10215
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17784
- Proper Divisor Sum (Aliquot Sum)
- 7569
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5424
- Möbius Function
- 0
- Radical
- 3405
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 148
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n^3 + (n+1)^3 + (n+2)^3.at n=14A027602
- Starting term of the smallest n-chain of numbers whose squares are permutations of the same digits.at n=16A085546
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, -1), (-1, 1, 1), (1, 0, 0)}.at n=10A148070
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, 1, 1), (1, -1, 0), (1, 0, -1)}.at n=8A149060
- Numerator of Euler(n, 4/23).at n=3A156941
- a(n) = n*(2 + 5*n).at n=45A168668
- Smallest k such that the fundamental unit (x+y*w) or (x+y*w)/2 of the real quadratic field Q(sqrt(k)) obeys gcd(k,y)=n.at n=43A197170
- a(n) = (prime(n) - 1)*(prime(n+1) - 1)/2 + 3.at n=33A201498
- Number of (w,x,y,z) with all terms in {1,...,n} and w+y=|x-y|+|y-z|.at n=27A212677
- Numbers with exactly 12 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=30A213319
- Partial sums of A253086.at n=46A255150
- a(n) is the n-th b > 1 such that p = prime(n) satisfies b^(p-1) == 1 (mod p^2).at n=43A280721
- Moments of the ternary Cantor measure (numerators).at n=6A308612
- The fixed points of A355702.at n=25A356017
- The number of spanning trees of the ladder graph L_n up to automorphisms of L_n.at n=8A363165
- Number of solid partitions of n with 4 parts.at n=32A387997