32,353

32353

Starting at 32,353, the Collatz iteration reaches 1 after 129 steps. The first transition is 97060; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 32353

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 32,354

Proper Divisor Sum 1

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #32341 ← → #32359

Radix Representation

Decimal	32353
Binary	111111001100001 (15 bits)
Octal	0o77141
Hexadecimal	0x7E61

Divisor Catalog (2)

1 32,353

Collatz Trajectory (129 steps to reach 1)

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

32,353 97,060 48,530 24,265 72,796 36,398 18,199 54,598 27,299 81,898 40,949 122,848 61,424 30,712 15,356 7,678 3,839 11,518 5,759 17,278 8,639 25,918 12,959 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129 420,388 210,194 105,097 315,292 157,646 78,823 236,470 118,235 354,706 177,353 532,060 266,030

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