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Atlas › Integer Profiles › Node 51,459,990

51,459,990

2 × 3 × 5 × 109 × 15737
Abundant Even Composite

51,459,990 factors as 2 × 3 × 5 × 109 × 15737. Its 32 positive divisors give a proper-divisor sum of 73,184,970, so this integer is abundant. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 109 × 15737
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 124,644,960
Proper Divisor Sum 73,184,970
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #51459931 ← → #51459997

Radix Representation

Decimal 51459990
Binary 11000100010011011110010110 (26 bits)
Octal 0o304233626
Hexadecimal 0x3113796

Divisor Catalog (32)

1 2 3 5 6 10 15 30 109 218 327 545 654 1,090 1,635 3,270 15,737 31,474 47,211 78,685 94,422 157,370 236,055 472,110 1,715,333 3,430,666 5,145,999 8,576,665 10,291,998 17,153,330 25,729,995 51,459,990

Collatz Trajectory (274 steps to reach 1)

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

51,459,990 25,729,995 77,189,986 38,594,993 115,784,980 57,892,490 28,946,245 86,838,736 43,419,368 21,709,684 10,854,842 5,427,421 16,282,264 8,141,132 4,070,566 2,035,283 6,105,850 3,052,925 9,158,776 4,579,388 2,289,694 1,144,847 3,434,542 1,717,271 5,151,814 2,575,907 7,727,722 3,863,861 11,591,584 5,795,792 2,897,896 1,448,948 724,474 362,237 1,086,712 543,356 271,678 135,839 407,518 203,759 611,278 305,639 916,918 458,459 1,375,378 687,689 2,063,068 1,031,534 515,767 1,547,302 773,651 2,320,954 1,160,477 3,481,432 1,740,716 870,358 435,179 1,305,538 652,769 1,958,308

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