37,708,564

2² × 277 × 34033

37,708,564 factors as 2^2 × 277 × 34033. Its 12 positive divisors give a proper-divisor sum of 28,521,600, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^2 × 277 × 34033

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 66,230,164

Proper Divisor Sum 28,521,600

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #37708537 ← → #37708577

Radix Representation

Decimal	37708564
Binary	10001111110110001100010100 (26 bits)
Octal	0o217661424
Hexadecimal	0x23F6314

Divisor Catalog (12)

1 2 4 277 554 1,108 34,033 68,066 136,132 9,427,141 18,854,282 37,708,564

Collatz Trajectory (196 steps to reach 1)

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

37,708,564 18,854,282 9,427,141 28,281,424 14,140,712 7,070,356 3,535,178 1,767,589 5,302,768 2,651,384 1,325,692 662,846 331,423 994,270 497,135 1,491,406 745,703 2,237,110 1,118,555 3,355,666 1,677,833 5,033,500 2,516,750 1,258,375 3,775,126 1,887,563 5,662,690 2,831,345 8,494,036 4,247,018 2,123,509 6,370,528 3,185,264 1,592,632 796,316 398,158 199,079 597,238 298,619 895,858 447,929 1,343,788 671,894 335,947 1,007,842 503,921 1,511,764 755,882 377,941 1,133,824 566,912 283,456 141,728 70,864 35,432 17,716 8,858 4,429 13,288 6,644

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