λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,302,012
3,302,012
22 × 72 × 17 × 991
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 17 × 991
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,124,544
Proper Divisor Sum 3,822,532
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #3302011 ← → #3302069

Radix Representation

Decimal 3302012
Binary 1100100110001001111100 (22 bits)
Octal 0o14461174
Hexadecimal 0x32627C

Divisor Catalog (36)

1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 991 1,666 1,982 3,332 3,964 6,937 13,874 16,847 27,748 33,694 48,559 67,388 97,118 117,929 194,236 235,858 471,716 825,503 1,651,006 3,302,012

Collatz Trajectory (164 steps to reach 1)

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

3,302,012 1,651,006 825,503 2,476,510 1,238,255 3,714,766 1,857,383 5,572,150 2,786,075 8,358,226 4,179,113 12,537,340 6,268,670 3,134,335 9,403,006 4,701,503 14,104,510 7,052,255 21,156,766 10,578,383 31,735,150 15,867,575 47,602,726 23,801,363 71,404,090 35,702,045 107,106,136 53,553,068 26,776,534 13,388,267 40,164,802 20,082,401 60,247,204 30,123,602 15,061,801 45,185,404 22,592,702 11,296,351 33,889,054 16,944,527 50,833,582 25,416,791 76,250,374 38,125,187 114,375,562 57,187,781 171,563,344 85,781,672 42,890,836 21,445,418 10,722,709 32,168,128 16,084,064 8,042,032 4,021,016 2,010,508 1,005,254 502,627 1,507,882 753,941

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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