4,431,455

5 × 7 × 126613

Starting at 4,431,455, the Collatz iteration reaches 1 after 242 steps. The first transition is 13294366; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 126613

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,077,472

Proper Divisor Sum 1,646,017

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4431443 ← → #4431457

Radix Representation

Decimal	4431455
Binary	10000111001111001011111 (23 bits)
Octal	0o20717137
Hexadecimal	0x439E5F

Divisor Catalog (8)

1 5 7 35 126,613 633,065 886,291 4,431,455

Collatz Trajectory (242 steps to reach 1)

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

4,431,455 13,294,366 6,647,183 19,941,550 9,970,775 29,912,326 14,956,163 44,868,490 22,434,245 67,302,736 33,651,368 16,825,684 8,412,842 4,206,421 12,619,264 6,309,632 3,154,816 1,577,408 788,704 394,352 197,176 98,588 49,294 24,647 73,942 36,971 110,914 55,457 166,372 83,186 41,593 124,780 62,390 31,195 93,586 46,793 140,380 70,190 35,095 105,286 52,643 157,930 78,965 236,896 118,448 59,224 29,612 14,806 7,403 22,210 11,105 33,316 16,658 8,329 24,988 12,494 6,247 18,742 9,371 28,114

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