5396
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 4684
- 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
- 2520
- Möbius Function
- 0
- Radical
- 2698
- 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
- no
- 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
- a(n) = (7*n+1)*(7*n+6).at n=10A001526
- a(1) = 3; for n>0, a(n+1) = a(n) + floor((a(n)-1)/2).at n=20A003312
- Coordination sequence T2 for Moganite, also for BGB1.at n=47A008259
- 4-dimensional centered tetrahedral numbers.at n=12A008498
- Numbers k such that d(k) (number of divisors) divides phi(k) (Euler function) divides sigma(k) (sum of divisors).at n=48A020493
- Sums of 5 distinct powers of 4.at n=17A038473
- Numerators of continued fraction convergents to sqrt(269).at n=4A041504
- Numerators of continued fraction convergents to sqrt(313).at n=6A041590
- Numbers k such that sigma(k) - k = k - pi(k) - 1 where pi(k) is A000720.at n=7A048884
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = a(3) = 2.at n=44A050045
- Numbers k such that phi(k)*d(k) is a multiple of sigma(k), where d(k) is the number of divisors of k.at n=26A050934
- Numbers k such that k and its reversal are both multiples of 19.at n=18A062907
- Non-palindromic number and its reversal are both multiples of 19.at n=9A062916
- Numbers n such that the arithmetic, geometric and harmonic means of phi(n) and sigma(n) are all integers.at n=10A065146
- Numbers k such that sigma(k) = bigomega(k) * phi(k).at n=7A067238
- Numbers k such that sigma(k) = 4*phi(k).at n=9A068390
- Numbers k such that sigma(k) = phi(k*bigomega(k)).at n=6A068400
- Balanced numbers k such that 2*k is not a balanced number (k is in A020492, 2*k is not).at n=43A076484
- a(n) = (5*n+1)*(5*n+6).at n=14A085025
- G.f. = (1 + 4 * g.f. for A096661)/(1 + 2 Sum_{m>=1} (-1)^m*q^(m^2)).at n=51A097042