10726
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16704
- Proper Divisor Sum (Aliquot Sum)
- 5978
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5160
- Möbius Function
- -1
- Radical
- 10726
- Omega Function (Ω)
- 3
- 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
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 k such that phi(k + 12) | sigma(k) for k not congruent to 0 (mod 3).at n=36A015850
- Table T(n,k) read by rows which contains in row n and column k the sum of A001055(A036035(n,j)) over all column indices j where A036035(n,j) has k distinct prime factors.at n=40A093936
- Where records occur in A039996.at n=10A178597
- First appearance of n in A039996: Primes embedded in prime(n).at n=12A179908
- Sum of largest parts of all partitions of n into an odd number of parts.at n=26A222047
- a(n) = n for n = 1, 2, 3; for n > 3: a(n) = number of partitions of n into preceding terms.at n=49A229362
- 25-gonal numbers: a(n) = n*(23*n-21)/2.at n=31A255184
- Composite numbers k such that k*phi(k) is in A002378.at n=12A256545
- 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=40A256634
- Numbers k such that f(k), f(k+1) and f(k+2) are all primes, where f(k) = (2k+1)^2 - 2 (A073577).at n=37A293620
- a(n) = 168*2^n - 26 (n>=1).at n=5A304384
- Number of essentially parallel achiral series-parallel networks with n elements.at n=13A339158
- Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} (k/2)^j * (2*j+1)^(n-j-1) / (j! * (n-2*j)!).at n=60A362483
- Centered pentagonal numbers which are products of three distinct primes.at n=9A364610
- Antidiagonal-sums of the array A175804(n,k) = n-th term of k-th differences of partition numbers (A000041).at n=14A377056
- Antidiagonal-sums of absolute value of the array A175804(n,k) = n-th term of k-th differences of partition numbers (A000041).at n=14A378621