λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,967,752
36,967,752
23 × 34 × 89 × 641
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^4 × 89 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 104,870,700
Proper Divisor Sum 67,902,948
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36967729 ← → #36967753

Radix Representation

Decimal 36967752
Binary 10001101000001010101001000 (26 bits)
Octal 0o215012510
Hexadecimal 0x2341548

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 89 108 162 178 216 267 324 356 534 641 648 712 801 1,068 1,282 1,602 1,923 2,136 2,403 2,564 3,204 3,846 4,806 5,128 5,769 6,408 7,209 7,692 9,612 11,538 14,418 15,384 17,307 19,224 23,076 28,836 34,614 46,152 51,921 57,049 57,672 69,228 103,842 114,098 138,456

Collatz Trajectory (271 steps to reach 1)

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

36,967,752 18,483,876 9,241,938 4,620,969 13,862,908 6,931,454 3,465,727 10,397,182 5,198,591 15,595,774 7,797,887 23,393,662 11,696,831 35,090,494 17,545,247 52,635,742 26,317,871 78,953,614 39,476,807 118,430,422 59,215,211 177,645,634 88,822,817 266,468,452 133,234,226 66,617,113 199,851,340 99,925,670 49,962,835 149,888,506 74,944,253 224,832,760 112,416,380 56,208,190 28,104,095 84,312,286 42,156,143 126,468,430 63,234,215 189,702,646 94,851,323 284,553,970 142,276,985 426,830,956 213,415,478 106,707,739 320,123,218 160,061,609 480,184,828 240,092,414 120,046,207 360,138,622 180,069,311 540,207,934 270,103,967 810,311,902 405,155,951 1,215,467,854 607,733,927 1,823,201,782

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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