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Atlas › Integer Profiles › Node 31,030,696

31,030,696

23 × 29 × 59 × 2267
Deficient Even Composite

31,030,696 factors as 2^3 × 29 × 59 × 2267. Its 32 positive divisors give a proper-divisor sum of 30,205,304, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 59 × 2267
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 61,236,000
Proper Divisor Sum 30,205,304
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #31030693 ← → #31030697

Radix Representation

Decimal 31030696
Binary 1110110010111110110101000 (25 bits)
Octal 0o166276650
Hexadecimal 0x1D97DA8

Divisor Catalog (32)

1 2 4 8 29 58 59 116 118 232 236 472 1,711 2,267 3,422 4,534 6,844 9,068 13,688 18,136 65,743 131,486 133,753 262,972 267,506 525,944 535,012 1,070,024 3,878,837 7,757,674 15,515,348 31,030,696

Collatz Trajectory (219 steps to reach 1)

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

31,030,696 15,515,348 7,757,674 3,878,837 11,636,512 5,818,256 2,909,128 1,454,564 727,282 363,641 1,090,924 545,462 272,731 818,194 409,097 1,227,292 613,646 306,823 920,470 460,235 1,380,706 690,353 2,071,060 1,035,530 517,765 1,553,296 776,648 388,324 194,162 97,081 291,244 145,622 72,811 218,434 109,217 327,652 163,826 81,913 245,740 122,870 61,435 184,306 92,153 276,460 138,230 69,115 207,346 103,673 311,020 155,510 77,755 233,266 116,633 349,900 174,950 87,475 262,426 131,213 393,640 196,820

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