λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,372,075
12,372,075
33 × 52 × 18329
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5^2 × 18329
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,729,200
Proper Divisor Sum 10,357,125
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12372047 ← → #12372077

Radix Representation

Decimal 12372075
Binary 101111001100100001101011 (24 bits)
Octal 0o57144153
Hexadecimal 0xBCC86B

Divisor Catalog (24)

1 3 5 9 15 25 27 45 75 135 225 675 18,329 54,987 91,645 164,961 274,935 458,225 494,883 824,805 1,374,675 2,474,415 4,124,025 12,372,075

Collatz Trajectory (365 steps to reach 1)

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

12,372,075 37,116,226 18,558,113 55,674,340 27,837,170 13,918,585 41,755,756 20,877,878 10,438,939 31,316,818 15,658,409 46,975,228 23,487,614 11,743,807 35,231,422 17,615,711 52,847,134 26,423,567 79,270,702 39,635,351 118,906,054 59,453,027 178,359,082 89,179,541 267,538,624 133,769,312 66,884,656 33,442,328 16,721,164 8,360,582 4,180,291 12,540,874 6,270,437 18,811,312 9,405,656 4,702,828 2,351,414 1,175,707 3,527,122 1,763,561 5,290,684 2,645,342 1,322,671 3,968,014 1,984,007 5,952,022 2,976,011 8,928,034 4,464,017 13,392,052 6,696,026 3,348,013 10,044,040 5,022,020 2,511,010 1,255,505 3,766,516 1,883,258 941,629 2,824,888

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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