9,868,564

2² × 23 × 67 × 1601

Starting at 9,868,564, the Collatz iteration reaches 1 after 114 steps. The first transition is 4934282; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 67 × 1601

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,301,248

Proper Divisor Sum 8,432,684

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #9868561 ← → #9868597

Radix Representation

Decimal	9868564
Binary	100101101001010100010100 (24 bits)
Octal	0o45512424
Hexadecimal	0x969514

Divisor Catalog (24)

1 2 4 23 46 67 92 134 268 1,541 1,601 3,082 3,202 6,164 6,404 36,823 73,646 107,267 147,292 214,534 429,068 2,467,141 4,934,282 9,868,564

Collatz Trajectory (114 steps to reach 1)

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

9,868,564 4,934,282 2,467,141 7,401,424 3,700,712 1,850,356 925,178 462,589 1,387,768 693,884 346,942 173,471 520,414 260,207 780,622 390,311 1,170,934 585,467 1,756,402 878,201 2,634,604 1,317,302 658,651 1,975,954 987,977 2,963,932 1,481,966 740,983 2,222,950 1,111,475 3,334,426 1,667,213 5,001,640 2,500,820 1,250,410 625,205 1,875,616 937,808 468,904 234,452 117,226 58,613 175,840 87,920 43,960 21,980 10,990 5,495 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739

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