λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,569,705
4,569,705
32 × 5 × 7 × 89 × 163
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 89 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,210,240
Proper Divisor Sum 4,640,535
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4569703 ← → #4569743

Radix Representation

Decimal 4569705
Binary 10001011011101001101001 (23 bits)
Octal 0o21335151
Hexadecimal 0x45BA69

Divisor Catalog (48)

1 3 5 7 9 15 21 35 45 63 89 105 163 267 315 445 489 623 801 815 1,141 1,335 1,467 1,869 2,445 3,115 3,423 4,005 5,607 5,705 7,335 9,345 10,269 14,507 17,115 28,035 43,521 51,345 72,535 101,549 130,563 217,605 304,647 507,745 652,815 913,941 1,523,235 4,569,705

Collatz Trajectory (392 steps to reach 1)

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

4,569,705 13,709,116 6,854,558 3,427,279 10,281,838 5,140,919 15,422,758 7,711,379 23,134,138 11,567,069 34,701,208 17,350,604 8,675,302 4,337,651 13,012,954 6,506,477 19,519,432 9,759,716 4,879,858 2,439,929 7,319,788 3,659,894 1,829,947 5,489,842 2,744,921 8,234,764 4,117,382 2,058,691 6,176,074 3,088,037 9,264,112 4,632,056 2,316,028 1,158,014 579,007 1,737,022 868,511 2,605,534 1,302,767 3,908,302 1,954,151 5,862,454 2,931,227 8,793,682 4,396,841 13,190,524 6,595,262 3,297,631 9,892,894 4,946,447 14,839,342 7,419,671 22,259,014 11,129,507 33,388,522 16,694,261 50,082,784 25,041,392 12,520,696 6,260,348

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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