λ
Harmonic Matrix

3,817,301

3817301
Deficient Odd Prime

3,817,301 has digital root 5. The neighboring primes are 3817291 and 3817313; its proper-divisor sum differs from the starting integer by -3,817,300.

Prime Factor Structure

Factorization String 3817301
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,817,302
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3817291 ← → #3817313

Radix Representation

Decimal 3817301
Binary 1110100011111101010101 (22 bits)
Octal 0o16437525
Hexadecimal 0x3A3F55

Divisor Catalog (2)

1 3,817,301

Collatz Trajectory (79 steps to reach 1)

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

3,817,301 11,451,904 5,725,952 2,862,976 1,431,488 715,744 357,872 178,936 89,468 44,734 22,367 67,102 33,551 100,654 50,327 150,982 75,491 226,474 113,237 339,712 169,856 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19

More profiles

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