λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,100,737
12,100,737
3 × 11 × 23 × 107 × 149
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 23 × 107 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,662,400
Proper Divisor Sum 6,561,663
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #12100729 ← → #12100741

Radix Representation

Decimal 12100737
Binary 101110001010010010000001 (24 bits)
Octal 0o56122201
Hexadecimal 0xB8A481

Divisor Catalog (32)

1 3 11 23 33 69 107 149 253 321 447 759 1,177 1,639 2,461 3,427 3,531 4,917 7,383 10,281 15,943 27,071 37,697 47,829 81,213 113,091 175,373 366,689 526,119 1,100,067 4,033,579 12,100,737

Collatz Trajectory (321 steps to reach 1)

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

12,100,737 36,302,212 18,151,106 9,075,553 27,226,660 13,613,330 6,806,665 20,419,996 10,209,998 5,104,999 15,314,998 7,657,499 22,972,498 11,486,249 34,458,748 17,229,374 8,614,687 25,844,062 12,922,031 38,766,094 19,383,047 58,149,142 29,074,571 87,223,714 43,611,857 130,835,572 65,417,786 32,708,893 98,126,680 49,063,340 24,531,670 12,265,835 36,797,506 18,398,753 55,196,260 27,598,130 13,799,065 41,397,196 20,698,598 10,349,299 31,047,898 15,523,949 46,571,848 23,285,924 11,642,962 5,821,481 17,464,444 8,732,222 4,366,111 13,098,334 6,549,167 19,647,502 9,823,751 29,471,254 14,735,627 44,206,882 22,103,441 66,310,324 33,155,162 16,577,581

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #8,365,252 Feeder #1,448,561 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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