48,737,524

2² × 11 × 71 × 15601

48,737,524 factors as 2^2 × 11 × 71 × 15601. Its 24 positive divisors give a proper-divisor sum of 45,623,372, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 71 × 15601

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 94,360,896

Proper Divisor Sum 45,623,372

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #48737509 ← → #48737539

Radix Representation

Decimal	48737524
Binary	10111001111010110011110100 (26 bits)
Octal	0o271726364
Hexadecimal	0x2E7ACF4

Divisor Catalog (24)

Collatz Trajectory (85 steps to reach 1)

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

48,737,524 24,368,762 12,184,381 36,553,144 18,276,572 9,138,286 4,569,143 13,707,430 6,853,715 20,561,146 10,280,573 30,841,720 15,420,860 7,710,430 3,855,215 11,565,646 5,782,823 17,348,470 8,674,235 26,022,706 13,011,353 39,034,060 19,517,030 9,758,515 29,275,546 14,637,773 43,913,320 21,956,660 10,978,330 5,489,165 16,467,496 8,233,748 4,116,874 2,058,437 6,175,312 3,087,656 1,543,828 771,914 385,957 1,157,872 578,936 289,468 144,734 72,367 217,102 108,551 325,654 162,827 488,482 244,241 732,724 366,362 183,181 549,544 274,772 137,386 68,693 206,080 103,040 51,520

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