λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,976,268
36,976,268
22 × 7 × 541 × 2441
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 541 × 2441
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 74,119,584
Proper Divisor Sum 37,143,316
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #36976267 ← → #36976271

Radix Representation

Decimal 36976268
Binary 10001101000011011010001100 (26 bits)
Octal 0o215033214
Hexadecimal 0x234368C

Divisor Catalog (24)

1 2 4 7 14 28 541 1,082 2,164 2,441 3,787 4,882 7,574 9,764 15,148 17,087 34,174 68,348 1,320,581 2,641,162 5,282,324 9,244,067 18,488,134 36,976,268

Collatz Trajectory (188 steps to reach 1)

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

36,976,268 18,488,134 9,244,067 27,732,202 13,866,101 41,598,304 20,799,152 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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