λ
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Atlas › Integer Profiles › Node 18,696,860

18,696,860

22 × 5 × 7 × 13 × 10273
Abundant Even Composite

18,696,860 factors as 2^2 × 5 × 7 × 13 × 10273. Its 48 positive divisors give a proper-divisor sum of 29,632,036, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 13 × 10273
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 48,328,896
Proper Divisor Sum 29,632,036
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #18696857 ← → #18696871

Radix Representation

Decimal 18696860
Binary 1000111010100101010011100 (25 bits)
Octal 0o107245234
Hexadecimal 0x11D4A9C

Divisor Catalog (48)

1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1,820 10,273 20,546 41,092 51,365 71,911 102,730 133,549 143,822 205,460 267,098 287,644 359,555 534,196 667,745 719,110 934,843 1,335,490 1,438,220 1,869,686 2,670,980 3,739,372 4,674,215 9,348,430 18,696,860

Collatz Trajectory (76 steps to reach 1)

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

18,696,860 9,348,430 4,674,215 14,022,646 7,011,323 21,033,970 10,516,985 31,550,956 15,775,478 7,887,739 23,663,218 11,831,609 35,494,828 17,747,414 8,873,707 26,621,122 13,310,561 39,931,684 19,965,842 9,982,921 29,948,764 14,974,382 7,487,191 22,461,574 11,230,787 33,692,362 16,846,181 50,538,544 25,269,272 12,634,636 6,317,318 3,158,659 9,475,978 4,737,989 14,213,968 7,106,984 3,553,492 1,776,746 888,373 2,665,120 1,332,560 666,280 333,140 166,570 83,285 249,856 124,928 62,464 31,232 15,616 7,808 3,904 1,952 976 488 244 122 61 184 92

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