10983
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16768
- Proper Divisor Sum (Aliquot Sum)
- 5785
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6264
- Möbius Function
- -1
- Radical
- 10983
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 99
- 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
- no
- Odd
- yes
Appears in sequences
- Number of compositions of n into a sum of odd primes.at n=42A002124
- Numbers k such that k, k+1, k+2 and k+3 have the same number of divisors.at n=8A006601
- arctanh(exp(x)-sech(x))=x+2/2!*x^2+3/3!*x^3+20/4!*x^4+165/5!*x^5...at n=7A013340
- Number of partitions of n into parts not of the form 17k, 17k+7 or 17k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=35A035968
- Sets of 4 consecutive numbers with equal number of divisors.at n=32A039665
- Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n.at n=28A063048
- Interprimes (A024675) which are of the form s*prime, s=21.at n=27A075296
- Sums of terms of groups in A075621.at n=27A075625
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k.at n=29A088753
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=28A089493
- a(n) = (1/24)*(n+1)*(n+6)*(n^3+26*n^2+225*n+636).at n=7A090948
- 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, -1), (-1, -1, 0), (-1, 1, -1), (0, 1, 0), (1, 0, 1)}.at n=8A149993
- G.f. satisfies: A(x) = x + 3*x*A(x) + 6*x*A(x)*A(A(x)) + 10*x*A(x)*A(A(x))*A(A(A(x))) +...at n=5A153305
- a(n) = 25*n^2 - 2*n.at n=20A154376
- a(n) = 289n + 1.at n=37A158255
- a(n) = 38*n^2 + 1.at n=17A158593
- Sum of the trapezoid weights of all peakless Motzkin paths of length n (n>=0).at n=13A171853
- Numbers k such that 25*k+1 is a square.at n=41A219259
- a(n) = number of primes of the form k^n - m^k where k > m > 0.at n=33A242113
- Numbers m, such that the smallest prime factor of 1+78557*2^m doesn't belong to the covering set {3, 5, 7, 13, 19, 37, 73}.at n=32A258095