7203
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 11204
- Proper Divisor Sum (Aliquot Sum)
- 4001
- 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
- 4116
- Möbius Function
- 0
- Radical
- 21
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- 119
- 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
- Numbers that are the sum of 10 positive 7th powers.at n=35A003377
- Numbers of the form 3^i*7^j with i, j >= 0.at n=25A003594
- Somos-7 sequence: a(n) = (a(n-1) * a(n-6) + a(n-2) * a(n-5) + a(n-3) * a(n-4)) / a(n-7), a(0) = ... = a(6) = 1.at n=15A006723
- Numbers k that divide s(k), where s(1)=1, s(j)=9*s(j-1)+j.at n=33A014857
- Numbers k that divide s(k), where s(1)=1, s(j)=15*s(j-1)+j.at n=36A014865
- Numbers k such that k divides 4^k - 1.at n=37A014945
- Integers k such that k divides 22^k - 1.at n=45A014959
- Numbers k such that k | 5^k + 1.at n=35A015951
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite FAU = Faujasite (Na2,Ca,Mg)29 [ Al58Si134O384 ] . 240 H2O.at n=5A019016
- a(n) = (d(n)-r(n))/5, where d = A026043 and r is the periodic sequence with fundamental period (0,2,3,0,0).at n=44A026045
- Expansion of 1/((1-3x)(1-4x)(1-8x)(1-12x)).at n=3A028046
- Number of similarity classes of triangles which can be drawn using the lattice points in an n X n grid for vertices.at n=15A028492
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 7 (most significant digit on left).at n=45A029452
- [ exp(5/14)*n! ].at n=6A030919
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 56.at n=23A031554
- Triangle of coefficients of certain polynomials (exponents in decreasing order).at n=23A033842
- Numbers whose prime factors are 3 and 7.at n=12A033850
- Maximal base 7 run length is 4.at n=30A037991
- a(n)=(s(n)+3)/10, where s(n)=n-th base 10 palindrome that starts with 7.at n=42A043086
- Numbers whose base-7 representation contains exactly four 0's.at n=2A043396