33,037

33037

Starting at 33,037, the Collatz iteration reaches 1 after 191 steps. The first transition is 99112; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 33037

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 33,038

Proper Divisor Sum 1

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #33029 ← → #33049

Radix Representation

Decimal	33037
Binary	1000000100001101 (16 bits)
Octal	0o100415
Hexadecimal	0x810D

Divisor Catalog (2)

1 33,037

Collatz Trajectory (191 steps to reach 1)

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

33,037 99,112 49,556 24,778 12,389 37,168 18,584 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555

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