8887
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8888
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 8886
- Möbius Function
- -1
- Radical
- 8887
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 96
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1107
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numerator of [x^(2n+1)] in the Taylor expansion arcsin(cosec(x)-cot(x)) = x/2 + x^3/16 + 3*x^5/256 + 83*x^7/30720 + 8887*x^9/12386304 + ...at n=4A013518
- Primes that contain digits 7 and 8 only.at n=5A020470
- Cube of the lower triangular normalized 2nd kind Stirling matrix.at n=6A027496
- First column of A027496.at n=3A027510
- Primes p such that p+1 is palindromic.at n=26A028981
- Numbers k such that k^2 is palindromic in base 3.at n=42A029984
- 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 93.at n=20A031591
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=30A031816
- Upper prime of a difference of 20 between consecutive primes.at n=13A031939
- Smallest prime containing exactly n 8's.at n=3A037069
- Numbers having three 8's in base 10.at n=31A043523
- Primes whose decimal expansion is a concatenation of two or more consecutive decreasing numbers (no leading zeros allowed).at n=9A052088
- Primes formed by concatenating k with k-1.at n=9A052089
- Primes p from A031924 such that A052180(primepi(p)) = 17.at n=10A052234
- Number of perfect simple undirected graphs on n nodes.at n=7A052431
- Near-repdigit primes such that all digits are equal except for an end-digit.at n=49A056710
- Primes of the form bbbbba... where a and b are digits.at n=48A062353
- Number of inequivalent (ordered) solutions to n^2 = sum of 7 squares of integers >= 0.at n=45A065461
- Smallest prime beginning with exactly n 8's.at n=3A065591
- Primes in which neighboring digits differ at most by 1.at n=35A068148