λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,942,664
12,942,664
23 × 72 × 137 × 241
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7^2 × 137 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,553,580
Proper Divisor Sum 15,610,916
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #12942659 ← → #12942673

Radix Representation

Decimal 12942664
Binary 110001010111110101001000 (24 bits)
Octal 0o61276510
Hexadecimal 0xC57D48

Divisor Catalog (48)

1 2 4 7 8 14 28 49 56 98 137 196 241 274 392 482 548 959 964 1,096 1,687 1,918 1,928 3,374 3,836 6,713 6,748 7,672 11,809 13,426 13,496 23,618 26,852 33,017 47,236 53,704 66,034 94,472 132,068 231,119 264,136 462,238 924,476 1,617,833 1,848,952 3,235,666 6,471,332 12,942,664

Collatz Trajectory (254 steps to reach 1)

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

12,942,664 6,471,332 3,235,666 1,617,833 4,853,500 2,426,750 1,213,375 3,640,126 1,820,063 5,460,190 2,730,095 8,190,286 4,095,143 12,285,430 6,142,715 18,428,146 9,214,073 27,642,220 13,821,110 6,910,555 20,731,666 10,365,833 31,097,500 15,548,750 7,774,375 23,323,126 11,661,563 34,984,690 17,492,345 52,477,036 26,238,518 13,119,259 39,357,778 19,678,889 59,036,668 29,518,334 14,759,167 44,277,502 22,138,751 66,416,254 33,208,127 99,624,382 49,812,191 149,436,574 74,718,287 224,154,862 112,077,431 336,232,294 168,116,147 504,348,442 252,174,221 756,522,664 378,261,332 189,130,666 94,565,333 283,696,000 141,848,000 70,924,000 35,462,000 17,731,000

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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