λ
Ratio Atlas
Atlas › Integer Profiles › Node 25,580,010
25,580,010
2 × 3 × 5 × 157 × 5431
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 157 × 5431
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 61,794,432
Proper Divisor Sum 36,214,422
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #25579999 ← → #25580021

Radix Representation

Decimal 25580010
Binary 1100001100101000111101010 (25 bits)
Octal 0o141450752
Hexadecimal 0x18651EA

Divisor Catalog (32)

1 2 3 5 6 10 15 30 157 314 471 785 942 1,570 2,355 4,710 5,431 10,862 16,293 27,155 32,586 54,310 81,465 162,930 852,667 1,705,334 2,558,001 4,263,335 5,116,002 8,526,670 12,790,005 25,580,010

Collatz Trajectory (242 steps to reach 1)

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

25,580,010 12,790,005 38,370,016 19,185,008 9,592,504 4,796,252 2,398,126 1,199,063 3,597,190 1,798,595 5,395,786 2,697,893 8,093,680 4,046,840 2,023,420 1,011,710 505,855 1,517,566 758,783 2,276,350 1,138,175 3,414,526 1,707,263 5,121,790 2,560,895 7,682,686 3,841,343 11,524,030 5,762,015 17,286,046 8,643,023 25,929,070 12,964,535 38,893,606 19,446,803 58,340,410 29,170,205 87,510,616 43,755,308 21,877,654 10,938,827 32,816,482 16,408,241 49,224,724 24,612,362 12,306,181 36,918,544 18,459,272 9,229,636 4,614,818 2,307,409 6,922,228 3,461,114 1,730,557 5,191,672 2,595,836 1,297,918 648,959 1,946,878 973,439

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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