λ
Sequence Observatory

1,580,314

2 × 613 × 1289
Deficient Even Composite

Starting at 1,580,314, the Collatz iteration reaches 1 after 57 steps. The first transition is 790157; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 613 × 1289
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,376,180
Proper Divisor Sum 795,866
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1580309 ← → #1580339

Radix Representation

Decimal 1580314
Binary 110000001110100011010 (21 bits)
Octal 0o6016432
Hexadecimal 0x181D1A

Divisor Catalog (8)

1 2 613 1,226 1,289 2,578 790,157 1,580,314

Collatz Trajectory (57 steps to reach 1)

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

1,580,314 790,157 2,370,472 1,185,236 592,618 296,309 888,928 444,464 222,232 111,116 55,558 27,779 83,338 41,669 125,008 62,504 31,252 15,626 7,813 23,440 11,720 5,860 2,930 1,465 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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