λ
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Atlas › Integer Profiles › Node 6,131,307

6,131,307

3 × 7 × 13 × 37 × 607
Deficient Odd Composite

6,131,307 factors as 3 × 7 × 13 × 37 × 607. Its 32 positive divisors give a proper-divisor sum of 4,219,285, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 37 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,350,592
Proper Divisor Sum 4,219,285
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6131303 ← → #6131309

Radix Representation

Decimal 6131307
Binary 10111011000111001101011 (23 bits)
Octal 0o27307153
Hexadecimal 0x5D8E6B

Divisor Catalog (32)

1 3 7 13 21 37 39 91 111 259 273 481 607 777 1,443 1,821 3,367 4,249 7,891 10,101 12,747 22,459 23,673 55,237 67,377 157,213 165,711 291,967 471,639 875,901 2,043,769 6,131,307

Collatz Trajectory (152 steps to reach 1)

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

6,131,307 18,393,922 9,196,961 27,590,884 13,795,442 6,897,721 20,693,164 10,346,582 5,173,291 15,519,874 7,759,937 23,279,812 11,639,906 5,819,953 17,459,860 8,729,930 4,364,965 13,094,896 6,547,448 3,273,724 1,636,862 818,431 2,455,294 1,227,647 3,682,942 1,841,471 5,524,414 2,762,207 8,286,622 4,143,311 12,429,934 6,214,967 18,644,902 9,322,451 27,967,354 13,983,677 41,951,032 20,975,516 10,487,758 5,243,879 15,731,638 7,865,819 23,597,458 11,798,729 35,396,188 17,698,094 8,849,047 26,547,142 13,273,571 39,820,714 19,910,357 59,731,072 29,865,536 14,932,768 7,466,384 3,733,192 1,866,596 933,298 466,649 1,399,948

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