λ
Sequence Observatory

4,426,007

4426007
Deficient Odd Prime

Starting at 4,426,007, the Collatz iteration reaches 1 after 255 steps. The first transition is 13278022; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4426007
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,426,008
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4425997 ← → #4426021

Radix Representation

Decimal 4426007
Binary 10000111000100100010111 (23 bits)
Octal 0o20704427
Hexadecimal 0x438917

Divisor Catalog (2)

1 4,426,007

Collatz Trajectory (255 steps to reach 1)

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

4,426,007 13,278,022 6,639,011 19,917,034 9,958,517 29,875,552 14,937,776 7,468,888 3,734,444 1,867,222 933,611 2,800,834 1,400,417 4,201,252 2,100,626 1,050,313 3,150,940 1,575,470 787,735 2,363,206 1,181,603 3,544,810 1,772,405 5,317,216 2,658,608 1,329,304 664,652 332,326 166,163 498,490 249,245 747,736 373,868 186,934 93,467 280,402 140,201 420,604 210,302 105,151 315,454 157,727 473,182 236,591 709,774 354,887 1,064,662 532,331 1,596,994 798,497 2,395,492 1,197,746 598,873 1,796,620 898,310 449,155 1,347,466 673,733 2,021,200 1,010,600

More profiles

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