λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,007,286
31,007,286
2 × 38 × 17 × 139
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^8 × 17 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 74,397,960
Proper Divisor Sum 43,390,674
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #31007267 ← → #31007299

Radix Representation

Decimal 31007286
Binary 1110110010010001000110110 (25 bits)
Octal 0o166221066
Hexadecimal 0x1D92236

Divisor Catalog (60 of 72)

1 2 3 6 9 17 18 27 34 51 54 81 102 139 153 162 243 278 306 417 459 486 729 834 918 1,251 1,377 1,458 2,187 2,363 2,502 2,754 3,753 4,131 4,374 4,726 6,561 7,089 7,506 8,262 11,259 12,393 13,122 14,178 21,267 22,518 24,786 33,777 37,179 42,534 63,801 67,554 74,358 101,331 111,537 127,602 191,403 202,662 223,074 303,993

Collatz Trajectory (188 steps to reach 1)

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

31,007,286 15,503,643 46,510,930 23,255,465 69,766,396 34,883,198 17,441,599 52,324,798 26,162,399 78,487,198 39,243,599 117,730,798 58,865,399 176,596,198 88,298,099 264,894,298 132,447,149 397,341,448 198,670,724 99,335,362 49,667,681 149,003,044 74,501,522 37,250,761 111,752,284 55,876,142 27,938,071 83,814,214 41,907,107 125,721,322 62,860,661 188,581,984 94,290,992 47,145,496 23,572,748 11,786,374 5,893,187 17,679,562 8,839,781 26,519,344 13,259,672 6,629,836 3,314,918 1,657,459 4,972,378 2,486,189 7,458,568 3,729,284 1,864,642 932,321 2,796,964 1,398,482 699,241 2,097,724 1,048,862 524,431 1,573,294 786,647 2,359,942 1,179,971

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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