λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,993,370
21,993,370
2 × 5 × 7 × 379 × 829
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 379 × 829
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 45,417,600
Proper Divisor Sum 23,424,230
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #21993347 ← → #21993401

Radix Representation

Decimal 21993370
Binary 1010011111001011110011010 (25 bits)
Octal 0o123713632
Hexadecimal 0x14F979A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 379 758 829 1,658 1,895 2,653 3,790 4,145 5,306 5,803 8,290 11,606 13,265 26,530 29,015 58,030 314,191 628,382 1,570,955 2,199,337 3,141,910 4,398,674 10,996,685 21,993,370

Collatz Trajectory (309 steps to reach 1)

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

21,993,370 10,996,685 32,990,056 16,495,028 8,247,514 4,123,757 12,371,272 6,185,636 3,092,818 1,546,409 4,639,228 2,319,614 1,159,807 3,479,422 1,739,711 5,219,134 2,609,567 7,828,702 3,914,351 11,743,054 5,871,527 17,614,582 8,807,291 26,421,874 13,210,937 39,632,812 19,816,406 9,908,203 29,724,610 14,862,305 44,586,916 22,293,458 11,146,729 33,440,188 16,720,094 8,360,047 25,080,142 12,540,071 37,620,214 18,810,107 56,430,322 28,215,161 84,645,484 42,322,742 21,161,371 63,484,114 31,742,057 95,226,172 47,613,086 23,806,543 71,419,630 35,709,815 107,129,446 53,564,723 160,694,170 80,347,085 241,041,256 120,520,628 60,260,314 30,130,157

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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