λ
Prime Ledger

1,612,418

2 × 257 × 3137
Deficient Even Composite

1,612,418 has the prime decomposition 2 × 257 × 3137. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 257 × 3137
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,428,812
Proper Divisor Sum 816,394
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1612393 ← → #1612427

Radix Representation

Decimal 1612418
Binary 110001001101010000010 (21 bits)
Octal 0o6115202
Hexadecimal 0x189A82

Divisor Catalog (8)

1 2 257 514 3,137 6,274 806,209 1,612,418

Collatz Trajectory (163 steps to reach 1)

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

1,612,418 806,209 2,418,628 1,209,314 604,657 1,813,972 906,986 453,493 1,360,480 680,240 340,120 170,060 85,030 42,515 127,546 63,773 191,320 95,660 47,830 23,915 71,746 35,873 107,620 53,810 26,905 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286

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