10252
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19656
- Proper Divisor Sum (Aliquot Sum)
- 9404
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4640
- Möbius Function
- 0
- Radical
- 5126
- Omega Function (Ω)
- 4
- 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
- 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
- Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 0.at n=39A000931
- a(0) = 0, a(1) = a(2) = a(3) = 1; thereafter, a(n) = a(n-1) + a(n-2) + a(n-4).at n=19A005251
- Expansion of tanh(sin(log(1+x))).at n=9A009790
- Pisot sequences E(4,7), P(4,7).at n=14A010901
- Take every 5th term of Padovan sequence A000931, beginning with the fifth term.at n=7A012493
- Pisot sequences E(7,9), P(7,9).at n=26A020720
- Expansion of 1/(1 - 4*x + 2*x^2 + 4*x^3 - 2*x^4).at n=8A027831
- Binomial transform of Padovan sequence A000931.at n=13A034943
- G.f.: 1/((1-x)*(1-x^2))^5.at n=10A038165
- Base-7 palindromes that start with 4.at n=29A043018
- Expansion of (1+10*x+5*x^2)/(1-x)^10.at n=5A059601
- Expansion of (1 - x)/(1 - x^2 - x^3).at n=41A078027
- Number of A095286-primes in range ]2^n,2^(n+1)].at n=17A095296
- Number of A095314-primes in range ]2^n,2^(n+1)].at n=17A095334
- Number of n-th generation triangles in the tiling of the hyperbolic plane by triangles with angles {Pi/2, Pi/3, 0}.at n=29A096231
- Quadrisection of a Padovan sequence.at n=9A099098
- Padovan sequence for indices of the Beatty sequence of the tribonacci constant.at n=19A108168
- n(k) is the minimum n that requires at least k to make 2*Prime[n]+Prime[k] a prime.at n=44A114234
- Padovan numbers for which the digital root is also a Padovan number.at n=27A117598
- Padovan numbers for which the product of the digits is also a Padovan number.at n=17A117599