λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,376,959
12,376,959
3 × 72 × 269 × 313
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 269 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,329,840
Proper Divisor Sum 6,952,881
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #12376951 ← → #12376993

Radix Representation

Decimal 12376959
Binary 101111001101101101111111 (24 bits)
Octal 0o57155577
Hexadecimal 0xBCDB7F

Divisor Catalog (24)

1 3 7 21 49 147 269 313 807 939 1,883 2,191 5,649 6,573 13,181 15,337 39,543 46,011 84,197 252,591 589,379 1,768,137 4,125,653 12,376,959

Collatz Trajectory (228 steps to reach 1)

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

12,376,959 37,130,878 18,565,439 55,696,318 27,848,159 83,544,478 41,772,239 125,316,718 62,658,359 187,975,078 93,987,539 281,962,618 140,981,309 422,943,928 211,471,964 105,735,982 52,867,991 158,603,974 79,301,987 237,905,962 118,952,981 356,858,944 178,429,472 89,214,736 44,607,368 22,303,684 11,151,842 5,575,921 16,727,764 8,363,882 4,181,941 12,545,824 6,272,912 3,136,456 1,568,228 784,114 392,057 1,176,172 588,086 294,043 882,130 441,065 1,323,196 661,598 330,799 992,398 496,199 1,488,598 744,299 2,232,898 1,116,449 3,349,348 1,674,674 837,337 2,512,012 1,256,006 628,003 1,884,010 942,005 2,826,016

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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