412
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 728
- Proper Divisor Sum (Aliquot Sum)
- 316
- 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
- 204
- Möbius Function
- 0
- Radical
- 206
- Omega Function (Ω)
- 3
- 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
- 89
- 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
- vierhundertzwölf· ordinal: vierhundertzwölfste
- English
- four hundred twelve· ordinal: four hundred twelfth
- Spanish
- cuatrocientos doce· ordinal: 412º
- French
- quatre cent douze· ordinal: quatre cent douzième
- Italian
- quattrocentododici· ordinal: 412º
- Latin
- quadringenti duodecim· ordinal: 412.
- Portuguese
- quatrocentos e doze· ordinal: 412º
Appears in sequences
- Number of positive integers <= 2^n of form 2 x^2 + 5 y^2.at n=11A000286
- Numbers beginning with letter 'f' in English.at n=36A000867
- Primes multiplied by 4.at n=26A001749
- Numbers k such that phi(2k+1) < phi(2k).at n=3A001837
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=64A002155
- a(0) = 1; for n > 0, a(n) = a(n-1) + floor(sqrt(a(n-1))).at n=43A002984
- Cluster series for square lattice.at n=7A003203
- Numbers that are the sum of 12 positive 4th powers.at n=53A003346
- Primes written in base 5.at n=27A004679
- a(n) = floor(n*phi^6), phi = golden ratio, A001622.at n=23A004921
- Noncototients: numbers k such that x - phi(x) = k has no solution.at n=41A005278
- Numbers k such that k^64 + 1 is prime.at n=5A006316
- Number of 4-dimensional polyominoes with n cells.at n=6A006767
- Partitioning integers to avoid arithmetic progressions of length 3.at n=52A006998
- Number of minimal unavoidable n-celled pebbling configurations.at n=7A007901
- Coordination sequence T2 for Zeolite Code AET.at n=14A008008
- Coordination sequence T1 for Zeolite Code AFG.at n=14A008012
- Coordination sequence T1 for Zeolite Code LTA and RHO.at n=16A008137
- Coordination sequence T4 for Zeolite Code MEI.at n=15A008149
- Coordination sequence T2 for Zeolite Code MEL.at n=13A008151