10264
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19260
- Proper Divisor Sum (Aliquot Sum)
- 8996
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5128
- Möbius Function
- 0
- Radical
- 2566
- 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
- 55
- Smith Number
- no
- Vampire 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
Appears in sequences
- Coordination sequence for MgNi2, Position Mg2.at n=25A009935
- a(n) = floor(binomial(n,9)/9).at n=19A011855
- Numbers k such that the continued fraction for sqrt(k) has period 98.at n=9A020437
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 25.at n=37A031523
- Numbers with exactly five distinct base-10 digits.at n=19A031987
- Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x.at n=14A047826
- (A047926(n)-A091588(n))/2.at n=12A094176
- Terms in a specific cycle of length 29 of the map x->A098189(x).at n=28A098192
- Number of steps until the RADD sequence T(k+1) = n + R(T(k)), T(0) = 1, enters a cycle; -1 if no cycle is ever reached. (R=A004086: reverse digits).at n=101A117816
- a(n) = a(n-1) + a(n-2) + digsum(a(n-1)) + digsum(a(n-2)), with a(0)=0 and a(1)=1.at n=16A140131
- Similar to A072921 but starting with 5.at n=42A152234
- Table of the numerators of the fractions of Bernoulli twin numbers and their higher-order differences, read by antidiagonals.at n=75A168516
- Positive integers of the form (7*m^2+1)/11.at n=23A179370
- For positive n with prime decomposition n = Product_{j=1..m} (p_j^k_j) define A_n = Sum_{j=1..m} (p_j*k_j) and B_n = Sum_{j=1..m} (p_j^k_j). This sequence gives those n for which A_n and B_n are both prime and B_n = A_n + 2 (i.e., form a twin prime pair).at n=23A185718
- Total sum of the smallest part of every partition of every shell of n.at n=24A196039
- Number of 0..n arrays x(0..4) of 5 elements with zero 3rd differences.at n=42A200083
- Number of partitions of n such that (least part) > (multiplicity of least part).at n=49A240176
- Array read by antidiagonals: numerators of the core of the classical Bernoulli numbers.at n=53A240581
- Numbers n such that phi(n') = phi(n)', where phi(n) is the Euler totient function of n and n' is the arithmetic derivative of n.at n=48A260961
- Minimum value of the cyclic autocorrelation of first n primes.at n=17A299053