λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,371,576
12,371,576
23 × 7 × 173 × 1277
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 173 × 1277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,684,640
Proper Divisor Sum 14,313,064
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #12371561 ← → #12371629

Radix Representation

Decimal 12371576
Binary 101111001100011001111000 (24 bits)
Octal 0o57143170
Hexadecimal 0xBCC678

Divisor Catalog (32)

1 2 4 7 8 14 28 56 173 346 692 1,211 1,277 1,384 2,422 2,554 4,844 5,108 8,939 9,688 10,216 17,878 35,756 71,512 220,921 441,842 883,684 1,546,447 1,767,368 3,092,894 6,185,788 12,371,576

Collatz Trajectory (228 steps to reach 1)

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

12,371,576 6,185,788 3,092,894 1,546,447 4,639,342 2,319,671 6,959,014 3,479,507 10,438,522 5,219,261 15,657,784 7,828,892 3,914,446 1,957,223 5,871,670 2,935,835 8,807,506 4,403,753 13,211,260 6,605,630 3,302,815 9,908,446 4,954,223 14,862,670 7,431,335 22,294,006 11,147,003 33,441,010 16,720,505 50,161,516 25,080,758 12,540,379 37,621,138 18,810,569 56,431,708 28,215,854 14,107,927 42,323,782 21,161,891 63,485,674 31,742,837 95,228,512 47,614,256 23,807,128 11,903,564 5,951,782 2,975,891 8,927,674 4,463,837 13,391,512 6,695,756 3,347,878 1,673,939 5,021,818 2,510,909 7,532,728 3,766,364 1,883,182 941,591 2,824,774

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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