λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,976,266
36,976,266
2 × 32 × 79 × 26003
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 79 × 26003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 81,132,480
Proper Divisor Sum 44,156,214
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36976253 ← → #36976267

Radix Representation

Decimal 36976266
Binary 10001101000011011010001010 (26 bits)
Octal 0o215033212
Hexadecimal 0x234368A

Divisor Catalog (24)

1 2 3 6 9 18 79 158 237 474 711 1,422 26,003 52,006 78,009 156,018 234,027 468,054 2,054,237 4,108,474 6,162,711 12,325,422 18,488,133 36,976,266

Collatz Trajectory (188 steps to reach 1)

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

36,976,266 18,488,133 55,464,400 27,732,200 13,866,100 6,933,050 3,466,525 10,399,576 5,199,788 2,599,894 1,299,947 3,899,842 1,949,921 5,849,764 2,924,882 1,462,441 4,387,324 2,193,662 1,096,831 3,290,494 1,645,247 4,935,742 2,467,871 7,403,614 3,701,807 11,105,422 5,552,711 16,658,134 8,329,067 24,987,202 12,493,601 37,480,804 18,740,402 9,370,201 28,110,604 14,055,302 7,027,651 21,082,954 10,541,477 31,624,432 15,812,216 7,906,108 3,953,054 1,976,527 5,929,582 2,964,791 8,894,374 4,447,187 13,341,562 6,670,781 20,012,344 10,006,172 5,003,086 2,501,543 7,504,630 3,752,315 11,256,946 5,628,473 16,885,420 8,442,710

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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