λ
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Atlas › Integer Profiles › Node 31,364,655

31,364,655

3 × 5 × 72 × 139 × 307
Deficient Odd Composite

31,364,655 factors as 3 × 5 × 7^2 × 139 × 307. Its 48 positive divisors give a proper-divisor sum of 27,623,505, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 139 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 58,988,160
Proper Divisor Sum 27,623,505
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #31364647 ← → #31364657

Radix Representation

Decimal 31364655
Binary 1110111101001011000101111 (25 bits)
Octal 0o167513057
Hexadecimal 0x1DE962F

Divisor Catalog (48)

1 3 5 7 15 21 35 49 105 139 147 245 307 417 695 735 921 973 1,535 2,085 2,149 2,919 4,605 4,865 6,447 6,811 10,745 14,595 15,043 20,433 32,235 34,055 42,673 45,129 75,215 102,165 128,019 213,365 225,645 298,711 640,095 896,133 1,493,555 2,090,977 4,480,665 6,272,931 10,454,885 31,364,655

Collatz Trajectory (219 steps to reach 1)

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

31,364,655 94,093,966 47,046,983 141,140,950 70,570,475 211,711,426 105,855,713 317,567,140 158,783,570 79,391,785 238,175,356 119,087,678 59,543,839 178,631,518 89,315,759 267,947,278 133,973,639 401,920,918 200,960,459 602,881,378 301,440,689 904,322,068 452,161,034 226,080,517 678,241,552 339,120,776 169,560,388 84,780,194 42,390,097 127,170,292 63,585,146 31,792,573 95,377,720 47,688,860 23,844,430 11,922,215 35,766,646 17,883,323 53,649,970 26,824,985 80,474,956 40,237,478 20,118,739 60,356,218 30,178,109 90,534,328 45,267,164 22,633,582 11,316,791 33,950,374 16,975,187 50,925,562 25,462,781 76,388,344 38,194,172 19,097,086 9,548,543 28,645,630 14,322,815 42,968,446

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