4,426,641

3² × 149 × 3301

Starting at 4,426,641, the Collatz iteration reaches 1 after 118 steps. The first transition is 13279924; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 149 × 3301

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,438,900

Proper Divisor Sum 2,012,259

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4426627 ← → #4426651

Radix Representation

Decimal	4426641
Binary	10000111000101110010001 (23 bits)
Octal	0o20705621
Hexadecimal	0x438B91

Divisor Catalog (12)

1 3 9 149 447 1,341 3,301 9,903 29,709 491,849 1,475,547 4,426,641

Collatz Trajectory (118 steps to reach 1)

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

4,426,641 13,279,924 6,639,962 3,319,981 9,959,944 4,979,972 2,489,986 1,244,993 3,734,980 1,867,490 933,745 2,801,236 1,400,618 700,309 2,100,928 1,050,464 525,232 262,616 131,308 65,654 32,827 98,482 49,241 147,724 73,862 36,931 110,794 55,397 166,192 83,096 41,548 20,774 10,387 31,162 15,581 46,744 23,372 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684

← Previous Integer #4,426,640 Browse Full Index Next Integer #4,426,642 →