λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,091,902
8,091,902
2 × 7 × 13 × 173 × 257
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13 × 173 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,083,712
Proper Divisor Sum 6,991,810
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8091901 ← → #8091907

Radix Representation

Decimal 8091902
Binary 11110110111100011111110 (23 bits)
Octal 0o36674376
Hexadecimal 0x7B78FE

Divisor Catalog (32)

1 2 7 13 14 26 91 173 182 257 346 514 1,211 1,799 2,249 2,422 3,341 3,598 4,498 6,682 15,743 23,387 31,486 44,461 46,774 88,922 311,227 577,993 622,454 1,155,986 4,045,951 8,091,902

Collatz Trajectory (155 steps to reach 1)

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

8,091,902 4,045,951 12,137,854 6,068,927 18,206,782 9,103,391 27,310,174 13,655,087 40,965,262 20,482,631 61,447,894 30,723,947 92,171,842 46,085,921 138,257,764 69,128,882 34,564,441 103,693,324 51,846,662 25,923,331 77,769,994 38,884,997 116,654,992 58,327,496 29,163,748 14,581,874 7,290,937 21,872,812 10,936,406 5,468,203 16,404,610 8,202,305 24,606,916 12,303,458 6,151,729 18,455,188 9,227,594 4,613,797 13,841,392 6,920,696 3,460,348 1,730,174 865,087 2,595,262 1,297,631 3,892,894 1,946,447 5,839,342 2,919,671 8,759,014 4,379,507 13,138,522 6,569,261 19,707,784 9,853,892 4,926,946 2,463,473 7,390,420 3,695,210 1,847,605

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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