38,889

3² × 29 × 149

Starting at 38,889, the Collatz iteration reaches 1 after 230 steps. The first transition is 116668; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 29 × 149

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 58,500

Proper Divisor Sum 19,611

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #38873 ← → #38891

Radix Representation

Decimal	38889
Binary	1001011111101001 (16 bits)
Octal	0o113751
Hexadecimal	0x97E9

Divisor Catalog (12)

1 3 9 29 87 149 261 447 1,341 4,321 12,963 38,889

Collatz Trajectory (230 steps to reach 1)

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

38,889 116,668 58,334 29,167 87,502 43,751 131,254 65,627 196,882 98,441 295,324 147,662 73,831 221,494 110,747 332,242 166,121 498,364 249,182 124,591 373,774 186,887 560,662 280,331 840,994 420,497 1,261,492 630,746 315,373 946,120 473,060 236,530 118,265 354,796 177,398 88,699 266,098 133,049 399,148 199,574 99,787 299,362 149,681 449,044 224,522 112,261 336,784 168,392 84,196 42,098 21,049 63,148 31,574 15,787 47,362 23,681 71,044 35,522 17,761 53,284

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