λ
Match Zalai

2,512,468

22 × 7 × 61 × 1471
Abundant Even Composite

2,512,468 factors as 2^2 × 7 × 61 × 1471. Its 24 positive divisors give a proper-divisor sum of 2,598,316, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 61 × 1471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,110,784
Proper Divisor Sum 2,598,316
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2512463 ← → #2512469

Radix Representation

Decimal 2512468
Binary 1001100101011001010100 (22 bits)
Octal 0o11453124
Hexadecimal 0x265654

Divisor Catalog (24)

1 2 4 7 14 28 61 122 244 427 854 1,471 1,708 2,942 5,884 10,297 20,594 41,188 89,731 179,462 358,924 628,117 1,256,234 2,512,468

Collatz Trajectory (174 steps to reach 1)

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

2,512,468 1,256,234 628,117 1,884,352 942,176 471,088 235,544 117,772 58,886 29,443 88,330 44,165 132,496 66,248 33,124 16,562 8,281 24,844 12,422 6,211 18,634 9,317 27,952 13,976 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666

More profiles

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