48,061,329

3 × 17 × 23 × 40973

48,061,329 factors as 3 × 17 × 23 × 40973. Its 16 positive divisors give a proper-divisor sum of 22,741,743, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 3 × 17 × 23 × 40973

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 70,803,072

Proper Divisor Sum 22,741,743

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #48061271 ← → #48061331

Radix Representation

Decimal	48061329
Binary	10110111010101101110010001 (26 bits)
Octal	0o267255621
Hexadecimal	0x2DD5B91

Divisor Catalog (16)

1 3 17 23 51 69 391 1,173 40,973 122,919 696,541 942,379 2,089,623 2,827,137 16,020,443 48,061,329

Collatz Trajectory (230 steps to reach 1)

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

48,061,329 144,183,988 72,091,994 36,045,997 108,137,992 54,068,996 27,034,498 13,517,249 40,551,748 20,275,874 10,137,937 30,413,812 15,206,906 7,603,453 22,810,360 11,405,180 5,702,590 2,851,295 8,553,886 4,276,943 12,830,830 6,415,415 19,246,246 9,623,123 28,869,370 14,434,685 43,304,056 21,652,028 10,826,014 5,413,007 16,239,022 8,119,511 24,358,534 12,179,267 36,537,802 18,268,901 54,806,704 27,403,352 13,701,676 6,850,838 3,425,419 10,276,258 5,138,129 15,414,388 7,707,194 3,853,597 11,560,792 5,780,396 2,890,198 1,445,099 4,335,298 2,167,649 6,502,948 3,251,474 1,625,737 4,877,212 2,438,606 1,219,303 3,657,910 1,828,955

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