9,163,131

3 × 23 × 41² × 79

Starting at 9,163,131, the Collatz iteration reaches 1 after 132 steps. The first transition is 27489394; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 41^2 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,232,640

Proper Divisor Sum 4,069,509

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #9163127 ← → #9163139

Radix Representation

Decimal	9163131
Binary	100010111101000101111011 (24 bits)
Octal	0o42750573
Hexadecimal	0x8BD17B

Divisor Catalog (24)

1 3 23 41 69 79 123 237 943 1,681 1,817 2,829 3,239 5,043 5,451 9,717 38,663 74,497 115,989 132,799 223,491 398,397 3,054,377 9,163,131

Collatz Trajectory (132 steps to reach 1)

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

9,163,131 27,489,394 13,744,697 41,234,092 20,617,046 10,308,523 30,925,570 15,462,785 46,388,356 23,194,178 11,597,089 34,791,268 17,395,634 8,697,817 26,093,452 13,046,726 6,523,363 19,570,090 9,785,045 29,355,136 14,677,568 7,338,784 3,669,392 1,834,696 917,348 458,674 229,337 688,012 344,006 172,003 516,010 258,005 774,016 387,008 193,504 96,752 48,376 24,188 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688

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