λ
Sequence Observatory

1,679,951

7 × 13 × 18461
Deficient Odd Composite

Starting at 1,679,951, the Collatz iteration reaches 1 after 251 steps. The first transition is 5039854; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 18461
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,067,744
Proper Divisor Sum 387,793
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1679939 ← → #1679959

Radix Representation

Decimal 1679951
Binary 110011010001001001111 (21 bits)
Octal 0o6321117
Hexadecimal 0x19A24F

Divisor Catalog (8)

1 7 13 91 18,461 129,227 239,993 1,679,951

Collatz Trajectory (251 steps to reach 1)

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

1,679,951 5,039,854 2,519,927 7,559,782 3,779,891 11,339,674 5,669,837 17,009,512 8,504,756 4,252,378 2,126,189 6,378,568 3,189,284 1,594,642 797,321 2,391,964 1,195,982 597,991 1,793,974 896,987 2,690,962 1,345,481 4,036,444 2,018,222 1,009,111 3,027,334 1,513,667 4,541,002 2,270,501 6,811,504 3,405,752 1,702,876 851,438 425,719 1,277,158 638,579 1,915,738 957,869 2,873,608 1,436,804 718,402 359,201 1,077,604 538,802 269,401 808,204 404,102 202,051 606,154 303,077 909,232 454,616 227,308 113,654 56,827 170,482 85,241 255,724 127,862 63,931

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