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Atlas › Integer Profiles › Node 8,131,981

8,131,981

11 × 13 × 19 × 41 × 73
Deficient Odd Composite

8,131,981 factors as 11 × 13 × 19 × 41 × 73. Its 32 positive divisors give a proper-divisor sum of 2,310,899, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 11 × 13 × 19 × 41 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,442,880
Proper Divisor Sum 2,310,899
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8131969 ← → #8131993

Radix Representation

Decimal 8131981
Binary 11111000001010110001101 (23 bits)
Octal 0o37012615
Hexadecimal 0x7C158D

Divisor Catalog (32)

1 11 13 19 41 73 143 209 247 451 533 779 803 949 1,387 2,717 2,993 5,863 8,569 10,127 10,439 15,257 18,031 32,923 38,909 56,867 111,397 198,341 427,999 625,537 739,271 8,131,981

Collatz Trajectory (137 steps to reach 1)

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

8,131,981 24,395,944 12,197,972 6,098,986 3,049,493 9,148,480 4,574,240 2,287,120 1,143,560 571,780 285,890 142,945 428,836 214,418 107,209 321,628 160,814 80,407 241,222 120,611 361,834 180,917 542,752 271,376 135,688 67,844 33,922 16,961 50,884 25,442 12,721 38,164 19,082 9,541 28,624 14,312 7,156 3,578 1,789 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612

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