10280
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23220
- Proper Divisor Sum (Aliquot Sum)
- 12940
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4096
- Möbius Function
- 0
- Radical
- 2570
- Omega Function (Ω)
- 5
- 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
- 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
- Numbers whose base-4 representation contains exactly three 0's and four 2's.at n=12A045056
- Numbers n such that n through n+5 have the same number of distinct prime factors.at n=13A045934
- Numbers n such that n through n+6 are divisible by the same number of distinct primes.at n=6A045935
- Open 3-dimensional ball numbers (version 3): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2,1/2,0).at n=27A053595
- Numbers k such that sigma(phi(k)) is a prime.at n=27A062514
- Numbers m such that phi(m) = tau(m)^3.at n=11A068559
- Solutions to phi(gpf(x)) - gpf(phi(x)) = 254 = c are special multiples of 257, x = 257k, where largest prime factors of factor k were observed from {2, 3, 5, 17}. See solutions to other even cases of c (=A070813): A007283 for 0, A070004 for 2, A070814 for 14, A070816 for 65534.at n=17A070815
- Sum of terms in n-th row of A077316.at n=19A077318
- Numbers k such that phi(k) is a perfect sixth power.at n=16A078166
- a(n) is the first number in the first run of at least n successive numbers, all having exactly 3 distinct prime factors.at n=6A080569
- Structured hexagonal diamond numbers (vertex structure 5).at n=19A100178
- a(n) = n^3 + 114 * n.at n=19A122562
- Ramanujan numbers (A000594) read mod 23^3.at n=30A126847
- Partial sums of ceiling(n^2/2) (A000982).at n=39A131941
- a(1)=1, a(n)=a(n-1)+n if n odd, a(n)=a(n-1)+ n^2 if n is even.at n=38A140113
- a(n) = (p(n)*p(n+1)-p(n+2))/2, where p(n) is the n-th odd prime.at n=32A152527
- Number of binary strings of length n with no substrings equal to 0001 or 0011.at n=16A164393
- Numbers that have 9 terms in their Zeckendorf representation.at n=21A179249
- Initial term of first run of exactly n consecutive numbers with 3 distinct prime factors.at n=6A185032
- a(0)=1; for n>0, p2(n)+Sum(binomial(2*k,k)*p2(n-k)/2,k=1..n-1) where p2 = A002995, the number of unlabeled planar trees on n nodes.at n=9A191280