λ
Harmonic Matrix

354,839

354839
Deficient Odd Prime

354,839 has digital root 5. The neighboring primes are 354833 and 354847; its proper-divisor sum differs from the starting integer by -354,838.

Prime Factor Structure

Factorization String 354839
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 354,840
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #354833 ← → #354847

Radix Representation

Decimal 354839
Binary 1010110101000010111 (19 bits)
Octal 0o1265027
Hexadecimal 0x56A17

Divisor Catalog (2)

Collatz Trajectory (210 steps to reach 1)

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

354,839 1,064,518 532,259 1,596,778 798,389 2,395,168 1,197,584 598,792 299,396 149,698 74,849 224,548 112,274 56,137 168,412 84,206 42,103 126,310 63,155 189,466 94,733 284,200 142,100 71,050 35,525 106,576 53,288 26,644 13,322 6,661 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534

More profiles

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