48,769,732

2² × 11 × 19 × 58337

48,769,732 factors as 2^2 × 11 × 19 × 58337. Its 24 positive divisors give a proper-divisor sum of 49,238,108, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 58337

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 98,007,840

Proper Divisor Sum 49,238,108

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #48769723 ← → #48769739

Radix Representation

Decimal	48769732
Binary	10111010000010101011000100 (26 bits)
Octal	0o272025304
Hexadecimal	0x2E82AC4

Divisor Catalog (24)

Collatz Trajectory (85 steps to reach 1)

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

48,769,732 24,384,866 12,192,433 36,577,300 18,288,650 9,144,325 27,432,976 13,716,488 6,858,244 3,429,122 1,714,561 5,143,684 2,571,842 1,285,921 3,857,764 1,928,882 964,441 2,893,324 1,446,662 723,331 2,169,994 1,084,997 3,254,992 1,627,496 813,748 406,874 203,437 610,312 305,156 152,578 76,289 228,868 114,434 57,217 171,652 85,826 42,913 128,740 64,370 32,185 96,556 48,278 24,139 72,418 36,209 108,628 54,314 27,157 81,472 40,736 20,368 10,184 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433

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