4,132,974

2 × 3 × 37 × 18617

4,132,974 factors as 2 × 3 × 37 × 18617. Its 16 positive divisors give a proper-divisor sum of 4,356,834, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 18617

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,489,808

Proper Divisor Sum 4,356,834

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4132969 ← → #4132979

Radix Representation

Decimal	4132974
Binary	1111110001000001101110 (22 bits)
Octal	0o17610156
Hexadecimal	0x3F106E

Divisor Catalog (16)

1 2 3 6 37 74 111 222 18,617 37,234 55,851 111,702 688,829 1,377,658 2,066,487 4,132,974

Collatz Trajectory (229 steps to reach 1)

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

4,132,974 2,066,487 6,199,462 3,099,731 9,299,194 4,649,597 13,948,792 6,974,396 3,487,198 1,743,599 5,230,798 2,615,399 7,846,198 3,923,099 11,769,298 5,884,649 17,653,948 8,826,974 4,413,487 13,240,462 6,620,231 19,860,694 9,930,347 29,791,042 14,895,521 44,686,564 22,343,282 11,171,641 33,514,924 16,757,462 8,378,731 25,136,194 12,568,097 37,704,292 18,852,146 9,426,073 28,278,220 14,139,110 7,069,555 21,208,666 10,604,333 31,813,000 15,906,500 7,953,250 3,976,625 11,929,876 5,964,938 2,982,469 8,947,408 4,473,704 2,236,852 1,118,426 559,213 1,677,640 838,820 419,410 209,705 629,116 314,558 157,279

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