λ
Harmonic Matrix

404,399

404399
Deficient Odd Prime

404,399 has digital root 2. The neighboring primes are 404389 and 404419; its proper-divisor sum differs from the starting integer by -404,398.

Prime Factor Structure

Factorization String 404399
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 404,400
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #404389 ← → #404419

Radix Representation

Decimal 404399
Binary 1100010101110101111 (19 bits)
Octal 0o1425657
Hexadecimal 0x62BAF

Divisor Catalog (2)

Collatz Trajectory (236 steps to reach 1)

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

404,399 1,213,198 606,599 1,819,798 909,899 2,729,698 1,364,849 4,094,548 2,047,274 1,023,637 3,070,912 1,535,456 767,728 383,864 191,932 95,966 47,983 143,950 71,975 215,926 107,963 323,890 161,945 485,836 242,918 121,459 364,378 182,189 546,568 273,284 136,642 68,321 204,964 102,482 51,241 153,724 76,862 38,431 115,294 57,647 172,942 86,471 259,414 129,707 389,122 194,561 583,684 291,842 145,921 437,764 218,882 109,441 328,324 164,162 82,081 246,244 123,122 61,561 184,684 92,342

More profiles

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