λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,522,748
8,522,748
22 × 32 × 13 × 18211
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 18211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 23,202,088
Proper Divisor Sum 14,679,340
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8522743 ← → #8522749

Radix Representation

Decimal 8522748
Binary 100000100000101111111100 (24 bits)
Octal 0o40405774
Hexadecimal 0x820BFC

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 18,211 36,422 54,633 72,844 109,266 163,899 218,532 236,743 327,798 473,486 655,596 710,229 946,972 1,420,458 2,130,687 2,840,916 4,261,374 8,522,748

Collatz Trajectory (98 steps to reach 1)

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

8,522,748 4,261,374 2,130,687 6,392,062 3,196,031 9,588,094 4,794,047 14,382,142 7,191,071 21,573,214 10,786,607 32,359,822 16,179,911 48,539,734 24,269,867 72,809,602 36,404,801 109,214,404 54,607,202 27,303,601 81,910,804 40,955,402 20,477,701 61,433,104 30,716,552 15,358,276 7,679,138 3,839,569 11,518,708 5,759,354 2,879,677 8,639,032 4,319,516 2,159,758 1,079,879 3,239,638 1,619,819 4,859,458 2,429,729 7,289,188 3,644,594 1,822,297 5,466,892 2,733,446 1,366,723 4,100,170 2,050,085 6,150,256 3,075,128 1,537,564 768,782 384,391 1,153,174 576,587 1,729,762 864,881 2,594,644 1,297,322 648,661 1,945,984

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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