λ
Math Directory

3,275,169

3 × 17 × 149 × 431
Deficient Odd Composite

3,275,169 factors as 3 × 17 × 149 × 431. Its 16 positive divisors give a proper-divisor sum of 1,390,431, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 3 × 17 × 149 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,665,600
Proper Divisor Sum 1,390,431
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3275147 ← → #3275179

Radix Representation

Decimal 3275169
Binary 1100011111100110100001 (22 bits)
Octal 0o14374641
Hexadecimal 0x31F9A1

Divisor Catalog (16)

1 3 17 51 149 431 447 1,293 2,533 7,327 7,599 21,981 64,219 192,657 1,091,723 3,275,169

Collatz Trajectory (133 steps to reach 1)

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

3,275,169 9,825,508 4,912,754 2,456,377 7,369,132 3,684,566 1,842,283 5,526,850 2,763,425 8,290,276 4,145,138 2,072,569 6,217,708 3,108,854 1,554,427 4,663,282 2,331,641 6,994,924 3,497,462 1,748,731 5,246,194 2,623,097 7,869,292 3,934,646 1,967,323 5,901,970 2,950,985 8,852,956 4,426,478 2,213,239 6,639,718 3,319,859 9,959,578 4,979,789 14,939,368 7,469,684 3,734,842 1,867,421 5,602,264 2,801,132 1,400,566 700,283 2,100,850 1,050,425 3,151,276 1,575,638 787,819 2,363,458 1,181,729 3,545,188 1,772,594 886,297 2,658,892 1,329,446 664,723 1,994,170 997,085 2,991,256 1,495,628 747,814

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