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57,798,650

2 × 52 × 7 × 13 × 12703
Abundant Even Composite

57,798,650 factors as 2 × 5^2 × 7 × 13 × 12703. Its 48 positive divisors give a proper-divisor sum of 74,526,214, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 13 × 12703
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 132,324,864
Proper Divisor Sum 74,526,214
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #57798649 ← → #57798677

Radix Representation

Decimal 57798650
Binary 11011100011110111111111010 (26 bits)
Octal 0o334367772
Hexadecimal 0x371EFFA

Divisor Catalog (48)

1 2 5 7 10 13 14 25 26 35 50 65 70 91 130 175 182 325 350 455 650 910 2,275 4,550 12,703 25,406 63,515 88,921 127,030 165,139 177,842 317,575 330,278 444,605 635,150 825,695 889,210 1,155,973 1,651,390 2,223,025 2,311,946 4,128,475 4,446,050 5,779,865 8,256,950 11,559,730 28,899,325 57,798,650

Collatz Trajectory (238 steps to reach 1)

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

57,798,650 28,899,325 86,697,976 43,348,988 21,674,494 10,837,247 32,511,742 16,255,871 48,767,614 24,383,807 73,151,422 36,575,711 109,727,134 54,863,567 164,590,702 82,295,351 246,886,054 123,443,027 370,329,082 185,164,541 555,493,624 277,746,812 138,873,406 69,436,703 208,310,110 104,155,055 312,465,166 156,232,583 468,697,750 234,348,875 703,046,626 351,523,313 1,054,569,940 527,284,970 263,642,485 790,927,456 395,463,728 197,731,864 98,865,932 49,432,966 24,716,483 74,149,450 37,074,725 111,224,176 55,612,088 27,806,044 13,903,022 6,951,511 20,854,534 10,427,267 31,281,802 15,640,901 46,922,704 23,461,352 11,730,676 5,865,338 2,932,669 8,798,008 4,399,004 2,199,502

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