57,737,760

2⁵ × 3 × 5 × 37 × 3251

57,737,760 factors as 2^5 × 3 × 5 × 37 × 3251. Its 96 positive divisors give a proper-divisor sum of 129,109,152, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 37 × 3251

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 186,846,912

Proper Divisor Sum 129,109,152

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #57737747 ← → #57737773

Radix Representation

Decimal	57737760
Binary	11011100010000001000100000 (26 bits)
Octal	0o334201040
Hexadecimal	0x3710220

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1,110 1,184 1,480 1,776 2,220 2,960 3,251 3,552 4,440 5,920 6,502 8,880 9,753 13,004 16,255 17,760 19,506 26,008 32,510 39,012 48,765 52,016 65,020

Collatz Trajectory (75 steps to reach 1)

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

57,737,760 28,868,880 14,434,440 7,217,220 3,608,610 1,804,305 5,412,916 2,706,458 1,353,229 4,059,688 2,029,844 1,014,922 507,461 1,522,384 761,192 380,596 190,298 95,149 285,448 142,724 71,362 35,681 107,044 53,522 26,761 80,284 40,142 20,071 60,214 30,107 90,322 45,161 135,484 67,742 33,871 101,614 50,807 152,422 76,211 228,634 114,317 342,952 171,476 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696

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