48,769,738

2 × 47 × 173 × 2999

48,769,738 factors as 2 × 47 × 173 × 2999. Its 16 positive divisors give a proper-divisor sum of 26,398,262, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2 × 47 × 173 × 2999

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 75,168,000

Proper Divisor Sum 26,398,262

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #48769723 ← → #48769739

Radix Representation

Decimal	48769738
Binary	10111010000010101011001010 (26 bits)
Octal	0o272025312
Hexadecimal	0x2E82ACA

Divisor Catalog (16)

1 2 47 94 173 346 2,999 5,998 8,131 16,262 140,953 281,906 518,827 1,037,654 24,384,869 48,769,738

Collatz Trajectory (85 steps to reach 1)

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

48,769,738 24,384,869 73,154,608 36,577,304 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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