33,321,292

2² × 17 × 490019

33,321,292 factors as 2^2 × 17 × 490019. Its 12 positive divisors give a proper-divisor sum of 28,421,228, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 490019

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 61,742,520

Proper Divisor Sum 28,421,228

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #33321289 ← → #33321313

Radix Representation

Decimal	33321292
Binary	1111111000111000101001100 (25 bits)
Octal	0o177070514
Hexadecimal	0x1FC714C

Divisor Catalog (12)

1 2 4 17 34 68 490,019 980,038 1,960,076 8,330,323 16,660,646 33,321,292

Collatz Trajectory (108 steps to reach 1)

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

33,321,292 16,660,646 8,330,323 24,990,970 12,495,485 37,486,456 18,743,228 9,371,614 4,685,807 14,057,422 7,028,711 21,086,134 10,543,067 31,629,202 15,814,601 47,443,804 23,721,902 11,860,951 35,582,854 17,791,427 53,374,282 26,687,141 80,061,424 40,030,712 20,015,356 10,007,678 5,003,839 15,011,518 7,505,759 22,517,278 11,258,639 33,775,918 16,887,959 50,663,878 25,331,939 75,995,818 37,997,909 113,993,728 56,996,864 28,498,432 14,249,216 7,124,608 3,562,304 1,781,152 890,576 445,288 222,644 111,322 55,661 166,984 83,492 41,746 20,873 62,620 31,310 15,655 46,966 23,483 70,450 35,225

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