λ
Sequence Observatory

2,258,283

3 × 19 × 39619
Deficient Odd Composite

Starting at 2,258,283, the Collatz iteration reaches 1 after 179 steps. The first transition is 6774850; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 39619
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,169,600
Proper Divisor Sum 911,317
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2258279 ← → #2258287

Radix Representation

Decimal 2258283
Binary 1000100111010101101011 (22 bits)
Octal 0o10472553
Hexadecimal 0x22756B

Divisor Catalog (8)

1 3 19 57 39,619 118,857 752,761 2,258,283

Collatz Trajectory (179 steps to reach 1)

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

2,258,283 6,774,850 3,387,425 10,162,276 5,081,138 2,540,569 7,621,708 3,810,854 1,905,427 5,716,282 2,858,141 8,574,424 4,287,212 2,143,606 1,071,803 3,215,410 1,607,705 4,823,116 2,411,558 1,205,779 3,617,338 1,808,669 5,426,008 2,713,004 1,356,502 678,251 2,034,754 1,017,377 3,052,132 1,526,066 763,033 2,289,100 1,144,550 572,275 1,716,826 858,413 2,575,240 1,287,620 643,810 321,905 965,716 482,858 241,429 724,288 362,144 181,072 90,536 45,268 22,634 11,317 33,952 16,976 8,488 4,244 2,122 1,061 3,184 1,592 796 398

More profiles

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