5115
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9216
- Proper Divisor Sum (Aliquot Sum)
- 4101
- 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
- 2400
- Möbius Function
- 1
- Radical
- 5115
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 59
- 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
- Divisors of 2^20 - 1.at n=32A003529
- Expansion of 1/((1-x)^3*(1-x^3)^2).at n=28A011779
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=39A013592
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=15A013593
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7).at n=29A017820
- Least modulus >= 3 having maximum run of n consecutive non-residues.at n=44A025034
- Palindromes of form k^2 + k + 3.at n=7A027715
- Palindromes whose digits do not appear in previous term.at n=32A030285
- Numbers that are palindromic and divisible by 5.at n=14A043040
- Numbers n such that lcm(sigma(n),phi(n)) is a perfect square.at n=34A043293
- Palindromic and divisible by 3.at n=50A045638
- Duplicate of A043040.at n=13A045640
- Largest palindromic substring in 9^n.at n=28A046267
- Palindromes with exactly 4 prime factors (counted with multiplicity).at n=29A046330
- Squarefree odd numbers with exactly 4 distinct prime factors.at n=25A046390
- Palindromes with exactly 4 distinct prime factors.at n=6A046394
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= n/2.at n=20A047169
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n-1)/2.at n=20A047180
- Extreme points of set of n X n symmetric substochastic matrices.at n=7A053553
- Palindromes that are the sum of consecutive initial odd primes.at n=2A058847