λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,968,960
36,968,960
29 × 5 × 7 × 2063
Abundant Even Composite

Prime Factor Structure

Factorization String 2^9 × 5 × 7 × 2063
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 101,350,656
Proper Divisor Sum 64,381,696
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #36968959 ← → #36968977

Radix Representation

Decimal 36968960
Binary 10001101000001101000000000 (26 bits)
Octal 0o215015000
Hexadecimal 0x2341A00

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1,120 1,280 1,792 2,063 2,240 2,560 3,584 4,126 4,480 8,252 8,960 10,315 14,441 16,504 17,920 20,630 28,882 33,008 41,260 57,764 66,016 72,205 82,520 115,528 132,032 144,410 165,040 231,056 264,064

Collatz Trajectory (59 steps to reach 1)

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

36,968,960 18,484,480 9,242,240 4,621,120 2,310,560 1,155,280 577,640 288,820 144,410 72,205 216,616 108,308 54,154 27,077 81,232 40,616 20,308 10,154 5,077 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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