λ
Sequence Observatory

4,224,634

2 × 163 × 12959
Deficient Even Composite

Starting at 4,224,634, the Collatz iteration reaches 1 after 304 steps. The first transition is 2112317; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 163 × 12959
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,376,320
Proper Divisor Sum 2,151,686
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4224629 ← → #4224637

Radix Representation

Decimal 4224634
Binary 10000000111011001111010 (23 bits)
Octal 0o20073172
Hexadecimal 0x40767A

Divisor Catalog (8)

1 2 163 326 12,959 25,918 2,112,317 4,224,634

Collatz Trajectory (304 steps to reach 1)

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

4,224,634 2,112,317 6,336,952 3,168,476 1,584,238 792,119 2,376,358 1,188,179 3,564,538 1,782,269 5,346,808 2,673,404 1,336,702 668,351 2,005,054 1,002,527 3,007,582 1,503,791 4,511,374 2,255,687 6,767,062 3,383,531 10,150,594 5,075,297 15,225,892 7,612,946 3,806,473 11,419,420 5,709,710 2,854,855 8,564,566 4,282,283 12,846,850 6,423,425 19,270,276 9,635,138 4,817,569 14,452,708 7,226,354 3,613,177 10,839,532 5,419,766 2,709,883 8,129,650 4,064,825 12,194,476 6,097,238 3,048,619 9,145,858 4,572,929 13,718,788 6,859,394 3,429,697 10,289,092 5,144,546 2,572,273 7,716,820 3,858,410 1,929,205 5,787,616

More profiles

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