λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,122,100
20,122,100
22 × 52 × 31 × 6491
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 31 × 6491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 45,080,448
Proper Divisor Sum 24,958,348
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #20122093 ← → #20122133

Radix Representation

Decimal 20122100
Binary 1001100110000100111110100 (25 bits)
Octal 0o114604764
Hexadecimal 0x13309F4

Divisor Catalog (36)

1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1,550 3,100 6,491 12,982 25,964 32,455 64,910 129,820 162,275 201,221 324,550 402,442 649,100 804,884 1,006,105 2,012,210 4,024,420 5,030,525 10,061,050 20,122,100

Collatz Trajectory (221 steps to reach 1)

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

20,122,100 10,061,050 5,030,525 15,091,576 7,545,788 3,772,894 1,886,447 5,659,342 2,829,671 8,489,014 4,244,507 12,733,522 6,366,761 19,100,284 9,550,142 4,775,071 14,325,214 7,162,607 21,487,822 10,743,911 32,231,734 16,115,867 48,347,602 24,173,801 72,521,404 36,260,702 18,130,351 54,391,054 27,195,527 81,586,582 40,793,291 122,379,874 61,189,937 183,569,812 91,784,906 45,892,453 137,677,360 68,838,680 34,419,340 17,209,670 8,604,835 25,814,506 12,907,253 38,721,760 19,360,880 9,680,440 4,840,220 2,420,110 1,210,055 3,630,166 1,815,083 5,445,250 2,722,625 8,167,876 4,083,938 2,041,969 6,125,908 3,062,954 1,531,477 4,594,432

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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