λ
Ratio Atlas
Atlas › Integer Profiles › Node 25,752,640
25,752,640
26 × 5 × 23 × 3499
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 23 × 3499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 64,008,000
Proper Divisor Sum 38,255,360
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #25752613 ← → #25752641

Radix Representation

Decimal 25752640
Binary 1100010001111010001000000 (25 bits)
Octal 0o142172100
Hexadecimal 0x188F440

Divisor Catalog (56)

1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1,472 1,840 3,499 3,680 6,998 7,360 13,996 17,495 27,992 34,990 55,984 69,980 80,477 111,968 139,960 160,954 223,936 279,920 321,908 402,385 559,840 643,816 804,770 1,119,680 1,287,632 1,609,540 2,575,264 3,219,080 5,150,528 6,438,160 12,876,320 25,752,640

Collatz Trajectory (167 steps to reach 1)

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

25,752,640 12,876,320 6,438,160 3,219,080 1,609,540 804,770 402,385 1,207,156 603,578 301,789 905,368 452,684 226,342 113,171 339,514 169,757 509,272 254,636 127,318 63,659 190,978 95,489 286,468 143,234 71,617 214,852 107,426 53,713 161,140 80,570 40,285 120,856 60,428 30,214 15,107 45,322 22,661 67,984 33,992 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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