48,756,948

2² × 3 × 1511 × 2689

48,756,948 factors as 2^2 × 3 × 1511 × 2689. Its 24 positive divisors give a proper-divisor sum of 65,126,892, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 1511 × 2689

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 113,883,840

Proper Divisor Sum 65,126,892

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #48756947 ← → #48756971

Radix Representation

Decimal	48756948
Binary	10111001111111100011010100 (26 bits)
Octal	0o271774324
Hexadecimal	0x2E7F8D4

Divisor Catalog (24)

Collatz Trajectory (137 steps to reach 1)

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

48,756,948 24,378,474 12,189,237 36,567,712 18,283,856 9,141,928 4,570,964 2,285,482 1,142,741 3,428,224 1,714,112 857,056 428,528 214,264 107,132 53,566 26,783 80,350 40,175 120,526 60,263 180,790 90,395 271,186 135,593 406,780 203,390 101,695 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380 579,190 289,595 868,786 434,393 1,303,180 651,590 325,795 977,386 488,693 1,466,080 733,040 366,520 183,260 91,630 45,815 137,446 68,723 206,170 103,085 309,256

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