33,429,672

2³ × 3⁴ × 23 × 2243

33,429,672 factors as 2^3 × 3^4 × 23 × 2243. Its 80 positive divisors give a proper-divisor sum of 64,318,968, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 23 × 2243

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 97,748,640

Proper Divisor Sum 64,318,968

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #33429659 ← → #33429691

Radix Representation

Decimal	33429672
Binary	1111111100001100010101000 (25 bits)
Octal	0o177414250
Hexadecimal	0x1FE18A8

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1,242 1,656 1,863 2,243 2,484 3,726 4,486 4,968 6,729 7,452 8,972 13,458 14,904 17,944 20,187 26,916 40,374 51,589 53,832 60,561 80,748 103,178 121,122 154,767 161,496 181,683 206,356 242,244

Collatz Trajectory (77 steps to reach 1)

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

33,429,672 16,714,836 8,357,418 4,178,709 12,536,128 6,268,064 3,134,032 1,567,016 783,508 391,754 195,877 587,632 293,816 146,908 73,454 36,727 110,182 55,091 165,274 82,637 247,912 123,956 61,978 30,989 92,968 46,484 23,242 11,621 34,864 17,432 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28

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