8,784,954

2 × 3² × 17 × 19 × 1511

Starting at 8,784,954, the Collatz iteration reaches 1 after 181 steps. The first transition is 4392477; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 19 × 1511

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,228,480

Proper Divisor Sum 12,443,526

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8784953 ← → #8784961

Radix Representation

Decimal	8784954
Binary	100001100000110000111010 (24 bits)
Octal	0o41406072
Hexadecimal	0x860C3A

Divisor Catalog (48)

1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1,511 1,938 2,907 3,022 4,533 5,814 9,066 13,599 25,687 27,198 28,709 51,374 57,418 77,061 86,127 154,122 172,254 231,183 258,381 462,366 488,053 516,762 976,106 1,464,159 2,928,318 4,392,477 8,784,954

Collatz Trajectory (181 steps to reach 1)

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

8,784,954 4,392,477 13,177,432 6,588,716 3,294,358 1,647,179 4,941,538 2,470,769 7,412,308 3,706,154 1,853,077 5,559,232 2,779,616 1,389,808 694,904 347,452 173,726 86,863 260,590 130,295 390,886 195,443 586,330 293,165 879,496 439,748 219,874 109,937 329,812 164,906 82,453 247,360 123,680 61,840 30,920 15,460 7,730 3,865 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549

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