λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,915,828
36,915,828
22 × 3 × 23 × 59 × 2267
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 59 × 2267
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,445,760
Proper Divisor Sum 54,529,932
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36915817 ← → #36915833

Radix Representation

Decimal 36915828
Binary 10001100110100101001110100 (26 bits)
Octal 0o214645164
Hexadecimal 0x2334A74

Divisor Catalog (48)

1 2 3 4 6 12 23 46 59 69 92 118 138 177 236 276 354 708 1,357 2,267 2,714 4,071 4,534 5,428 6,801 8,142 9,068 13,602 16,284 27,204 52,141 104,282 133,753 156,423 208,564 267,506 312,846 401,259 535,012 625,692 802,518 1,605,036 3,076,319 6,152,638 9,228,957 12,305,276 18,457,914 36,915,828

Collatz Trajectory (214 steps to reach 1)

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

36,915,828 18,457,914 9,228,957 27,686,872 13,843,436 6,921,718 3,460,859 10,382,578 5,191,289 15,573,868 7,786,934 3,893,467 11,680,402 5,840,201 17,520,604 8,760,302 4,380,151 13,140,454 6,570,227 19,710,682 9,855,341 29,566,024 14,783,012 7,391,506 3,695,753 11,087,260 5,543,630 2,771,815 8,315,446 4,157,723 12,473,170 6,236,585 18,709,756 9,354,878 4,677,439 14,032,318 7,016,159 21,048,478 10,524,239 31,572,718 15,786,359 47,359,078 23,679,539 71,038,618 35,519,309 106,557,928 53,278,964 26,639,482 13,319,741 39,959,224 19,979,612 9,989,806 4,994,903 14,984,710 7,492,355 22,477,066 11,238,533 33,715,600 16,857,800 8,428,900

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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