5487
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
- 8
- Divisor Sum
- 7680
- Proper Divisor Sum (Aliquot Sum)
- 2193
- 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
- 3480
- Möbius Function
- -1
- Radical
- 5487
- 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
- 54
- 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
- Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n^3 + 3*n^2 + 8*n)/6 (n > 0).at n=31A003600
- Expansion of Product_{m >=1} (1+q^m)^31.at n=3A022595
- Values of Newton-Gregory forward interpolating polynomial (1/3)*(2*n-7)*(2*n^2-11*n+18).at n=19A030434
- Values of Newton-Gregory forward interpolating polynomial (1/3)*(2*n - 3)*(2*n^2 - 3*n + 4).at n=17A030441
- 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 23.at n=29A031521
- Lucky numbers with size of gaps equal to 14 (upper terms).at n=26A031897
- Number of partitions satisfying 0 < cn(0,5) + cn(2,5) + cn(3,5).at n=30A039899
- Denominators of continued fraction convergents to sqrt(815).at n=11A042573
- Numbers whose base-4 representation contains exactly four 1's and two 3's.at n=35A045131
- Odd composite numbers divisible by the sum of their prime factors (counted with multiplicity).at n=19A046347
- McKay-Thompson series of class 48A for Monster.at n=51A058691
- Primitive subsequence of A066031: terms of A066031 which are not a multiple of some previous terms.at n=40A064623
- a(n) = sum_{k=1..n} prime(k)*prime(k+1).at n=11A074745
- Square root of coefficients of power series: A083352(x)^2 + A083352(x) - 1; term-by-term square root of A083353.at n=73A083354
- Numbers n such that (A006530(n) + A020639(n))/2 is an integer, divides n and it is not a power of prime number: it has at least 2 distinct prime factors. Special terms of A088948.at n=38A088595
- Expansion of (1+2*x+4*x^2+8*x^3)/(1-x-16*x^5).at n=12A098582
- a(n) = 2*a(n-1) - a(n-2) + 2*(prime(n+1)-prime(n)); a(1) = 2, a(2) = 3.at n=37A122263
- Composite numbers that are products of distinct primes and divisible by the sum of those primes.at n=20A131647
- Number of binary words of length n containing at least one subword 101 and no subword 11.at n=18A143281
- a(n) = 392*n - 1.at n=13A158004