5566
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 4010
- 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
- 2420
- Möbius Function
- 0
- Radical
- 506
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 116
- 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
- yes
- Odd
- no
Appears in sequences
- Pentagonal pyramidal numbers: a(n) = n^2*(n+1)/2.at n=22A002411
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=37A005598
- Even pentagonal pyramidal numbers.at n=16A015224
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=41A020397
- a(n) = n*(21*n + 1)/2.at n=23A022279
- a(1) = 7; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0.at n=29A025002
- a(n) = (1/2)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2).at n=46A028724
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=36A031802
- Multiplicity of highest weight (or singular) vectors associated with character chi_3 of Monster module.at n=49A034391
- a(n) = (9*n^2 + 3*n + 2)/2.at n=35A038764
- 1/2-Smith numbers.at n=33A050224
- Smallest multiple of n with no isolated digits.at n=45A052191
- Least k for which the integers Floor(k/(m*(m+1))) for m=1,2,...,n are distinct.at n=25A054061
- Numbers k such that k^16 == 1 (mod 17^3).at n=19A056088
- Number of divisors of n equals the average of distinct prime factors of n.at n=24A067547
- Write 0, 1, ..., n in binary and add as if they were decimal numbers.at n=12A067894
- Number of two-rowed partitions of length 5.at n=22A070558
- A unitary phi reciprocal amicable number: consider two different numbers r, s which satisfy the following equation for some integer k: uphi(r) = uphi(s) = (1/k) * r * s / (r-s); or equivalently, 1/uphi(r) = 1/uphi(s) = k * (1/s - 1/r); sequence gives r numbers.at n=8A080766
- Members of A000124 which are multiples of 11.at n=19A083511
- Numbers k such that k!!!!! + 1 is prime.at n=51A085148