59,972,480

2⁷ × 5 × 83 × 1129

59,972,480 factors as 2^7 × 5 × 83 × 1129. Its 64 positive divisors give a proper-divisor sum of 85,255,120, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 83 × 1129

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 145,227,600

Proper Divisor Sum 85,255,120

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #59972467 ← → #59972489

Radix Representation

Decimal	59972480
Binary	11100100110001101110000000 (26 bits)
Octal	0o344615600
Hexadecimal	0x3931B80

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 320 332 415 640 664 830 1,129 1,328 1,660 2,258 2,656 3,320 4,516 5,312 5,645 6,640 9,032 10,624 11,290 13,280 18,064 22,580 26,560 36,128 45,160 53,120 72,256 90,320 93,707 144,512 180,640 187,414 361,280 374,828 468,535 722,560 749,656 937,070 1,499,312 1,874,140 2,998,624 3,748,280 5,997,248 7,496,560

Collatz Trajectory (189 steps to reach 1)

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

59,972,480 29,986,240 14,993,120 7,496,560 3,748,280 1,874,140 937,070 468,535 1,405,606 702,803 2,108,410 1,054,205 3,162,616 1,581,308 790,654 395,327 1,185,982 592,991 1,778,974 889,487 2,668,462 1,334,231 4,002,694 2,001,347 6,004,042 3,002,021 9,006,064 4,503,032 2,251,516 1,125,758 562,879 1,688,638 844,319 2,532,958 1,266,479 3,799,438 1,899,719 5,699,158 2,849,579 8,548,738 4,274,369 12,823,108 6,411,554 3,205,777 9,617,332 4,808,666 2,404,333 7,213,000 3,606,500 1,803,250 901,625 2,704,876 1,352,438 676,219 2,028,658 1,014,329 3,042,988 1,521,494 760,747 2,282,242

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