λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,407,992
31,407,992
23 × 7 × 11 × 67 × 761
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 67 × 761
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 74,615,040
Proper Divisor Sum 43,207,048
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #31407979 ← → #31407997

Radix Representation

Decimal 31407992
Binary 1110111110011111101111000 (25 bits)
Octal 0o167637570
Hexadecimal 0x1DF3F78

Divisor Catalog (60 of 64)

1 2 4 7 8 11 14 22 28 44 56 67 77 88 134 154 268 308 469 536 616 737 761 938 1,474 1,522 1,876 2,948 3,044 3,752 5,159 5,327 5,896 6,088 8,371 10,318 10,654 16,742 20,636 21,308 33,484 41,272 42,616 50,987 58,597 66,968 101,974 117,194 203,948 234,388 356,909 407,896 468,776 560,857 713,818 1,121,714 1,427,636 2,243,428 2,855,272 3,925,999

Collatz Trajectory (294 steps to reach 1)

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

31,407,992 15,703,996 7,851,998 3,925,999 11,777,998 5,888,999 17,666,998 8,833,499 26,500,498 13,250,249 39,750,748 19,875,374 9,937,687 29,813,062 14,906,531 44,719,594 22,359,797 67,079,392 33,539,696 16,769,848 8,384,924 4,192,462 2,096,231 6,288,694 3,144,347 9,433,042 4,716,521 14,149,564 7,074,782 3,537,391 10,612,174 5,306,087 15,918,262 7,959,131 23,877,394 11,938,697 35,816,092 17,908,046 8,954,023 26,862,070 13,431,035 40,293,106 20,146,553 60,439,660 30,219,830 15,109,915 45,329,746 22,664,873 67,994,620 33,997,310 16,998,655 50,995,966 25,497,983 76,493,950 38,246,975 114,740,926 57,370,463 172,111,390 86,055,695 258,167,086

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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