233,469

3³ × 8647

Starting at 233,469, the Collatz iteration reaches 1 after 93 steps. The first transition is 700408; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 8647

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 345,920

Proper Divisor Sum 112,451

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #233437 ← → #233477

Radix Representation

Decimal	233469
Binary	111000111111111101 (18 bits)
Octal	0o707775
Hexadecimal	0x38FFD

Divisor Catalog (8)

1 3 9 27 8,647 25,941 77,823 233,469

Collatz Trajectory (93 steps to reach 1)

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

233,469 700,408 350,204 175,102 87,551 262,654 131,327 393,982 196,991 590,974 295,487 886,462 443,231 1,329,694 664,847 1,994,542 997,271 2,991,814 1,495,907 4,487,722 2,243,861 6,731,584 3,365,792 1,682,896 841,448 420,724 210,362 105,181 315,544 157,772 78,886 39,443 118,330 59,165 177,496 88,748 44,374 22,187 66,562 33,281 99,844 49,922 24,961 74,884 37,442 18,721 56,164 28,082 14,041 42,124 21,062 10,531 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481

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