5479
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5480
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 5478
- Möbius Function
- -1
- Radical
- 5479
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 191
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 724
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 92.at n=8A020431
- Let q_k = p*(p+2) be product of k-th pair of twin primes; sequence gives values of p+2 such that (q_k)^2 > q_{k-i}*q_{k+i} for all 1 <= i <= k-1.at n=37A021007
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-8).at n=20A023438
- 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 73.at n=14A031571
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=32A031800
- Number of days in n years (n=3 is the first leap year).at n=14A033172
- Number of days in n years (n=2 is the first leap year).at n=14A033173
- Number of days in n years (n=1 is the first leap year).at n=14A033174
- Number of bipartite graphs with n nodes.at n=10A033995
- Multiplicity of highest weight (or singular) vectors associated with character chi_29 of Monster module.at n=36A034417
- Let a (resp. b,c,d) be number of primes in the range {2..p} that end in 1 (resp. 3,7,9); sequence gives p such that a=d and b=c.at n=38A038562
- Primes p such that both p-2 and 2p-1 are prime.at n=34A038869
- Row 5 of square array defined in A047671.at n=6A047674
- Primes of the form k^2 + 3.at n=14A049423
- Primes p for which the exponent of the highest power of 2 dividing p! is equal to prevprime(prevprime(p)).at n=22A064396
- Primes > 1000 in which every substring of length 3 is also prime.at n=37A069489
- Number of wide partitions of n.at n=42A070830
- Middle members of prime triples {p, p+2, p+6}.at n=42A073648
- Primes p such that p + 4 is prime and p == 9 (mod 10).at n=38A074822
- Number of balanced numbers > 2^(n-1) and <= 2^n.at n=35A078555