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Ratio Atlas
Atlas › Integer Profiles › Node 10,436,769
10,436,769
34 × 7 × 79 × 233
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 7 × 79 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,120,960
Proper Divisor Sum 7,684,191
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #10436753 ← → #10436771

Radix Representation

Decimal 10436769
Binary 100111110100000010100001 (24 bits)
Octal 0o47640241
Hexadecimal 0x9F40A1

Divisor Catalog (40)

1 3 7 9 21 27 63 79 81 189 233 237 553 567 699 711 1,631 1,659 2,097 2,133 4,893 4,977 6,291 6,399 14,679 14,931 18,407 18,873 44,037 44,793 55,221 128,849 132,111 165,663 386,547 496,989 1,159,641 1,490,967 3,478,923 10,436,769

Collatz Trajectory (158 steps to reach 1)

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

10,436,769 31,310,308 15,655,154 7,827,577 23,482,732 11,741,366 5,870,683 17,612,050 8,806,025 26,418,076 13,209,038 6,604,519 19,813,558 9,906,779 29,720,338 14,860,169 44,580,508 22,290,254 11,145,127 33,435,382 16,717,691 50,153,074 25,076,537 75,229,612 37,614,806 18,807,403 56,422,210 28,211,105 84,633,316 42,316,658 21,158,329 63,474,988 31,737,494 15,868,747 47,606,242 23,803,121 71,409,364 35,704,682 17,852,341 53,557,024 26,778,512 13,389,256 6,694,628 3,347,314 1,673,657 5,020,972 2,510,486 1,255,243 3,765,730 1,882,865 5,648,596 2,824,298 1,412,149 4,236,448 2,118,224 1,059,112 529,556 264,778 132,389 397,168

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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