λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,947,502
36,947,502
2 × 34 × 131 × 1741
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 131 × 1741
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 83,469,672
Proper Divisor Sum 46,522,170
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36947461 ← → #36947503

Radix Representation

Decimal 36947502
Binary 10001100111100011000101110 (26 bits)
Octal 0o214743056
Hexadecimal 0x233C62E

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 131 162 262 393 786 1,179 1,741 2,358 3,482 3,537 5,223 7,074 10,446 10,611 15,669 21,222 31,338 47,007 94,014 141,021 228,071 282,042 456,142 684,213 1,368,426 2,052,639 4,105,278 6,157,917 12,315,834 18,473,751 36,947,502

Collatz Trajectory (214 steps to reach 1)

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

36,947,502 18,473,751 55,421,254 27,710,627 83,131,882 41,565,941 124,697,824 62,348,912 31,174,456 15,587,228 7,793,614 3,896,807 11,690,422 5,845,211 17,535,634 8,767,817 26,303,452 13,151,726 6,575,863 19,727,590 9,863,795 29,591,386 14,795,693 44,387,080 22,193,540 11,096,770 5,548,385 16,645,156 8,322,578 4,161,289 12,483,868 6,241,934 3,120,967 9,362,902 4,681,451 14,044,354 7,022,177 21,066,532 10,533,266 5,266,633 15,799,900 7,899,950 3,949,975 11,849,926 5,924,963 17,774,890 8,887,445 26,662,336 13,331,168 6,665,584 3,332,792 1,666,396 833,198 416,599 1,249,798 624,899 1,874,698 937,349 2,812,048 1,406,024

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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