10275
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17112
- Proper Divisor Sum (Aliquot Sum)
- 6837
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5440
- Möbius Function
- 0
- Radical
- 2055
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2; |s(i) - s(i-1)| <= 1 for i >= 3, s(n) = 1. Also a(n) = T(n,n-1), where T is the array defined in A024996.at n=10A024998
- Numbers with exactly five distinct base-10 digits.at n=26A031987
- Numbers m such that there are precisely 3 groups of order m.at n=42A055561
- Larger terms of the pairs (a < b) in the sequence {a,b}-> {Max[{a,b}]-Min[{a,b}],k*Min[{a,b}]} with k=3 and the first pair {a=1,b=2}. See A075256.at n=37A075258
- Number of Motzkin paths of length n, starting with an up step, ending with a down step and having no peaks (can be easily expressed using RNA secondary structure terminology).at n=15A097779
- Coefficients in the expansion of C/B^2, in Watson's notation of page 106.at n=18A160461
- Least k such that 2^x - k produces primes or negative values of primes for x=1..n and (possibly in absolute value) composite for x=n+1.at n=5A198291
- Number of (n+1)X3 0..3 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order.at n=2A205434
- Number of (n+1)X4 0..3 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order.at n=1A205435
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order.at n=7A205440
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order.at n=8A205440
- Number of self-inverse permutations in S_n with longest increasing subsequence of length 7.at n=5A217327
- Number of length 3 0..n arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean.at n=23A244906
- Numbers n such that the decimal expansions of both n and n^2 have 0 as smallest digit and 7 as largest digit.at n=33A256634
- Bihappy numbers: numbers that reach 1 under iteration of the sum-of-squares-of-two-digits map s_2.at n=35A257795
- Numbers n which are both happy (A007770) and bihappy (A257795) numbers.at n=20A257950
- Number of non-isomorphic set-systems of weight n with at least one singleton.at n=12A330053
- Cardinality of set M_1 of multifold spreads.at n=3A335178
- Number of integer partitions of n whose length is not a semi-sum of the parts.at n=36A367398
- Expansion of (1/x) * Series_Reversion( x / (1+x) * (1-x^3)^2 ).at n=10A369399