λ
Ratio Atlas
Atlas › Integer Profiles › Node 83,089,088
83,089,088
26 × 241 × 5387
Deficient Even Composite

Prime Factor Structure

Factorization String 2^6 × 241 × 5387
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 165,594,792
Proper Divisor Sum 82,505,704
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #83089079 ← → #83089117

Radix Representation

Decimal 83089088
Binary 100111100111101011011000000 (27 bits)
Octal 0o474753300
Hexadecimal 0x4F3D6C0

Divisor Catalog (28)

1 2 4 8 16 32 64 241 482 964 1,928 3,856 5,387 7,712 10,774 15,424 21,548 43,096 86,192 172,384 344,768 1,298,267 2,596,534 5,193,068 10,386,136 20,772,272 41,544,544 83,089,088

Collatz Trajectory (161 steps to reach 1)

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

83,089,088 41,544,544 20,772,272 10,386,136 5,193,068 2,596,534 1,298,267 3,894,802 1,947,401 5,842,204 2,921,102 1,460,551 4,381,654 2,190,827 6,572,482 3,286,241 9,858,724 4,929,362 2,464,681 7,394,044 3,697,022 1,848,511 5,545,534 2,772,767 8,318,302 4,159,151 12,477,454 6,238,727 18,716,182 9,358,091 28,074,274 14,037,137 42,111,412 21,055,706 10,527,853 31,583,560 15,791,780 7,895,890 3,947,945 11,843,836 5,921,918 2,960,959 8,882,878 4,441,439 13,324,318 6,662,159 19,986,478 9,993,239 29,979,718 14,989,859 44,969,578 22,484,789 67,454,368 33,727,184 16,863,592 8,431,796 4,215,898 2,107,949 6,323,848 3,161,924

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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