48,060,405

3³ × 5 × 19 × 41 × 457

48,060,405 factors as 3^3 × 5 × 19 × 41 × 457. Its 64 positive divisors give a proper-divisor sum of 44,272,395, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 19 × 41 × 457

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 92,332,800

Proper Divisor Sum 44,272,395

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #48060359 ← → #48060413

Radix Representation

Decimal	48060405
Binary	10110111010101011111110101 (26 bits)
Octal	0o267253765
Hexadecimal	0x2DD57F5

Divisor Catalog (60 of 64)

1 3 5 9 15 19 27 41 45 57 95 123 135 171 205 285 369 457 513 615 779 855 1,107 1,371 1,845 2,285 2,337 2,565 3,895 4,113 5,535 6,855 7,011 8,683 11,685 12,339 18,737 20,565 21,033 26,049 35,055 43,415 56,211 61,695 78,147 93,685 105,165 130,245 168,633 234,441 281,055 356,003 390,735 505,899 843,165 1,068,009 1,172,205 1,780,015 2,529,495 3,204,027

Collatz Trajectory (199 steps to reach 1)

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

48,060,405 144,181,216 72,090,608 36,045,304 18,022,652 9,011,326 4,505,663 13,516,990 6,758,495 20,275,486 10,137,743 30,413,230 15,206,615 45,619,846 22,809,923 68,429,770 34,214,885 102,644,656 51,322,328 25,661,164 12,830,582 6,415,291 19,245,874 9,622,937 28,868,812 14,434,406 7,217,203 21,651,610 10,825,805 32,477,416 16,238,708 8,119,354 4,059,677 12,179,032 6,089,516 3,044,758 1,522,379 4,567,138 2,283,569 6,850,708 3,425,354 1,712,677 5,138,032 2,569,016 1,284,508 642,254 321,127 963,382 481,691 1,445,074 722,537 2,167,612 1,083,806 541,903 1,625,710 812,855 2,438,566 1,219,283 3,657,850 1,828,925

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