121,851

3³ × 4513

Starting at 121,851, the Collatz iteration reaches 1 after 149 steps. The first transition is 365554; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 4513

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 180,560

Proper Divisor Sum 58,709

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #121843 ← → #121853

Radix Representation

Decimal	121851
Binary	11101101111111011 (17 bits)
Octal	0o355773
Hexadecimal	0x1DBFB

Divisor Catalog (8)

1 3 9 27 4,513 13,539 40,617 121,851

Collatz Trajectory (149 steps to reach 1)

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

121,851 365,554 182,777 548,332 274,166 137,083 411,250 205,625 616,876 308,438 154,219 462,658 231,329 693,988 346,994 173,497 520,492 260,246 130,123 390,370 195,185 585,556 292,778 146,389 439,168 219,584 109,792 54,896 27,448 13,724 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002

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