λ
Harmonic Matrix

835,165

5 × 167033
Deficient Odd Composite

835,165 has digital root 1. The neighboring primes are 835141 and 835207; its proper-divisor sum differs from the starting integer by -668,126.

Prime Factor Structure

Factorization String 5 × 167033
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,002,204
Proper Divisor Sum 167,039
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #835141 ← → #835207

Radix Representation

Decimal 835165
Binary 11001011111001011101 (20 bits)
Octal 0o3137135
Hexadecimal 0xCBE5D

Divisor Catalog (4)

1 5 167,033 835,165

Collatz Trajectory (206 steps to reach 1)

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

835,165 2,505,496 1,252,748 626,374 313,187 939,562 469,781 1,409,344 704,672 352,336 176,168 88,084 44,042 22,021 66,064 33,032 16,516 8,258 4,129 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996

More profiles

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