33,354,531

3³ × 7 × 23 × 7673

33,354,531 factors as 3^3 × 7 × 23 × 7673. Its 32 positive divisors give a proper-divisor sum of 25,581,789, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 23 × 7673

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 58,936,320

Proper Divisor Sum 25,581,789

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #33354523 ← → #33354533

Radix Representation

Decimal	33354531
Binary	1111111001111001100100011 (25 bits)
Octal	0o177171443
Hexadecimal	0x1FCF323

Divisor Catalog (32)

Collatz Trajectory (113 steps to reach 1)

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

33,354,531 100,063,594 50,031,797 150,095,392 75,047,696 37,523,848 18,761,924 9,380,962 4,690,481 14,071,444 7,035,722 3,517,861 10,553,584 5,276,792 2,638,396 1,319,198 659,599 1,978,798 989,399 2,968,198 1,484,099 4,452,298 2,226,149 6,678,448 3,339,224 1,669,612 834,806 417,403 1,252,210 626,105 1,878,316 939,158 469,579 1,408,738 704,369 2,113,108 1,056,554 528,277 1,584,832 792,416 396,208 198,104 99,052 49,526 24,763 74,290 37,145 111,436 55,718 27,859 83,578 41,789 125,368 62,684 31,342 15,671 47,014 23,507 70,522 35,261

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