λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,772,867
8,772,867
34 × 17 × 23 × 277
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 17 × 23 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,531,616
Proper Divisor Sum 5,758,749
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8772859 ← → #8772917

Radix Representation

Decimal 8772867
Binary 100001011101110100000011 (24 bits)
Octal 0o41356403
Hexadecimal 0x85DD03

Divisor Catalog (40)

1 3 9 17 23 27 51 69 81 153 207 277 391 459 621 831 1,173 1,377 1,863 2,493 3,519 4,709 6,371 7,479 10,557 14,127 19,113 22,437 31,671 42,381 57,339 108,307 127,143 172,017 324,921 381,429 516,051 974,763 2,924,289 8,772,867

Collatz Trajectory (173 steps to reach 1)

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

8,772,867 26,318,602 13,159,301 39,477,904 19,738,952 9,869,476 4,934,738 2,467,369 7,402,108 3,701,054 1,850,527 5,551,582 2,775,791 8,327,374 4,163,687 12,491,062 6,245,531 18,736,594 9,368,297 28,104,892 14,052,446 7,026,223 21,078,670 10,539,335 31,618,006 15,809,003 47,427,010 23,713,505 71,140,516 35,570,258 17,785,129 53,355,388 26,677,694 13,338,847 40,016,542 20,008,271 60,024,814 30,012,407 90,037,222 45,018,611 135,055,834 67,527,917 202,583,752 101,291,876 50,645,938 25,322,969 75,968,908 37,984,454 18,992,227 56,976,682 28,488,341 85,465,024 42,732,512 21,366,256 10,683,128 5,341,564 2,670,782 1,335,391 4,006,174 2,003,087

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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