48,769,722

2 × 3³ × 903143

48,769,722 factors as 2 × 3^3 × 903143. Its 16 positive divisors give a proper-divisor sum of 59,607,558, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 903143

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 108,377,280

Proper Divisor Sum 59,607,558

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #48769711 ← → #48769723

Radix Representation

Decimal	48769722
Binary	10111010000010101010111010 (26 bits)
Octal	0o272025272
Hexadecimal	0x2E82ABA

Divisor Catalog (16)

1 2 3 6 9 18 27 54 903,143 1,806,286 2,709,429 5,418,858 8,128,287 16,256,574 24,384,861 48,769,722

Collatz Trajectory (85 steps to reach 1)

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

48,769,722 24,384,861 73,154,584 36,577,292 18,288,646 9,144,323 27,432,970 13,716,485 41,149,456 20,574,728 10,287,364 5,143,682 2,571,841 7,715,524 3,857,762 1,928,881 5,786,644 2,893,322 1,446,661 4,339,984 2,169,992 1,084,996 542,498 271,249 813,748 406,874 203,437 610,312 305,156 152,578 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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