λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,106,980
15,106,980
22 × 3 × 5 × 7 × 35969
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 35969
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 48,343,680
Proper Divisor Sum 33,236,700
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #15106969 ← → #15106991

Radix Representation

Decimal 15106980
Binary 111001101000001110100100 (24 bits)
Octal 0o71501644
Hexadecimal 0xE683A4

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 35,969 71,938 107,907 143,876 179,845 215,814 251,783 359,690 431,628 503,566 539,535 719,380 755,349 1,007,132 1,079,070 1,258,915 1,510,698 2,158,140 2,517,830 3,021,396 3,776,745 5,035,660 7,553,490 15,106,980

Collatz Trajectory (205 steps to reach 1)

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

15,106,980 7,553,490 3,776,745 11,330,236 5,665,118 2,832,559 8,497,678 4,248,839 12,746,518 6,373,259 19,119,778 9,559,889 28,679,668 14,339,834 7,169,917 21,509,752 10,754,876 5,377,438 2,688,719 8,066,158 4,033,079 12,099,238 6,049,619 18,148,858 9,074,429 27,223,288 13,611,644 6,805,822 3,402,911 10,208,734 5,104,367 15,313,102 7,656,551 22,969,654 11,484,827 34,454,482 17,227,241 51,681,724 25,840,862 12,920,431 38,761,294 19,380,647 58,141,942 29,070,971 87,212,914 43,606,457 130,819,372 65,409,686 32,704,843 98,114,530 49,057,265 147,171,796 73,585,898 36,792,949 110,378,848 55,189,424 27,594,712 13,797,356 6,898,678 3,449,339

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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