λ
Match Zalai

5,850,792

23 × 34 × 9029
Abundant Even Composite

5,850,792 factors as 2^3 × 3^4 × 9029. Its 40 positive divisors give a proper-divisor sum of 10,538,658, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 9029
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,389,450
Proper Divisor Sum 10,538,658
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5850791 ← → #5850811

Radix Representation

Decimal 5850792
Binary 10110010100011010101000 (23 bits)
Octal 0o26243250
Hexadecimal 0x5946A8

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 9,029 18,058 27,087 36,116 54,174 72,232 81,261 108,348 162,522 216,696 243,783 325,044 487,566 650,088 731,349 975,132 1,462,698 1,950,264 2,925,396 5,850,792

Collatz Trajectory (183 steps to reach 1)

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

5,850,792 2,925,396 1,462,698 731,349 2,194,048 1,097,024 548,512 274,256 137,128 68,564 34,282 17,141 51,424 25,712 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208

More profiles

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