λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,207,932
3,207,932
22 × 72 × 13 × 1259
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 13 × 1259
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,038,360
Proper Divisor Sum 3,830,428
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3207923 ← → #3207943

Radix Representation

Decimal 3207932
Binary 1100001111001011111100 (22 bits)
Octal 0o14171374
Hexadecimal 0x30F2FC

Divisor Catalog (36)

1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1,259 1,274 2,518 2,548 5,036 8,813 16,367 17,626 32,734 35,252 61,691 65,468 114,569 123,382 229,138 246,764 458,276 801,983 1,603,966 3,207,932

Collatz Trajectory (146 steps to reach 1)

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

3,207,932 1,603,966 801,983 2,405,950 1,202,975 3,608,926 1,804,463 5,413,390 2,706,695 8,120,086 4,060,043 12,180,130 6,090,065 18,270,196 9,135,098 4,567,549 13,702,648 6,851,324 3,425,662 1,712,831 5,138,494 2,569,247 7,707,742 3,853,871 11,561,614 5,780,807 17,342,422 8,671,211 26,013,634 13,006,817 39,020,452 19,510,226 9,755,113 29,265,340 14,632,670 7,316,335 21,949,006 10,974,503 32,923,510 16,461,755 49,385,266 24,692,633 74,077,900 37,038,950 18,519,475 55,558,426 27,779,213 83,337,640 41,668,820 20,834,410 10,417,205 31,251,616 15,625,808 7,812,904 3,906,452 1,953,226 976,613 2,929,840 1,464,920 732,460

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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