10432
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
- 14
- Divisor Sum
- 20828
- Proper Divisor Sum (Aliquot Sum)
- 10396
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 326
- Omega Function (Ω)
- 7
- 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
- 29
- 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
- Positive numbers k such that k and 3*k are anagrams in base 5 (written in base 5).at n=5A023062
- Positive numbers k such that k and 2*k are anagrams in base 6 (written in base 6).at n=2A023064
- Positive numbers k such that k and 3*k are anagrams in base 6 (written in base 6).at n=2A023065
- Positive numbers k such that k and 4*k are anagrams in base 6 (written in base 6).at n=1A023066
- Numbers with 14 divisors.at n=42A030632
- 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 51.at n=26A031549
- Gaps of 7 in sequence A038593 (lower terms).at n=28A038653
- Gaps of 10 in sequence A038593 (upper terms).at n=7A038660
- Numbers ending with '2' that are the difference of two positive cubes.at n=27A038857
- Number of partitions satisfying cn(1,5) <= cn(0,5) and cn(4,5) <= cn(0,5).at n=43A039862
- Numbers k such that phi(x) = k has exactly 12 solutions.at n=31A060675
- Euler's totient of numbers containing in their decimal representation only the digits 0 and 1.at n=28A077811
- Expansion of e.g.f.: exp(2*x)/(1-2*x).at n=5A082032
- Minimal peaks in digital expansions of Pi: positions of peaks equal to 1.at n=11A105275
- Triangular sequence of coefficients of the expansion of a degenerate partition of Chebyshev U(x,n);A053117 and Hermite H(x,n);A060821 functions: 1) f(x,t)=1/(1-2*x*t+t^2); 2) g(x,t)=Exp[2*x*t-t^2]; to give: p(x,t)=Exp[2*x*t-t^2]/(1-2*x*t+t^2).at n=20A137862
- a(1)=1, a(n)=a(n-1)+n^1 if n odd, a(n)=a(n-1)+ n^3 if n is even.at n=15A140145
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0) and consisting of n steps taken from {(-1, 0), (1, 0), (1, 1)}.at n=9A151281
- a(n) = Sum_{k=0..n} A109613(k)*A005843(n-k).at n=31A171218
- Numbers with prime factorization p*q^6.at n=41A189987
- Numbers whose digits are a permutation of (0,...,m) for some m.at n=29A199168