79,659

3² × 53 × 167

Starting at 79,659, the Collatz iteration reaches 1 after 76 steps. The first transition is 238978; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 53 × 167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 117,936

Proper Divisor Sum 38,277

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #79657 ← → #79669

Radix Representation

Decimal	79659
Binary	10011011100101011 (17 bits)
Octal	0o233453
Hexadecimal	0x1372B

Divisor Catalog (12)

1 3 9 53 159 167 477 501 1,503 8,851 26,553 79,659

Collatz Trajectory (76 steps to reach 1)

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

79,659 238,978 119,489 358,468 179,234 89,617 268,852 134,426 67,213 201,640 100,820 50,410 25,205 75,616 37,808 18,904 9,452 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88

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