33,342,156

2² × 3² × 926171

33,342,156 factors as 2^2 × 3^2 × 926171. Its 18 positive divisors give a proper-divisor sum of 50,939,496, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 926171

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 84,281,652

Proper Divisor Sum 50,939,496

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #33342121 ← → #33342167

Radix Representation

Decimal	33342156
Binary	1111111001100001011001100 (25 bits)
Octal	0o177141314
Hexadecimal	0x1FCC2CC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 926,171 1,852,342 2,778,513 3,704,684 5,557,026 8,335,539 11,114,052 16,671,078 33,342,156

Collatz Trajectory (113 steps to reach 1)

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

33,342,156 16,671,078 8,335,539 25,006,618 12,503,309 37,509,928 18,754,964 9,377,482 4,688,741 14,066,224 7,033,112 3,516,556 1,758,278 879,139 2,637,418 1,318,709 3,956,128 1,978,064 989,032 494,516 247,258 123,629 370,888 185,444 92,722 46,361 139,084 69,542 34,771 104,314 52,157 156,472 78,236 39,118 19,559 58,678 29,339 88,018 44,009 132,028 66,014 33,007 99,022 49,511 148,534 74,267 222,802 111,401 334,204 167,102 83,551 250,654 125,327 375,982 187,991 563,974 281,987 845,962 422,981 1,268,944

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