48,758,924

2² × 17² × 42179

48,758,924 factors as 2^2 × 17^2 × 42179. Its 18 positive divisors give a proper-divisor sum of 41,885,896, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 17^2 × 42179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 90,644,820

Proper Divisor Sum 41,885,896

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #48758923 ← → #48758929

Radix Representation

Decimal	48758924
Binary	10111010000000000010001100 (26 bits)
Octal	0o272000214
Hexadecimal	0x2E8008C

Divisor Catalog (18)

1 2 4 17 34 68 289 578 1,156 42,179 84,358 168,716 717,043 1,434,086 2,868,172 12,189,731 24,379,462 48,758,924

Collatz Trajectory (93 steps to reach 1)

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

48,758,924 24,379,462 12,189,731 36,569,194 18,284,597 54,853,792 27,426,896 13,713,448 6,856,724 3,428,362 1,714,181 5,142,544 2,571,272 1,285,636 642,818 321,409 964,228 482,114 241,057 723,172 361,586 180,793 542,380 271,190 135,595 406,786 203,393 610,180 305,090 152,545 457,636 228,818 114,409 343,228 171,614 85,807 257,422 128,711 386,134 193,067 579,202 289,601 868,804 434,402 217,201 651,604 325,802 162,901 488,704 244,352 122,176 61,088 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432

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