7863
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10488
- Proper Divisor Sum (Aliquot Sum)
- 2625
- 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
- 5240
- Möbius Function
- 1
- Radical
- 7863
- Omega Function (Ω)
- 2
- 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
- 83
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- G.f.: 1/((1-5x)(1-10x)(1-12x)).at n=3A020568
- Integer part of ((4th elementary symmetric function of 1,2,..,n)/(2nd elementary symmetric function of 1,2,...,n)).at n=24A024173
- 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 29.at n=33A031527
- First differences of A037260.at n=29A037261
- Number of primes between n*100000 and (n+1)*100000.at n=3A038825
- Numbers congruent to 2,3,6,11 mod 12 missing from A042944 (conjectured to be finite).at n=34A042945
- Numbers k such that k(3k-2) is an octagonal palindrome.at n=7A057106
- Numbers k that, when expressed in base 5 and then interpreted in base 7, give a multiple of k.at n=6A062929
- Expansion of (1-x)^(-1)/(1-2*x-x^2-2*x^3).at n=9A077848
- Bisection of A088567.at n=52A088585
- Total number of parts in all partitions of n with at least one distinct part.at n=21A220477
- Sum of smallest parts of all partitions of n into an odd number of parts.at n=34A222044
- Number of distinct values of the sum of i^2 over 7 realizations of i in 0..n.at n=34A225274
- Magic constants of the magic cubes 3 X 3 X 3 composed of prime numbers.at n=7A239671
- a(n) = prime(n)^3 mod (n^2 + prime(n)^2).at n=25A243769
- a(n) = 3*B*C*(n mod A) + 5*A*C*(n mod B) + 2*A*B*(n mod C) with A=7, B=11, C=17.at n=8A256668
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 473", based on the 5-celled von Neumann neighborhood.at n=21A272425
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 461", based on the 5-celled von Neumann neighborhood.at n=28A282369
- Discriminants of imaginary quadratic fields with class number 34 (negated).at n=31A351672
- The number of squarefree numbers whose largest prime divisor is prime(n) and that are averages of twin prime pairs.at n=21A354950