9,513,414

2 × 3² × 19 × 27817

Starting at 9,513,414, the Collatz iteration reaches 1 after 163 steps. The first transition is 4756707; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 27817

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,698,040

Proper Divisor Sum 12,184,626

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9513409 ← → #9513437

Radix Representation

Decimal	9513414
Binary	100100010010100111000110 (24 bits)
Octal	0o44224706
Hexadecimal	0x9129C6

Divisor Catalog (24)

1 2 3 6 9 18 19 38 57 114 171 342 27,817 55,634 83,451 166,902 250,353 500,706 528,523 1,057,046 1,585,569 3,171,138 4,756,707 9,513,414

Collatz Trajectory (163 steps to reach 1)

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

9,513,414 4,756,707 14,270,122 7,135,061 21,405,184 10,702,592 5,351,296 2,675,648 1,337,824 668,912 334,456 167,228 83,614 41,807 125,422 62,711 188,134 94,067 282,202 141,101 423,304 211,652 105,826 52,913 158,740 79,370 39,685 119,056 59,528 29,764 14,882 7,441 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47

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