λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,968,607
36,968,607
32 × 13 × 107 × 2953
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 13 × 107 × 2953
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 58,063,824
Proper Divisor Sum 21,095,217
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36968599 ← → #36968609

Radix Representation

Decimal 36968607
Binary 10001101000001100010011111 (26 bits)
Octal 0o215014237
Hexadecimal 0x234189F

Divisor Catalog (24)

1 3 9 13 39 107 117 321 963 1,391 2,953 4,173 8,859 12,519 26,577 38,389 115,167 315,971 345,501 947,913 2,843,739 4,107,623 12,322,869 36,968,607

Collatz Trajectory (214 steps to reach 1)

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

36,968,607 110,905,822 55,452,911 166,358,734 83,179,367 249,538,102 124,769,051 374,307,154 187,153,577 561,460,732 280,730,366 140,365,183 421,095,550 210,547,775 631,643,326 315,821,663 947,464,990 473,732,495 1,421,197,486 710,598,743 2,131,796,230 1,065,898,115 3,197,694,346 1,598,847,173 4,796,541,520 2,398,270,760 1,199,135,380 599,567,690 299,783,845 899,351,536 449,675,768 224,837,884 112,418,942 56,209,471 168,628,414 84,314,207 252,942,622 126,471,311 379,413,934 189,706,967 569,120,902 284,560,451 853,681,354 426,840,677 1,280,522,032 640,261,016 320,130,508 160,065,254 80,032,627 240,097,882 120,048,941 360,146,824 180,073,412 90,036,706 45,018,353 135,055,060 67,527,530 33,763,765 101,291,296 50,645,648

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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