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Atlas › Integer Profiles › Node 14,870,080

14,870,080

26 × 5 × 31 × 1499
Abundant Even Composite

14,870,080 factors as 2^6 × 5 × 31 × 1499. Its 56 positive divisors give a proper-divisor sum of 21,705,920, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 31 × 1499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 36,576,000
Proper Divisor Sum 21,705,920
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #14870077 ← → #14870083

Radix Representation

Decimal 14870080
Binary 111000101110011001000000 (24 bits)
Octal 0o70563100
Hexadecimal 0xE2E640

Divisor Catalog (56)

1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1,240 1,499 1,984 2,480 2,998 4,960 5,996 7,495 9,920 11,992 14,990 23,984 29,980 46,469 47,968 59,960 92,938 95,936 119,920 185,876 232,345 239,840 371,752 464,690 479,680 743,504 929,380 1,487,008 1,858,760 2,974,016 3,717,520 7,435,040 14,870,080

Collatz Trajectory (81 steps to reach 1)

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

14,870,080 7,435,040 3,717,520 1,858,760 929,380 464,690 232,345 697,036 348,518 174,259 522,778 261,389 784,168 392,084 196,042 98,021 294,064 147,032 73,516 36,758 18,379 55,138 27,569 82,708 41,354 20,677 62,032 31,016 15,508 7,754 3,877 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74

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