3,372,341

7 × 17² × 1667

3,372,341 has digital root 5. The neighboring primes are 3372331 and 3372349; its proper-divisor sum differs from the starting integer by -2,648,074.

Prime Factor Structure

Factorization String 7 × 17^2 × 1667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,096,608

Proper Divisor Sum 724,267

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3372331 ← → #3372349

Radix Representation

Decimal	3372341
Binary	1100110111010100110101 (22 bits)
Octal	0o14672465
Hexadecimal	0x337535

Divisor Catalog (12)

1 7 17 119 289 1,667 2,023 11,669 28,339 198,373 481,763 3,372,341

Collatz Trajectory (107 steps to reach 1)

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

3,372,341 10,117,024 5,058,512 2,529,256 1,264,628 632,314 316,157 948,472 474,236 237,118 118,559 355,678 177,839 533,518 266,759 800,278 400,139 1,200,418 600,209 1,800,628 900,314 450,157 1,350,472 675,236 337,618 168,809 506,428 253,214 126,607 379,822 189,911 569,734 284,867 854,602 427,301 1,281,904 640,952 320,476 160,238 80,119 240,358 120,179 360,538 180,269 540,808 270,404 135,202 67,601 202,804 101,402 50,701 152,104 76,052 38,026 19,013 57,040 28,520 14,260 7,130 3,565

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