712
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1350
- Proper Divisor Sum (Aliquot Sum)
- 638
- 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
- 352
- Möbius Function
- 0
- Radical
- 178
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 33
- 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
- siebenhundertzwölf· ordinal: siebenhundertzwölfste
- English
- seven hundred twelve· ordinal: seven hundred twelfth
- Spanish
- setecientos doce· ordinal: 712º
- French
- sept cent douze· ordinal: sept cent douzième
- Italian
- settecentododici· ordinal: 712º
- Latin
- septingenti duodecim· ordinal: 712.
- Portuguese
- setecentos e doze· ordinal: 712º
Appears in sequences
- Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010.at n=48A002088
- a(1) = 3; for n>0, a(n+1) = a(n) + floor((a(n)-1)/2).at n=15A003312
- Numbers that are the sum of 11 positive 5th powers.at n=30A003356
- Number of nonequivalent dissections of an n-gon into n-4 polygons by nonintersecting diagonals up to rotation.at n=5A003445
- Series for second perpendicular moment of hexagonal lattice.at n=5A006738
- Sum of the first n primes.at n=21A007504
- Coordination sequence T1 for Moganite.at n=17A008258
- Coordination sequence T2 for Scapolite.at n=17A008263
- Number of Costas arrays of order n, counting rotations and flips as distinct.at n=27A008404
- Molien series for Weyl group E_8.at n=42A008582
- Coordination sequence for MgNi2, Position Ni2.at n=7A009932
- Number of triples (i,j,k) with 1 <= i < j < k <= n and gcd(i,j,k) = 1.at n=17A015616
- Number of triples of different integers from [ 2,n ] with no global factor.at n=17A015618
- Let m=n+1; a(n) is the least positive integer s, not a multiple of m, such that if 1<=d<=m and (d,m)=1, then d divides one of the numbers s-m, s-2m, ..., s-m[ s/m ].at n=43A018205
- Divisors of 712.at n=7A018605
- Define the sequence S(a(0),a(1)) by a(n+2) is the least integer such that a(n+2)/a(n+1) > a(n+1)/a(n) for n >= 0. This is S(1,5).at n=4A018903
- Number of multigraphs on n labeled edges (with loops). Also number of genetically distinct states amongst n individuals.at n=4A020555
- Fibonacci sequence beginning 0, 8.at n=11A022091
- First row of spectral array W(sqrt(5)-1).at n=7A022165
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3).at n=15A024312