3,317,307

3 × 7 × 47 × 3361

3,317,307 factors as 3 × 7 × 47 × 3361. Its 16 positive divisors give a proper-divisor sum of 1,846,725, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 3 × 7 × 47 × 3361

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,164,032

Proper Divisor Sum 1,846,725

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3317299 ← → #3317357

Radix Representation

Decimal	3317307
Binary	1100101001111000111011 (22 bits)
Octal	0o14517073
Hexadecimal	0x329E3B

Divisor Catalog (16)

1 3 7 21 47 141 329 987 3,361 10,083 23,527 70,581 157,967 473,901 1,105,769 3,317,307

Collatz Trajectory (164 steps to reach 1)

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

3,317,307 9,951,922 4,975,961 14,927,884 7,463,942 3,731,971 11,195,914 5,597,957 16,793,872 8,396,936 4,198,468 2,099,234 1,049,617 3,148,852 1,574,426 787,213 2,361,640 1,180,820 590,410 295,205 885,616 442,808 221,404 110,702 55,351 166,054 83,027 249,082 124,541 373,624 186,812 93,406 46,703 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748 49,874 24,937 74,812 37,406 18,703 56,110 28,055 84,166 42,083 126,250

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