9,289,688

2³ × 73 × 15907

Starting at 9,289,688, the Collatz iteration reaches 1 after 194 steps. The first transition is 4644844; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 73 × 15907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,657,880

Proper Divisor Sum 8,368,192

Digit Sum / Digital Root 50 (Root: 5)

Adjacent Primes #9289663 ← → #9289733

Radix Representation

Decimal	9289688
Binary	100011011011111111011000 (24 bits)
Octal	0o43337730
Hexadecimal	0x8DBFD8

Divisor Catalog (16)

1 2 4 8 73 146 292 584 15,907 31,814 63,628 127,256 1,161,211 2,322,422 4,644,844 9,289,688

Collatz Trajectory (194 steps to reach 1)

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

9,289,688 4,644,844 2,322,422 1,161,211 3,483,634 1,741,817 5,225,452 2,612,726 1,306,363 3,919,090 1,959,545 5,878,636 2,939,318 1,469,659 4,408,978 2,204,489 6,613,468 3,306,734 1,653,367 4,960,102 2,480,051 7,440,154 3,720,077 11,160,232 5,580,116 2,790,058 1,395,029 4,185,088 2,092,544 1,046,272 523,136 261,568 130,784 65,392 32,696 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827

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