3,399,993

3² × 19 × 59 × 337

3,399,993 factors as 3^2 × 19 × 59 × 337. Its 24 positive divisors give a proper-divisor sum of 1,872,807, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 59 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,272,800

Proper Divisor Sum 1,872,807

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3399973 ← → #3399997

Radix Representation

Decimal	3399993
Binary	1100111110000100111001 (22 bits)
Octal	0o14760471
Hexadecimal	0x33E139

Divisor Catalog (24)

Collatz Trajectory (208 steps to reach 1)

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

3,399,993 10,199,980 5,099,990 2,549,995 7,649,986 3,824,993 11,474,980 5,737,490 2,868,745 8,606,236 4,303,118 2,151,559 6,454,678 3,227,339 9,682,018 4,841,009 14,523,028 7,261,514 3,630,757 10,892,272 5,446,136 2,723,068 1,361,534 680,767 2,042,302 1,021,151 3,063,454 1,531,727 4,595,182 2,297,591 6,892,774 3,446,387 10,339,162 5,169,581 15,508,744 7,754,372 3,877,186 1,938,593 5,815,780 2,907,890 1,453,945 4,361,836 2,180,918 1,090,459 3,271,378 1,635,689 4,907,068 2,453,534 1,226,767 3,680,302 1,840,151 5,520,454 2,760,227 8,280,682 4,140,341 12,421,024 6,210,512 3,105,256 1,552,628 776,314

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