57,246,720

2¹⁰ × 3 × 5 × 3727

57,246,720 factors as 2^10 × 3 × 5 × 3727. Its 88 positive divisors give a proper-divisor sum of 125,902,464, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^10 × 3 × 5 × 3727

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 88

Divisor Sum (σ) 183,149,184

Proper Divisor Sum 125,902,464

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #57246719 ← → #57246751

Radix Representation

Decimal	57246720
Binary	11011010011000010000000000 (26 bits)
Octal	0o332302000
Hexadecimal	0x3698400

Divisor Catalog (60 of 88)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1,024 1,280 1,536 1,920 2,560 3,072 3,727 3,840 5,120 7,454 7,680 11,181 14,908 15,360 18,635 22,362 29,816 37,270 44,724 55,905 59,632 74,540 89,448 111,810 119,264 149,080

Collatz Trajectory (101 steps to reach 1)

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

57,246,720 28,623,360 14,311,680 7,155,840 3,577,920 1,788,960 894,480 447,240 223,620 111,810 55,905 167,716 83,858 41,929 125,788 62,894 31,447 94,342 47,171 141,514 70,757 212,272 106,136 53,068 26,534 13,267 39,802 19,901 59,704 29,852 14,926 7,463 22,390 11,195 33,586 16,793 50,380 25,190 12,595 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096

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