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Atlas › Integer Profiles › Node 12,371,808

12,371,808

25 × 3 × 128873
Abundant Even Composite

12,371,808 factors as 2^5 × 3 × 128873. Its 24 positive divisors give a proper-divisor sum of 20,104,440, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 128873
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 32,476,248
Proper Divisor Sum 20,104,440
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #12371803 ← → #12371809

Radix Representation

Decimal 12371808
Binary 101111001100011101100000 (24 bits)
Octal 0o57143540
Hexadecimal 0xBCC760

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 128,873 257,746 386,619 515,492 773,238 1,030,984 1,546,476 2,061,968 3,092,952 4,123,936 6,185,904 12,371,808

Collatz Trajectory (91 steps to reach 1)

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

12,371,808 6,185,904 3,092,952 1,546,476 773,238 386,619 1,159,858 579,929 1,739,788 869,894 434,947 1,304,842 652,421 1,957,264 978,632 489,316 244,658 122,329 366,988 183,494 91,747 275,242 137,621 412,864 206,432 103,216 51,608 25,804 12,902 6,451 19,354 9,677 29,032 14,516 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120

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