48,087,742

2 × 29 × 131 × 6329

48,087,742 factors as 2 × 29 × 131 × 6329. Its 16 positive divisors give a proper-divisor sum of 27,112,658, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 29 × 131 × 6329

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 75,200,400

Proper Divisor Sum 27,112,658

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #48087737 ← → #48087751

Radix Representation

Decimal	48087742
Binary	10110111011100001010111110 (26 bits)
Octal	0o267341276
Hexadecimal	0x2DDC2BE

Divisor Catalog (16)

1 2 29 58 131 262 3,799 6,329 7,598 12,658 183,541 367,082 829,099 1,658,198 24,043,871 48,087,742

Collatz Trajectory (142 steps to reach 1)

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

48,087,742 24,043,871 72,131,614 36,065,807 108,197,422 54,098,711 162,296,134 81,148,067 243,444,202 121,722,101 365,166,304 182,583,152 91,291,576 45,645,788 22,822,894 11,411,447 34,234,342 17,117,171 51,351,514 25,675,757 77,027,272 38,513,636 19,256,818 9,628,409 28,885,228 14,442,614 7,221,307 21,663,922 10,831,961 32,495,884 16,247,942 8,123,971 24,371,914 12,185,957 36,557,872 18,278,936 9,139,468 4,569,734 2,284,867 6,854,602 3,427,301 10,281,904 5,140,952 2,570,476 1,285,238 642,619 1,927,858 963,929 2,891,788 1,445,894 722,947 2,168,842 1,084,421 3,253,264 1,626,632 813,316 406,658 203,329 609,988 304,994

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