37,725,718

2 × 37 × 53 × 9619

37,725,718 factors as 2 × 37 × 53 × 9619. Its 16 positive divisors give a proper-divisor sum of 21,495,002, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2 × 37 × 53 × 9619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 59,220,720

Proper Divisor Sum 21,495,002

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #37725713 ← → #37725763

Radix Representation

Decimal	37725718
Binary	10001111111010011000010110 (26 bits)
Octal	0o217723026
Hexadecimal	0x23FA616

Divisor Catalog (16)

1 2 37 53 74 106 1,961 3,922 9,619 19,238 355,903 509,807 711,806 1,019,614 18,862,859 37,725,718

Collatz Trajectory (227 steps to reach 1)

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

37,725,718 18,862,859 56,588,578 28,294,289 84,882,868 42,441,434 21,220,717 63,662,152 31,831,076 15,915,538 7,957,769 23,873,308 11,936,654 5,968,327 17,904,982 8,952,491 26,857,474 13,428,737 40,286,212 20,143,106 10,071,553 30,214,660 15,107,330 7,553,665 22,660,996 11,330,498 5,665,249 16,995,748 8,497,874 4,248,937 12,746,812 6,373,406 3,186,703 9,560,110 4,780,055 14,340,166 7,170,083 21,510,250 10,755,125 32,265,376 16,132,688 8,066,344 4,033,172 2,016,586 1,008,293 3,024,880 1,512,440 756,220 378,110 189,055 567,166 283,583 850,750 425,375 1,276,126 638,063 1,914,190 957,095 2,871,286 1,435,643

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