λ
Match Zalai

5,426,514

2 × 34 × 19 × 41 × 43
Abundant Even Composite

5,426,514 factors as 2 × 3^4 × 19 × 41 × 43. Its 80 positive divisors give a proper-divisor sum of 7,989,966, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 19 × 41 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 13,416,480
Proper Divisor Sum 7,989,966
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5426513 ← → #5426527

Radix Representation

Decimal 5426514
Binary 10100101100110101010010 (23 bits)
Octal 0o24546522
Hexadecimal 0x52CD52

Divisor Catalog (60 of 80)

1 2 3 6 9 18 19 27 38 41 43 54 57 81 82 86 114 123 129 162 171 246 258 342 369 387 513 738 774 779 817 1,026 1,107 1,161 1,539 1,558 1,634 1,763 2,214 2,322 2,337 2,451 3,078 3,321 3,483 3,526 4,674 4,902 5,289 6,642 6,966 7,011 7,353 10,578 14,022 14,706 15,867 21,033 22,059 31,734

Collatz Trajectory (232 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,426,514 2,713,257 8,139,772 4,069,886 2,034,943 6,104,830 3,052,415 9,157,246 4,578,623 13,735,870 6,867,935 20,603,806 10,301,903 30,905,710 15,452,855 46,358,566 23,179,283 69,537,850 34,768,925 104,306,776 52,153,388 26,076,694 13,038,347 39,115,042 19,557,521 58,672,564 29,336,282 14,668,141 44,004,424 22,002,212 11,001,106 5,500,553 16,501,660 8,250,830 4,125,415 12,376,246 6,188,123 18,564,370 9,282,185 27,846,556 13,923,278 6,961,639 20,884,918 10,442,459 31,327,378 15,663,689 46,991,068 23,495,534 11,747,767 35,243,302 17,621,651 52,864,954 26,432,477 79,297,432 39,648,716 19,824,358 9,912,179 29,736,538 14,868,269 44,604,808

More profiles

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