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Atlas › Integer Profiles › Node 1,815,984

1,815,984

24 × 32 × 12611
Abundant Even Composite

1,815,984 factors as 2^4 × 3^2 × 12611. Its 30 positive divisors give a proper-divisor sum of 3,266,652, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 12611
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 5,082,636
Proper Divisor Sum 3,266,652
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1815977 ← → #1816007

Radix Representation

Decimal 1815984
Binary 110111011010110110000 (21 bits)
Octal 0o6732660
Hexadecimal 0x1BB5B0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12,611 25,222 37,833 50,444 75,666 100,888 113,499 151,332 201,776 226,998 302,664 453,996 605,328 907,992 1,815,984

Collatz Trajectory (109 steps to reach 1)

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

1,815,984 907,992 453,996 226,998 113,499 340,498 170,249 510,748 255,374 127,687 383,062 191,531 574,594 287,297 861,892 430,946 215,473 646,420 323,210 161,605 484,816 242,408 121,204 60,602 30,301 90,904 45,452 22,726 11,363 34,090 17,045 51,136 25,568 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924

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