48,752,828

2² × 29 × 37² × 307

48,752,828 factors as 2^2 × 29 × 37^2 × 307. Its 36 positive divisors give a proper-divisor sum of 42,251,932, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 37^2 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 91,004,760

Proper Divisor Sum 42,251,932

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #48752827 ← → #48752849

Radix Representation

Decimal	48752828
Binary	10111001111110100010111100 (26 bits)
Octal	0o271764274
Hexadecimal	0x2E7E8BC

Divisor Catalog (36)

Collatz Trajectory (230 steps to reach 1)

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

48,752,828 24,376,414 12,188,207 36,564,622 18,282,311 54,846,934 27,423,467 82,270,402 41,135,201 123,405,604 61,702,802 30,851,401 92,554,204 46,277,102 23,138,551 69,415,654 34,707,827 104,123,482 52,061,741 156,185,224 78,092,612 39,046,306 19,523,153 58,569,460 29,284,730 14,642,365 43,927,096 21,963,548 10,981,774 5,490,887 16,472,662 8,236,331 24,708,994 12,354,497 37,063,492 18,531,746 9,265,873 27,797,620 13,898,810 6,949,405 20,848,216 10,424,108 5,212,054 2,606,027 7,818,082 3,909,041 11,727,124 5,863,562 2,931,781 8,795,344 4,397,672 2,198,836 1,099,418 549,709 1,649,128 824,564 412,282 206,141 618,424 309,212

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