λ
Sequence Observatory

8,610,429

3 × 307 × 9349
Deficient Odd Composite

Starting at 8,610,429, the Collatz iteration reaches 1 after 318 steps. The first transition is 25831288; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 307 × 9349
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,519,200
Proper Divisor Sum 2,908,771
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8610409 ← → #8610431

Radix Representation

Decimal 8610429
Binary 100000110110001001111101 (24 bits)
Octal 0o40661175
Hexadecimal 0x83627D

Divisor Catalog (8)

1 3 307 921 9,349 28,047 2,870,143 8,610,429

Collatz Trajectory (318 steps to reach 1)

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

8,610,429 25,831,288 12,915,644 6,457,822 3,228,911 9,686,734 4,843,367 14,530,102 7,265,051 21,795,154 10,897,577 32,692,732 16,346,366 8,173,183 24,519,550 12,259,775 36,779,326 18,389,663 55,168,990 27,584,495 82,753,486 41,376,743 124,130,230 62,065,115 186,195,346 93,097,673 279,293,020 139,646,510 69,823,255 209,469,766 104,734,883 314,204,650 157,102,325 471,306,976 235,653,488 117,826,744 58,913,372 29,456,686 14,728,343 44,185,030 22,092,515 66,277,546 33,138,773 99,416,320 49,708,160 24,854,080 12,427,040 6,213,520 3,106,760 1,553,380 776,690 388,345 1,165,036 582,518 291,259 873,778 436,889 1,310,668 655,334 327,667

More profiles

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