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Atlas › Integer Profiles › Node 11,637,012

11,637,012

22 × 3 × 472 × 439
Abundant Even Composite

11,637,012 factors as 2^2 × 3 × 47^2 × 439. Its 36 positive divisors give a proper-divisor sum of 16,169,228, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 47^2 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 27,806,240
Proper Divisor Sum 16,169,228
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #11637001 ← → #11637013

Radix Representation

Decimal 11637012
Binary 101100011001000100010100 (24 bits)
Octal 0o54310424
Hexadecimal 0xB19114

Divisor Catalog (36)

1 2 3 4 6 12 47 94 141 188 282 439 564 878 1,317 1,756 2,209 2,634 4,418 5,268 6,627 8,836 13,254 20,633 26,508 41,266 61,899 82,532 123,798 247,596 969,751 1,939,502 2,909,253 3,879,004 5,818,506 11,637,012

Collatz Trajectory (215 steps to reach 1)

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

11,637,012 5,818,506 2,909,253 8,727,760 4,363,880 2,181,940 1,090,970 545,485 1,636,456 818,228 409,114 204,557 613,672 306,836 153,418 76,709 230,128 115,064 57,532 28,766 14,383 43,150 21,575 64,726 32,363 97,090 48,545 145,636 72,818 36,409 109,228 54,614 27,307 81,922 40,961 122,884 61,442 30,721 92,164 46,082 23,041 69,124 34,562 17,281 51,844 25,922 12,961 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305

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