48,720,524

2² × 67 × 107 × 1699

48,720,524 factors as 2^2 × 67 × 107 × 1699. Its 24 positive divisors give a proper-divisor sum of 38,673,076, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 107 × 1699

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 87,393,600

Proper Divisor Sum 38,673,076

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #48720523 ← → #48720547

Radix Representation

Decimal	48720524
Binary	10111001110110101010001100 (26 bits)
Octal	0o271665214
Hexadecimal	0x2E76A8C

Divisor Catalog (24)

Collatz Trajectory (137 steps to reach 1)

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

48,720,524 24,360,262 12,180,131 36,540,394 18,270,197 54,810,592 27,405,296 13,702,648 6,851,324 3,425,662 1,712,831 5,138,494 2,569,247 7,707,742 3,853,871 11,561,614 5,780,807 17,342,422 8,671,211 26,013,634 13,006,817 39,020,452 19,510,226 9,755,113 29,265,340 14,632,670 7,316,335 21,949,006 10,974,503 32,923,510 16,461,755 49,385,266 24,692,633 74,077,900 37,038,950 18,519,475 55,558,426 27,779,213 83,337,640 41,668,820 20,834,410 10,417,205 31,251,616 15,625,808 7,812,904 3,906,452 1,953,226 976,613 2,929,840 1,464,920 732,460 366,230 183,115 549,346 274,673 824,020 412,010 206,005 618,016 309,008

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