λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,212,964
3,212,964
22 × 32 × 31 × 2879
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 31 × 2879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,386,560
Proper Divisor Sum 5,173,596
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3212959 ← → #3212971

Radix Representation

Decimal 3212964
Binary 1100010000011010100100 (22 bits)
Octal 0o14203244
Hexadecimal 0x3106A4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1,116 2,879 5,758 8,637 11,516 17,274 25,911 34,548 51,822 89,249 103,644 178,498 267,747 356,996 535,494 803,241 1,070,988 1,606,482 3,212,964

Collatz Trajectory (208 steps to reach 1)

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

3,212,964 1,606,482 803,241 2,409,724 1,204,862 602,431 1,807,294 903,647 2,710,942 1,355,471 4,066,414 2,033,207 6,099,622 3,049,811 9,149,434 4,574,717 13,724,152 6,862,076 3,431,038 1,715,519 5,146,558 2,573,279 7,719,838 3,859,919 11,579,758 5,789,879 17,369,638 8,684,819 26,054,458 13,027,229 39,081,688 19,540,844 9,770,422 4,885,211 14,655,634 7,327,817 21,983,452 10,991,726 5,495,863 16,487,590 8,243,795 24,731,386 12,365,693 37,097,080 18,548,540 9,274,270 4,637,135 13,911,406 6,955,703 20,867,110 10,433,555 31,300,666 15,650,333 46,951,000 23,475,500 11,737,750 5,868,875 17,606,626 8,803,313 26,409,940

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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