λ
Harmonic Matrix

3,377,321

3377321
Deficient Odd Prime

3,377,321 has digital root 8. The neighboring primes are 3377317 and 3377347; its proper-divisor sum differs from the starting integer by -3,377,320.

Prime Factor Structure

Factorization String 3377321
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,377,322
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3377317 ← → #3377347

Radix Representation

Decimal 3377321
Binary 1100111000100010101001 (22 bits)
Octal 0o14704251
Hexadecimal 0x3388A9

Divisor Catalog (2)

Collatz Trajectory (107 steps to reach 1)

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

3,377,321 10,131,964 5,065,982 2,532,991 7,598,974 3,799,487 11,398,462 5,699,231 17,097,694 8,548,847 25,646,542 12,823,271 38,469,814 19,234,907 57,704,722 28,852,361 86,557,084 43,278,542 21,639,271 64,917,814 32,458,907 97,376,722 48,688,361 146,065,084 73,032,542 36,516,271 109,548,814 54,774,407 164,323,222 82,161,611 246,484,834 123,242,417 369,727,252 184,863,626 92,431,813 277,295,440 138,647,720 69,323,860 34,661,930 17,330,965 51,992,896 25,996,448 12,998,224 6,499,112 3,249,556 1,624,778 812,389 2,437,168 1,218,584 609,292 304,646 152,323 456,970 228,485 685,456 342,728 171,364 85,682 42,841 128,524

More profiles

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