48,769,736

2³ × 17 × 358601

48,769,736 factors as 2^3 × 17 × 358601. Its 16 positive divisors give a proper-divisor sum of 48,052,804, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 358601

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 96,822,540

Proper Divisor Sum 48,052,804

Digit Sum / Digital Root 50 (Root: 5)

Adjacent Primes #48769723 ← → #48769739

Radix Representation

Decimal	48769736
Binary	10111010000010101011001000 (26 bits)
Octal	0o272025310
Hexadecimal	0x2E82AC8

Divisor Catalog (16)

1 2 4 8 17 34 68 136 358,601 717,202 1,434,404 2,868,808 6,096,217 12,192,434 24,384,868 48,769,736

Collatz Trajectory (85 steps to reach 1)

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

48,769,736 24,384,868 12,192,434 6,096,217 18,288,652 9,144,326 4,572,163 13,716,490 6,858,245 20,574,736 10,287,368 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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