λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,959,635
2,959,635
3 × 5 × 7 × 71 × 397
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 71 × 397
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,501,952
Proper Divisor Sum 2,542,317
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2959633 ← → #2959643

Radix Representation

Decimal 2959635
Binary 1011010010100100010011 (22 bits)
Octal 0o13224423
Hexadecimal 0x2D2913

Divisor Catalog (32)

1 3 5 7 15 21 35 71 105 213 355 397 497 1,065 1,191 1,491 1,985 2,485 2,779 5,955 7,455 8,337 13,895 28,187 41,685 84,561 140,935 197,309 422,805 591,927 986,545 2,959,635

Collatz Trajectory (169 steps to reach 1)

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

2,959,635 8,878,906 4,439,453 13,318,360 6,659,180 3,329,590 1,664,795 4,994,386 2,497,193 7,491,580 3,745,790 1,872,895 5,618,686 2,809,343 8,428,030 4,214,015 12,642,046 6,321,023 18,963,070 9,481,535 28,444,606 14,222,303 42,666,910 21,333,455 64,000,366 32,000,183 96,000,550 48,000,275 144,000,826 72,000,413 216,001,240 108,000,620 54,000,310 27,000,155 81,000,466 40,500,233 121,500,700 60,750,350 30,375,175 91,125,526 45,562,763 136,688,290 68,344,145 205,032,436 102,516,218 51,258,109 153,774,328 76,887,164 38,443,582 19,221,791 57,665,374 28,832,687 86,498,062 43,249,031 129,747,094 64,873,547 194,620,642 97,310,321 291,930,964 145,965,482

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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