λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,301,950
31,301,950
2 × 52 × 757 × 827
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 757 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 58,369,032
Proper Divisor Sum 27,067,082
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #31301929 ← → #31301951

Radix Representation

Decimal 31301950
Binary 1110111011010000100111110 (25 bits)
Octal 0o167320476
Hexadecimal 0x1DDA13E

Divisor Catalog (24)

1 2 5 10 25 50 757 827 1,514 1,654 3,785 4,135 7,570 8,270 18,925 20,675 37,850 41,350 626,039 1,252,078 3,130,195 6,260,390 15,650,975 31,301,950

Collatz Trajectory (206 steps to reach 1)

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

31,301,950 15,650,975 46,952,926 23,476,463 70,429,390 35,214,695 105,644,086 52,822,043 158,466,130 79,233,065 237,699,196 118,849,598 59,424,799 178,274,398 89,137,199 267,411,598 133,705,799 401,117,398 200,558,699 601,676,098 300,838,049 902,514,148 451,257,074 225,628,537 676,885,612 338,442,806 169,221,403 507,664,210 253,832,105 761,496,316 380,748,158 190,374,079 571,122,238 285,561,119 856,683,358 428,341,679 1,285,025,038 642,512,519 1,927,537,558 963,768,779 2,891,306,338 1,445,653,169 4,336,959,508 2,168,479,754 1,084,239,877 3,252,719,632 1,626,359,816 813,179,908 406,589,954 203,294,977 609,884,932 304,942,466 152,471,233 457,413,700 228,706,850 114,353,425 343,060,276 171,530,138 85,765,069 257,295,208

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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