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Atlas › Integer Profiles › Node 57,579,280

57,579,280

24 × 5 × 11 × 59 × 1109
Abundant Even Composite

57,579,280 factors as 2^4 × 5 × 11 × 59 × 1109. Its 80 positive divisors give a proper-divisor sum of 91,071,920, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 59 × 1109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 148,651,200
Proper Divisor Sum 91,071,920
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57579271 ← → #57579317

Radix Representation

Decimal 57579280
Binary 11011011101001011100010000 (26 bits)
Octal 0o333513420
Hexadecimal 0x36E9710

Divisor Catalog (60 of 80)

1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1,109 1,180 1,298 2,218 2,360 2,596 3,245 4,436 4,720 5,192 5,545 6,490 8,872 10,384 11,090 12,199 12,980 17,744 22,180 24,398 25,960 44,360 48,796 51,920 60,995 65,431 88,720 97,592 121,990 130,862 195,184 243,980

Collatz Trajectory (70 steps to reach 1)

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

57,579,280 28,789,640 14,394,820 7,197,410 3,598,705 10,796,116 5,398,058 2,699,029 8,097,088 4,048,544 2,024,272 1,012,136 506,068 253,034 126,517 379,552 189,776 94,888 47,444 23,722 11,861 35,584 17,792 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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