8897
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 32
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10752
- Proper Divisor Sum (Aliquot Sum)
- 1855
- 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
- 7200
- Möbius Function
- -1
- Radical
- 8897
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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
- sec(cos(x)*arctan(x))=1+1/2!*x^2-15/4!*x^4+105/6!*x^6+8897/8!*x^8...at n=4A012507
- Numbers whose base-6 representation is the juxtaposition of two identical strings.at n=40A020334
- a(n) = integer nearest e*a(n-1), where a(0) = 1.at n=9A024581
- Quasi-Carmichael numbers to base 5: squarefree composites n such that (n,2*3) = 1 and prime p|n ==> p-5|n-5.at n=4A029558
- Divide natural numbers in groups with prime(n) elements and add together.at n=12A034957
- Second differences of partition numbers A000041.at n=53A053445
- Sum of digits = 8 times number of digits.at n=29A061425
- 2*3*5*6*...*a(n) -+ 1 are primes, with a(n+1) > a(n).at n=34A087900
- a(n) = -A065395(2^n).at n=17A092589
- Terms of A094302 without repetition.at n=41A094426
- Least number k such that k, k+n, k+2*n and k+3*n have the same number of divisors.at n=44A113468
- The bisection A053445(2n+1).at n=26A161921
- Numbers k such that k | sigma(k-1) + sigma(k+1).at n=7A186103
- Number of (n+4)X5 0..1 matrices with each 5X5 subblock idempotent.at n=7A224683
- T(n,k)=Number of (n+4)X(k+4) 0..1 matrices with each 5X5 subblock idempotent.at n=28A224690
- T(n,k)=Number of (n+4)X(k+4) 0..1 matrices with each 5X5 subblock idempotent.at n=35A224690
- a(n) = n*(19*n-15)/2.at n=31A226490
- a(n) = Sum_{k=0..floor(n/3)} binomial(n,3*k)*binomial(4*k,k)/(3*k+1).at n=12A226974
- a(n) = greatest k such that A155043(k+A262509(n)) < A155043(A262509(n)).at n=61A262909
- Numerator of the side lengths (legs in ascending order) of the easiest Pythagorean Triangle (with smallest hypotenuse) according to the congruent numbers A003273.at n=43A268602