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Atlas › Integer Profiles › Node 3,345,846

3,345,846

2 × 3 × 7 × 29 × 41 × 67
Abundant Even Composite

3,345,846 factors as 2 × 3 × 7 × 29 × 41 × 67. Its 64 positive divisors give a proper-divisor sum of 4,879,434, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 29 × 41 × 67
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,225,280
Proper Divisor Sum 4,879,434
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3345841 ← → #3345847

Radix Representation

Decimal 3345846
Binary 1100110000110110110110 (22 bits)
Octal 0o14606666
Hexadecimal 0x330DB6

Divisor Catalog (60 of 64)

1 2 3 6 7 14 21 29 41 42 58 67 82 87 123 134 174 201 203 246 287 402 406 469 574 609 861 938 1,189 1,218 1,407 1,722 1,943 2,378 2,747 2,814 3,567 3,886 5,494 5,829 7,134 8,241 8,323 11,658 13,601 16,482 16,646 19,229 24,969 27,202 38,458 40,803 49,938 57,687 79,663 81,606 115,374 159,326 238,989 477,978

Collatz Trajectory (208 steps to reach 1)

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

3,345,846 1,672,923 5,018,770 2,509,385 7,528,156 3,764,078 1,882,039 5,646,118 2,823,059 8,469,178 4,234,589 12,703,768 6,351,884 3,175,942 1,587,971 4,763,914 2,381,957 7,145,872 3,572,936 1,786,468 893,234 446,617 1,339,852 669,926 334,963 1,004,890 502,445 1,507,336 753,668 376,834 188,417 565,252 282,626 141,313 423,940 211,970 105,985 317,956 158,978 79,489 238,468 119,234 59,617 178,852 89,426 44,713 134,140 67,070 33,535 100,606 50,303 150,910 75,455 226,366 113,183 339,550 169,775 509,326 254,663 763,990

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