33,513

3 × 11171

Starting at 33,513, the Collatz iteration reaches 1 after 142 steps. The first transition is 100540; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 11171

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 44,688

Proper Divisor Sum 11,175

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #33503 ← → #33521

Radix Representation

Decimal	33513
Binary	1000001011101001 (16 bits)
Octal	0o101351
Hexadecimal	0x82E9

Divisor Catalog (4)

1 3 11,171 33,513

Collatz Trajectory (142 steps to reach 1)

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

33,513 100,540 50,270 25,135 75,406 37,703 113,110 56,555 169,666 84,833 254,500 127,250 63,625 190,876 95,438 47,719 143,158 71,579 214,738 107,369 322,108 161,054 80,527 241,582 120,791 362,374 181,187 543,562 271,781 815,344 407,672 203,836 101,918 50,959 152,878 76,439 229,318 114,659 343,978 171,989 515,968 257,984 128,992 64,496 32,248 16,124 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926

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