37,745,175

3 × 5² × 13 × 38713

37,745,175 factors as 3 × 5^2 × 13 × 38713. Its 24 positive divisors give a proper-divisor sum of 29,462,329, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 38713

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 67,207,504

Proper Divisor Sum 29,462,329

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #37745159 ← → #37745177

Radix Representation

Decimal	37745175
Binary	10001111111111001000010111 (26 bits)
Octal	0o217771027
Hexadecimal	0x23FF217

Divisor Catalog (24)

Collatz Trajectory (196 steps to reach 1)

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

37,745,175 113,235,526 56,617,763 169,853,290 84,926,645 254,779,936 127,389,968 63,694,984 31,847,492 15,923,746 7,961,873 23,885,620 11,942,810 5,971,405 17,914,216 8,957,108 4,478,554 2,239,277 6,717,832 3,358,916 1,679,458 839,729 2,519,188 1,259,594 629,797 1,889,392 944,696 472,348 236,174 118,087 354,262 177,131 531,394 265,697 797,092 398,546 199,273 597,820 298,910 149,455 448,366 224,183 672,550 336,275 1,008,826 504,413 1,513,240 756,620 378,310 189,155 567,466 283,733 851,200 425,600 212,800 106,400 53,200 26,600 13,300 6,650

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