456
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
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 1200
- Proper Divisor Sum (Aliquot Sum)
- 744
- 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
- 144
- Möbius Function
- 0
- Radical
- 114
- Omega Function (Ω)
- 5
- 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
- 35
- 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
- vierhundertsechsundfünfzig· ordinal: vierhundertsechsundfünfzigste
- English
- four hundred fifty-six· ordinal: four hundred fifty-sixth
- Spanish
- cuatrocientos cincuenta y seis· ordinal: 456º
- French
- quatre cent cinquante-six· ordinal: quatre cent cinquante-sixième
- Italian
- quattrocentocinquantasei· ordinal: 456º
- Latin
- quadringenti quinquaginta sex· ordinal: 456.
- Portuguese
- quatrocentos e cinquenta e seis· ordinal: 456º
Appears in sequences
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=49A000118
- a(n) = floor(n^2/3).at n=37A000212
- Number of outcomes of unlabeled n-team round-robin tournaments.at n=7A000568
- Number of partitions of n into prime parts.at n=44A000607
- a(n) = (n+1)!/2 + (n-1)(n-1)!.at n=4A000780
- Numbers that are the sum of 2 successive primes.at n=48A001043
- Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...at n=24A001082
- Number of nontrivial Baxter permutations of length 2n-1.at n=6A001185
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=22A001307
- Blocks of increasing length using 1,2,3,...,9,10; omit leading 0's.at n=2A001369
- Decimal concatenation of n, n+1, and n+2.at n=4A001703
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=24A001859
- Number of series-reduced planted trees with n+9 nodes and 4 internal nodes.at n=9A001860
- Eighth column of quadrinomial coefficients.at n=3A001919
- Sum_{n>=0} a(n)*x^n/n!^2 = -log(BesselJ(0,2*sqrt(x))).at n=5A002190
- Numbers k such that 57*2^k + 1 is prime.at n=16A002274
- Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5*n-2)/6.at n=8A002413
- Expansion of 1/(1-2*x^2-3*x^3).at n=11A002447
- a(n) = (number of nonisomorphic nontransitive prime tournaments on n nodes) - Moebius(n).at n=6A002638
- Number of partitions of n into parts 1/2, 3/4, 7/8, 15/16, etc.at n=11A002843