673
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 674
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 672
- Möbius Function
- -1
- Radical
- 673
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 64
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 122
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- sechshundertdreiundsiebzig· ordinal: sechshundertdreiundsiebzigste
- English
- six hundred seventy-three· ordinal: six hundred seventy-third
- Spanish
- seiscientos setenta y tres· ordinal: 673º
- French
- six cent soixante-treize· ordinal: six cent soixante-treizième
- Italian
- seicentosettantatre· ordinal: 673º
- Latin
- sescenti septuaginta tres· ordinal: 673.
- Portuguese
- seiscentos e setenta e três· ordinal: 673º
Appears in sequences
- a(n) = 2*a(n-1) - a(n-2) + a(n-3) + 2^(n-1).at n=8A000253
- Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) with a(0) = a(1) = a(2) = a(3) = 1.at n=12A000288
- Primes p of the form 3k+1 such that Sum_{x=1..p} cos(2*Pi*x^3/p) > sqrt(p).at n=28A000921
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=43A000928
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=42A001033
- Primes with 5 as smallest primitive root.at n=17A001124
- Table T(n,k) in which n-th row lists prime factors of 2^n + 1 (n >= 0), with repetition.at n=55A001269
- Largest prime factor of 2^n + 1.at n=24A002587
- Largest prime factor of 16^n + 1.at n=6A002590
- Number of integer points in a certain quadrilateral scaled by a factor of n.at n=38A002789
- Number of partitions of n into parts 5k+2 or 5k+3.at n=50A003106
- Numbers that are the sum of 4 nonzero 4th powers.at n=32A003338
- Divisors of 2^48 - 1.at n=36A003553
- Discriminants of real quadratic fields with narrow class number 1.at n=54A003655
- Number of 2-factors in W_4 X P_n.at n=3A003764
- a(n) = floor((n^2 + 6n - 3)/4).at n=48A004116
- Generalized Catalan numbers: a(n+1) = a(n) + Sum_{k=2..n-1} a(k)*a(n-1-k).at n=12A004149
- Pentagonal numbers written backwards.at n=16A004163
- Numbers divisible only by primes congruent to 1 mod 7.at n=20A004619
- Numbers divisible only by primes congruent to 1 mod 8.at n=29A004625