λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,912,252
36,912,252
22 × 3 × 13 × 151 × 1567
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 151 × 1567
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 93,427,712
Proper Divisor Sum 56,515,460
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36912251 ← → #36912257

Radix Representation

Decimal 36912252
Binary 10001100110011110001111100 (26 bits)
Octal 0o214636174
Hexadecimal 0x2333C7C

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 151 156 302 453 604 906 1,567 1,812 1,963 3,134 3,926 4,701 5,889 6,268 7,852 9,402 11,778 18,804 20,371 23,556 40,742 61,113 81,484 122,226 236,617 244,452 473,234 709,851 946,468 1,419,702 2,839,404 3,076,021 6,152,042 9,228,063 12,304,084 18,456,126 36,912,252

Collatz Trajectory (183 steps to reach 1)

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

36,912,252 18,456,126 9,228,063 27,684,190 13,842,095 41,526,286 20,763,143 62,289,430 31,144,715 93,434,146 46,717,073 140,151,220 70,075,610 35,037,805 105,113,416 52,556,708 26,278,354 13,139,177 39,417,532 19,708,766 9,854,383 29,563,150 14,781,575 44,344,726 22,172,363 66,517,090 33,258,545 99,775,636 49,887,818 24,943,909 74,831,728 37,415,864 18,707,932 9,353,966 4,676,983 14,030,950 7,015,475 21,046,426 10,523,213 31,569,640 15,784,820 7,892,410 3,946,205 11,838,616 5,919,308 2,959,654 1,479,827 4,439,482 2,219,741 6,659,224 3,329,612 1,664,806 832,403 2,497,210 1,248,605 3,745,816 1,872,908 936,454 468,227 1,404,682

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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