λ
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Atlas › Integer Profiles › Node 31,399,485

31,399,485

3 × 5 × 13 × 23 × 7001
Deficient Odd Composite

31,399,485 factors as 3 × 5 × 13 × 23 × 7001. Its 32 positive divisors give a proper-divisor sum of 25,064,643, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 23 × 7001
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 56,464,128
Proper Divisor Sum 25,064,643
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #31399477 ← → #31399499

Radix Representation

Decimal 31399485
Binary 1110111110001111000111101 (25 bits)
Octal 0o167617075
Hexadecimal 0x1DF1E3D

Divisor Catalog (32)

1 3 5 13 15 23 39 65 69 115 195 299 345 897 1,495 4,485 7,001 21,003 35,005 91,013 105,015 161,023 273,039 455,065 483,069 805,115 1,365,195 2,093,299 2,415,345 6,279,897 10,466,495 31,399,485

Collatz Trajectory (157 steps to reach 1)

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

31,399,485 94,198,456 47,099,228 23,549,614 11,774,807 35,324,422 17,662,211 52,986,634 26,493,317 79,479,952 39,739,976 19,869,988 9,934,994 4,967,497 14,902,492 7,451,246 3,725,623 11,176,870 5,588,435 16,765,306 8,382,653 25,147,960 12,573,980 6,286,990 3,143,495 9,430,486 4,715,243 14,145,730 7,072,865 21,218,596 10,609,298 5,304,649 15,913,948 7,956,974 3,978,487 11,935,462 5,967,731 17,903,194 8,951,597 26,854,792 13,427,396 6,713,698 3,356,849 10,070,548 5,035,274 2,517,637 7,552,912 3,776,456 1,888,228 944,114 472,057 1,416,172 708,086 354,043 1,062,130 531,065 1,593,196 796,598 398,299 1,194,898

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