10451
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11952
- Proper Divisor Sum (Aliquot Sum)
- 1501
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8952
- Möbius Function
- 1
- Radical
- 10451
- 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
- 86
- Smith Number
- no
- Vampire 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
Appears in sequences
- Ceiling of Gamma(n+4/7)/Gamma(4/7).at n=8A020121
- Numbers k such that k*2^m-1 are composites for all exponents m in the range 0<=m<=k.at n=27A061154
- Least non-balanced x (i.e., not in A020492) such that sigma(2n-1,x)/phi(x) is an integer.at n=14A078539
- Least non-balanced x (i.e., not in A020492) such that sigma(p(n),x)/phi(x) is an integer, where p(n) = n-th prime.at n=10A078540
- Triangle read by rows: T(n,k) is the number of ordered trees having n edges and k branches of length 1.at n=71A101276
- Numbers k such that k^6+6 is prime.at n=40A109836
- Numbers n with property that n^2 is a concatenation of three 3-digit primes.at n=4A153139
- Number of 0..n arrays x(0..9) of 10 elements with zero 6th differences.at n=21A200333
- Number of composites removed in each step of the Sieve of Eratosthenes for 10^7.at n=28A227155
- Number of partitions of n containing m(1) as a part, where m denotes multiplicity.at n=38A240486
- Nonprimes such that it takes exactly 3 iterations of reverse-and-add digits to generate a prime.at n=8A245208
- Bihappy numbers: numbers that reach 1 under iteration of the sum-of-squares-of-two-digits map s_2.at n=37A257795
- E.g.f.: (1 + LambertW(-x))^(x/LambertW(-x)).at n=6A300014
- Sum of the sixth largest parts of the partitions of n into 9 squarefree parts.at n=55A326527
- Number of partitions p of n such that (number of numbers in p that have multiplicity 1) > (number of numbers in p having multiplicity > 1).at n=37A329976
- Number of ways to write n as an ordered sum of 7 primes (counting 1 as a prime).at n=18A341986
- Number of integer partitions of n with reverse-alternating product > 1.at n=37A347449
- Expansion of Product_{k>=1} (1 + x^k) * (1 + x^(k^2)) * (1 + x^(k^3)).at n=39A369575
- a(n) = (7*n^2-5*n+2)/2.at n=55A389608