λ
Sequence Observatory

3,444,447

3 × 613 × 1873
Deficient Odd Composite

Starting at 3,444,447, the Collatz iteration reaches 1 after 159 steps. The first transition is 10333342; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 613 × 1873
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,602,544
Proper Divisor Sum 1,158,097
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3444443 ← → #3444449

Radix Representation

Decimal 3444447
Binary 1101001000111011011111 (22 bits)
Octal 0o15107337
Hexadecimal 0x348EDF

Divisor Catalog (8)

1 3 613 1,839 1,873 5,619 1,148,149 3,444,447

Collatz Trajectory (159 steps to reach 1)

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

3,444,447 10,333,342 5,166,671 15,500,014 7,750,007 23,250,022 11,625,011 34,875,034 17,437,517 52,312,552 26,156,276 13,078,138 6,539,069 19,617,208 9,808,604 4,904,302 2,452,151 7,356,454 3,678,227 11,034,682 5,517,341 16,552,024 8,276,012 4,138,006 2,069,003 6,207,010 3,103,505 9,310,516 4,655,258 2,327,629 6,982,888 3,491,444 1,745,722 872,861 2,618,584 1,309,292 654,646 327,323 981,970 490,985 1,472,956 736,478 368,239 1,104,718 552,359 1,657,078 828,539 2,485,618 1,242,809 3,728,428 1,864,214 932,107 2,796,322 1,398,161 4,194,484 2,097,242 1,048,621 3,145,864 1,572,932 786,466

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