λ
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Atlas › Integer Profiles › Node 3,212,902

3,212,902

2 × 7 × 11 × 31 × 673
Deficient Even Composite

3,212,902 factors as 2 × 7 × 11 × 31 × 673. Its 32 positive divisors give a proper-divisor sum of 2,998,682, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 31 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,211,584
Proper Divisor Sum 2,998,682
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3212863 ← → #3212927

Radix Representation

Decimal 3212902
Binary 1100010000011001100110 (22 bits)
Octal 0o14203146
Hexadecimal 0x310666

Divisor Catalog (32)

1 2 7 11 14 22 31 62 77 154 217 341 434 673 682 1,346 2,387 4,711 4,774 7,403 9,422 14,806 20,863 41,726 51,821 103,642 146,041 229,493 292,082 458,986 1,606,451 3,212,902

Collatz Trajectory (146 steps to reach 1)

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

3,212,902 1,606,451 4,819,354 2,409,677 7,229,032 3,614,516 1,807,258 903,629 2,710,888 1,355,444 677,722 338,861 1,016,584 508,292 254,146 127,073 381,220 190,610 95,305 285,916 142,958 71,479 214,438 107,219 321,658 160,829 482,488 241,244 120,622 60,311 180,934 90,467 271,402 135,701 407,104 203,552 101,776 50,888 25,444 12,722 6,361 19,084 9,542 4,771 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401

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