λ
Sequence Observatory

6,451,905

3 × 5 × 463 × 929
Deficient Odd Composite

Starting at 6,451,905, the Collatz iteration reaches 1 after 165 steps. The first transition is 19355716; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 463 × 929
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,356,480
Proper Divisor Sum 3,904,575
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6451897 ← → #6451919

Radix Representation

Decimal 6451905
Binary 11000100111001011000001 (23 bits)
Octal 0o30471301
Hexadecimal 0x6272C1

Divisor Catalog (16)

1 3 5 15 463 929 1,389 2,315 2,787 4,645 6,945 13,935 430,127 1,290,381 2,150,635 6,451,905

Collatz Trajectory (165 steps to reach 1)

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

6,451,905 19,355,716 9,677,858 4,838,929 14,516,788 7,258,394 3,629,197 10,887,592 5,443,796 2,721,898 1,360,949 4,082,848 2,041,424 1,020,712 510,356 255,178 127,589 382,768 191,384 95,692 47,846 23,923 71,770 35,885 107,656 53,828 26,914 13,457 40,372 20,186 10,093 30,280 15,140 7,570 3,785 11,356 5,678 2,839 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190

More profiles

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