λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,258,396
31,258,396
22 × 13 × 257 × 2339
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 257 × 2339
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 59,164,560
Proper Divisor Sum 27,906,164
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #31258391 ← → #31258397

Radix Representation

Decimal 31258396
Binary 1110111001111011100011100 (25 bits)
Octal 0o167173434
Hexadecimal 0x1DCF71C

Divisor Catalog (24)

1 2 4 13 26 52 257 514 1,028 2,339 3,341 4,678 6,682 9,356 13,364 30,407 60,814 121,628 601,123 1,202,246 2,404,492 7,814,599 15,629,198 31,258,396

Collatz Trajectory (126 steps to reach 1)

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

31,258,396 15,629,198 7,814,599 23,443,798 11,721,899 35,165,698 17,582,849 52,748,548 26,374,274 13,187,137 39,561,412 19,780,706 9,890,353 29,671,060 14,835,530 7,417,765 22,253,296 11,126,648 5,563,324 2,781,662 1,390,831 4,172,494 2,086,247 6,258,742 3,129,371 9,388,114 4,694,057 14,082,172 7,041,086 3,520,543 10,561,630 5,280,815 15,842,446 7,921,223 23,763,670 11,881,835 35,645,506 17,822,753 53,468,260 26,734,130 13,367,065 40,101,196 20,050,598 10,025,299 30,075,898 15,037,949 45,113,848 22,556,924 11,278,462 5,639,231 16,917,694 8,458,847 25,376,542 12,688,271 38,064,814 19,032,407 57,097,222 28,548,611 85,645,834 42,822,917

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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