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Atlas › Integer Profiles › Node 57,714,810

57,714,810

2 × 3 × 5 × 839 × 2293
Abundant Even Composite

57,714,810 factors as 2 × 3 × 5 × 839 × 2293. Its 32 positive divisors give a proper-divisor sum of 81,026,310, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 839 × 2293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 138,741,120
Proper Divisor Sum 81,026,310
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #57714781 ← → #57714821

Radix Representation

Decimal 57714810
Binary 11011100001010100001111010 (26 bits)
Octal 0o334124172
Hexadecimal 0x370A87A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 839 1,678 2,293 2,517 4,195 4,586 5,034 6,879 8,390 11,465 12,585 13,758 22,930 25,170 34,395 68,790 1,923,827 3,847,654 5,771,481 9,619,135 11,542,962 19,238,270 28,857,405 57,714,810

Collatz Trajectory (75 steps to reach 1)

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

57,714,810 28,857,405 86,572,216 43,286,108 21,643,054 10,821,527 32,464,582 16,232,291 48,696,874 24,348,437 73,045,312 36,522,656 18,261,328 9,130,664 4,565,332 2,282,666 1,141,333 3,424,000 1,712,000 856,000 428,000 214,000 107,000 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696

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