λ
Sequence Observatory

8,341,604

22 × 31 × 67271
Deficient Even Composite

Starting at 8,341,604, the Collatz iteration reaches 1 after 137 steps. The first transition is 4170802; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 67271
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,068,928
Proper Divisor Sum 6,727,324
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8341603 ← → #8341631

Radix Representation

Decimal 8341604
Binary 11111110100100001100100 (23 bits)
Octal 0o37644144
Hexadecimal 0x7F4864

Divisor Catalog (12)

1 2 4 31 62 124 67,271 134,542 269,084 2,085,401 4,170,802 8,341,604

Collatz Trajectory (137 steps to reach 1)

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

8,341,604 4,170,802 2,085,401 6,256,204 3,128,102 1,564,051 4,692,154 2,346,077 7,038,232 3,519,116 1,759,558 879,779 2,639,338 1,319,669 3,959,008 1,979,504 989,752 494,876 247,438 123,719 371,158 185,579 556,738 278,369 835,108 417,554 208,777 626,332 313,166 156,583 469,750 234,875 704,626 352,313 1,056,940 528,470 264,235 792,706 396,353 1,189,060 594,530 297,265 891,796 445,898 222,949 668,848 334,424 167,212 83,606 41,803 125,410 62,705 188,116 94,058 47,029 141,088 70,544 35,272 17,636 8,818

More profiles

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