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Atlas › Integer Profiles › Node 8,312,013

8,312,013

32 × 37 × 109 × 229
Deficient Odd Composite

8,312,013 factors as 3^2 × 37 × 109 × 229. Its 24 positive divisors give a proper-divisor sum of 4,186,187, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 109 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,498,200
Proper Divisor Sum 4,186,187
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #8311991 ← → #8312033

Radix Representation

Decimal 8312013
Binary 11111101101010011001101 (23 bits)
Octal 0o37552315
Hexadecimal 0x7ED4CD

Divisor Catalog (24)

1 3 9 37 109 111 229 327 333 687 981 2,061 4,033 8,473 12,099 24,961 25,419 36,297 74,883 76,257 224,649 923,557 2,770,671 8,312,013

Collatz Trajectory (155 steps to reach 1)

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

8,312,013 24,936,040 12,468,020 6,234,010 3,117,005 9,351,016 4,675,508 2,337,754 1,168,877 3,506,632 1,753,316 876,658 438,329 1,314,988 657,494 328,747 986,242 493,121 1,479,364 739,682 369,841 1,109,524 554,762 277,381 832,144 416,072 208,036 104,018 52,009 156,028 78,014 39,007 117,022 58,511 175,534 87,767 263,302 131,651 394,954 197,477 592,432 296,216 148,108 74,054 37,027 111,082 55,541 166,624 83,312 41,656 20,828 10,414 5,207 15,622 7,811 23,434 11,717 35,152 17,576 8,788

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