3,337,262

2 × 29 × 163 × 353

3,337,262 factors as 2 × 29 × 163 × 353. Its 16 positive divisors give a proper-divisor sum of 1,887,778, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 29 × 163 × 353

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,225,040

Proper Divisor Sum 1,887,778

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3337261 ← → #3337283

Radix Representation

Decimal	3337262
Binary	1100101110110000101110 (22 bits)
Octal	0o14566056
Hexadecimal	0x32EC2E

Divisor Catalog (16)

1 2 29 58 163 326 353 706 4,727 9,454 10,237 20,474 57,539 115,078 1,668,631 3,337,262

Collatz Trajectory (115 steps to reach 1)

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

3,337,262 1,668,631 5,005,894 2,502,947 7,508,842 3,754,421 11,263,264 5,631,632 2,815,816 1,407,908 703,954 351,977 1,055,932 527,966 263,983 791,950 395,975 1,187,926 593,963 1,781,890 890,945 2,672,836 1,336,418 668,209 2,004,628 1,002,314 501,157 1,503,472 751,736 375,868 187,934 93,967 281,902 140,951 422,854 211,427 634,282 317,141 951,424 475,712 237,856 118,928 59,464 29,732 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172

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