λ
Prime Ledger

3,273,361

7 × 132 × 2767
Deficient Odd Composite

3,273,361 has the prime decomposition 7 × 13^2 × 2767. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 7 × 13^2 × 2767
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,052,352
Proper Divisor Sum 778,991
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3273349 ← → #3273371

Radix Representation

Decimal 3273361
Binary 1100011111001010010001 (22 bits)
Octal 0o14371221
Hexadecimal 0x31F291

Divisor Catalog (12)

1 7 13 91 169 1,183 2,767 19,369 35,971 251,797 467,623 3,273,361

Collatz Trajectory (270 steps to reach 1)

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

3,273,361 9,820,084 4,910,042 2,455,021 7,365,064 3,682,532 1,841,266 920,633 2,761,900 1,380,950 690,475 2,071,426 1,035,713 3,107,140 1,553,570 776,785 2,330,356 1,165,178 582,589 1,747,768 873,884 436,942 218,471 655,414 327,707 983,122 491,561 1,474,684 737,342 368,671 1,106,014 553,007 1,659,022 829,511 2,488,534 1,244,267 3,732,802 1,866,401 5,599,204 2,799,602 1,399,801 4,199,404 2,099,702 1,049,851 3,149,554 1,574,777 4,724,332 2,362,166 1,181,083 3,543,250 1,771,625 5,314,876 2,657,438 1,328,719 3,986,158 1,993,079 5,979,238 2,989,619 8,968,858 4,484,429

More profiles

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