λ
Harmonic Matrix

3,381,923

3381923
Deficient Odd Prime

3,381,923 has digital root 2. The neighboring primes are 3381919 and 3381971; its proper-divisor sum differs from the starting integer by -3,381,922.

Prime Factor Structure

Factorization String 3381923
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,381,924
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3381919 ← → #3381971

Radix Representation

Decimal 3381923
Binary 1100111001101010100011 (22 bits)
Octal 0o14715243
Hexadecimal 0x339AA3

Divisor Catalog (2)

Collatz Trajectory (84 steps to reach 1)

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

3,381,923 10,145,770 5,072,885 15,218,656 7,609,328 3,804,664 1,902,332 951,166 475,583 1,426,750 713,375 2,140,126 1,070,063 3,210,190 1,605,095 4,815,286 2,407,643 7,222,930 3,611,465 10,834,396 5,417,198 2,708,599 8,125,798 4,062,899 12,188,698 6,094,349 18,283,048 9,141,524 4,570,762 2,285,381 6,856,144 3,428,072 1,714,036 857,018 428,509 1,285,528 642,764 321,382 160,691 482,074 241,037 723,112 361,556 180,778 90,389 271,168 135,584 67,792 33,896 16,948 8,474 4,237 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596

More profiles

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