672
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 2016
- Proper Divisor Sum (Aliquot Sum)
- 1344
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 192
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 3
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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 12
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- sechshundertzweiundsiebzig· ordinal: sechshundertzweiundsiebzigste
- English
- six hundred seventy-two· ordinal: six hundred seventy-second
- Spanish
- seiscientos setenta y dos· ordinal: 672º
- French
- six cent soixante-douze· ordinal: six cent soixante-douzième
- Italian
- seicentosettantadue· ordinal: 672º
- Latin
- sescenti septuaginta duo· ordinal: 672.
- Portuguese
- seiscentos e setenta e dois· ordinal: 672º
Appears in sequences
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=20A000082
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=37A000114
- For n >= 2, a(n) = b(n+1)+b(n)+b(n-1), where the b(i) are the ménage numbers A000179; a(0)=a(1)=1.at n=6A000270
- Euler transform of A000332.at n=5A000391
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=33A001172
- Number of even graphs with n edges.at n=4A001188
- Triangle in which k-th number (0<=k<=n) in n-th row (0<=n) is number of dodecads in Golay code G_24 containing k given points and missing n-k given points.at n=4A001294
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=25A001307
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=42A001318
- Number of partitions of n into at most 4 parts.at n=41A001400
- Harmonic or Ore numbers: numbers k such that the harmonic mean of the divisors of k is an integer.at n=6A001599
- a(n) = n*(n+1)*2^(n-2).at n=6A001788
- Number of divisors of n-th highly composite number.at n=53A002183
- a(n) = 2^n*C(n+6,6). Number of 6D hypercubes in an (n+6)-dimensional hypercube.at n=3A002409
- Smallest number of stones in Tchoukaillon (or Mancala, or Kalahari) solitaire that make use of n-th hole.at n=45A002491
- Denominator of Sum_{i+j+k=n; i,j,k > 0} 1/(i*j*k).at n=7A002546
- A generalized partition function.at n=10A002600
- Glaisher's function U(n).at n=6A002612
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=11A002706
- Restricted permutations.at n=7A002777