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Atlas › Integer Profiles › Node 57,764,240

57,764,240

24 × 5 × 499 × 1447
Abundant Even Composite

57,764,240 factors as 2^4 × 5 × 499 × 1447. Its 40 positive divisors give a proper-divisor sum of 76,899,760, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 499 × 1447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 134,664,000
Proper Divisor Sum 76,899,760
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #57764233 ← → #57764257

Radix Representation

Decimal 57764240
Binary 11011100010110100110010000 (26 bits)
Octal 0o334264620
Hexadecimal 0x3716990

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 499 998 1,447 1,996 2,495 2,894 3,992 4,990 5,788 7,235 7,984 9,980 11,576 14,470 19,960 23,152 28,940 39,920 57,880 115,760 722,053 1,444,106 2,888,212 3,610,265 5,776,424 7,220,530 11,552,848 14,441,060 28,882,120 57,764,240

Collatz Trajectory (145 steps to reach 1)

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

57,764,240 28,882,120 14,441,060 7,220,530 3,610,265 10,830,796 5,415,398 2,707,699 8,123,098 4,061,549 12,184,648 6,092,324 3,046,162 1,523,081 4,569,244 2,284,622 1,142,311 3,426,934 1,713,467 5,140,402 2,570,201 7,710,604 3,855,302 1,927,651 5,782,954 2,891,477 8,674,432 4,337,216 2,168,608 1,084,304 542,152 271,076 135,538 67,769 203,308 101,654 50,827 152,482 76,241 228,724 114,362 57,181 171,544 85,772 42,886 21,443 64,330 32,165 96,496 48,248 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072

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