9503
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11088
- Proper Divisor Sum (Aliquot Sum)
- 1585
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8064
- Möbius Function
- -1
- Radical
- 9503
- 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
- 153
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NES = NU-87 H4[Al4Si64O136].nH2O starting with a T4 atom.at n=12A019205
- a(1) = 4; a(n) = smallest composite number of the form k*a(n-1) + 1.at n=47A061766
- Numbers k such that k and k+1 have the same sum of unitary divisors (A034448).at n=24A064125
- Nonprimes m such that phi(m)*sigma(m) is divisible by m+1.at n=36A065148
- Composite k such that (k+1) * Sum_{d|k} d/sigma(d) is an integer.at n=9A068975
- Consider the family of directed multigraphs enriched by the species of endofunctions. Sequence gives number of those multigraphs with n labeled loops and arcs.at n=4A099710
- Triangle read by rows: T(n,k) is the number of k-matchings in the P_3 X P_n lattice graph.at n=32A100245
- Start with 1 and repeatedly reverse the digits and add 64 to get the next term.at n=25A118159
- The first 8 values are predefined, the remaining set to a(n) = 48*prime(n)+n+2.at n=44A129025
- Numbers k such that k and k^2 use only the digits 0, 3, 5, 7 and 9.at n=6A136940
- Products of 3 distinct non-Sophie Germain primes.at n=41A157347
- a(n) = 288*n - 1.at n=32A157997
- a(n) = 66*n^2 - 1.at n=11A158693
- a(n) = (6 + 10*n + 5*n^2 + n^3)/2.at n=25A164845
- Multiples of 17 whose reversal + 1 is also a multiple of 17.at n=30A166391
- G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^(n^3).at n=6A191805
- Odd composite numbers k that divide the imaginary part of (1+2i)^A201629(k).at n=30A213337
- Number of nX7 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing.at n=1A223917
- T(n,k)=Number of nXk 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing.at n=29A223918
- Number of 2 X n 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing.at n=6A223919