λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,925,280
36,925,280
25 × 5 × 7 × 32969
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 32969
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,701,280
Proper Divisor Sum 62,776,000
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #36925279 ← → #36925307

Radix Representation

Decimal 36925280
Binary 10001100110110111101100000 (26 bits)
Octal 0o214667540
Hexadecimal 0x2336F60

Divisor Catalog (48)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1,120 32,969 65,938 131,876 164,845 230,783 263,752 329,690 461,566 527,504 659,380 923,132 1,055,008 1,153,915 1,318,760 1,846,264 2,307,830 2,637,520 3,692,528 4,615,660 5,275,040 7,385,056 9,231,320 18,462,640 36,925,280

Collatz Trajectory (103 steps to reach 1)

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

36,925,280 18,462,640 9,231,320 4,615,660 2,307,830 1,153,915 3,461,746 1,730,873 5,192,620 2,596,310 1,298,155 3,894,466 1,947,233 5,841,700 2,920,850 1,460,425 4,381,276 2,190,638 1,095,319 3,285,958 1,642,979 4,928,938 2,464,469 7,393,408 3,696,704 1,848,352 924,176 462,088 231,044 115,522 57,761 173,284 86,642 43,321 129,964 64,982 32,491 97,474 48,737 146,212 73,106 36,553 109,660 54,830 27,415 82,246 41,123 123,370 61,685 185,056 92,528 46,264 23,132 11,566 5,783 17,350 8,675 26,026 13,013 39,040

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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