451
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
- 4
- Divisor Sum
- 504
- Proper Divisor Sum (Aliquot Sum)
- 53
- 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
- 400
- Möbius Function
- 1
- Radical
- 451
- Omega Function (Ω)
- 2
- 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
- 53
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Names
- German
- vierhunderteinundfünfzig· ordinal: vierhunderteinundfünfzigste
- English
- four hundred fifty-one· ordinal: four hundred fifty-first
- Spanish
- cuatrocientos cincuenta y uno· ordinal: 451º
- French
- quatre cent cinquante et un· ordinal: quatre cent cinquante et unième
- Italian
- quattrocentocinquantuno· ordinal: 451º
- Latin
- quadringenti quinquaginta unus· ordinal: 451.
- Portuguese
- quatrocentos e cinquenta e um· ordinal: 451º
Appears in sequences
- Deceptive nonprimes: composite numbers k that divide the repunit R_{k-1}.at n=2A000864
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=11A001107
- Wedderburn-Etherington numbers: unlabeled binary rooted trees (every node has outdegree 0 or 2) with n endpoints (and 2n-1 nodes in all).at n=12A001190
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 20, 50 cents.at n=50A001313
- Smallest number with reciprocal of period length n in decimal (base 10).at n=10A003060
- Numbers that are the sum of 6 positive 4th powers.at n=34A003340
- Numbers that are the sum of 10 positive 6th powers.at n=7A003366
- Divisors of 2^20 - 1.at n=18A003529
- Divisors of 2^40 - 1.at n=24A003546
- Triangular numbers written backwards.at n=55A004158
- Tetrahedral numbers written backwards.at n=20A004161
- Divisible only by primes congruent to 1 mod 5.at n=23A004615
- Expansion of g.f.: (1+x^3)*(1+x^4)/((1-x)*(1-x^2)^2*(1-x^4)).at n=21A004657
- Numbers whose binary expansion ends in 011.at n=55A004769
- Numbers k such that 2*(2k-3)!/(k!*(k-1)!) is an integer.at n=47A004782
- a(n)=least number m such that m-a(n-1)<>a(j)-a(k) for all j,k less than m; a(1)=1, a(2)=3.at n=21A004979
- Sum of squares of Fibonacci numbers 1,2,3,5,... that divide n.at n=20A005093
- Number of fractions in Farey series of order n.at n=38A005728
- Pseudoprimes to base 10.at n=5A005939
- Number of paraffins.at n=12A005999