λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,554,791
8,554,791
3 × 7 × 17 × 31 × 773
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 17 × 31 × 773
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,266,368
Proper Divisor Sum 5,711,577
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8554789 ← → #8554817

Radix Representation

Decimal 8554791
Binary 100000101000100100100111 (24 bits)
Octal 0o40504447
Hexadecimal 0x828927

Divisor Catalog (32)

1 3 7 17 21 31 51 93 119 217 357 527 651 773 1,581 2,319 3,689 5,411 11,067 13,141 16,233 23,963 39,423 71,889 91,987 167,741 275,961 407,371 503,223 1,222,113 2,851,597 8,554,791

Collatz Trajectory (274 steps to reach 1)

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

8,554,791 25,664,374 12,832,187 38,496,562 19,248,281 57,744,844 28,872,422 14,436,211 43,308,634 21,654,317 64,962,952 32,481,476 16,240,738 8,120,369 24,361,108 12,180,554 6,090,277 18,270,832 9,135,416 4,567,708 2,283,854 1,141,927 3,425,782 1,712,891 5,138,674 2,569,337 7,708,012 3,854,006 1,927,003 5,781,010 2,890,505 8,671,516 4,335,758 2,167,879 6,503,638 3,251,819 9,755,458 4,877,729 14,633,188 7,316,594 3,658,297 10,974,892 5,487,446 2,743,723 8,231,170 4,115,585 12,346,756 6,173,378 3,086,689 9,260,068 4,630,034 2,315,017 6,945,052 3,472,526 1,736,263 5,208,790 2,604,395 7,813,186 3,906,593 11,719,780

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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