λ
Harmonic Matrix

163,837

19 × 8623
Deficient Odd Composite

163,837 has digital root 1. The neighboring primes are 163819 and 163841; its proper-divisor sum differs from the starting integer by -155,194.

Prime Factor Structure

Factorization String 19 × 8623
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 172,480
Proper Divisor Sum 8,643
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #163819 ← → #163841

Radix Representation

Decimal 163837
Binary 100111111111111101 (18 bits)
Octal 0o477775
Hexadecimal 0x27FFD

Divisor Catalog (4)

1 19 8,623 163,837

Collatz Trajectory (289 steps to reach 1)

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

163,837 491,512 245,756 122,878 61,439 184,318 92,159 276,478 138,239 414,718 207,359 622,078 311,039 933,118 466,559 1,399,678 699,839 2,099,518 1,049,759 3,149,278 1,574,639 4,723,918 2,361,959 7,085,878 3,542,939 10,628,818 5,314,409 15,943,228 7,971,614 3,985,807 11,957,422 5,978,711 17,936,134 8,968,067 26,904,202 13,452,101 40,356,304 20,178,152 10,089,076 5,044,538 2,522,269 7,566,808 3,783,404 1,891,702 945,851 2,837,554 1,418,777 4,256,332 2,128,166 1,064,083 3,192,250 1,596,125 4,788,376 2,394,188 1,197,094 598,547 1,795,642 897,821 2,693,464 1,346,732

More profiles

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