5431
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5432
- 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
- 5430
- Möbius Function
- -1
- Radical
- 5431
- 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
- 98
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 717
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of 2-factors in C_5 X P_n.at n=4A003730
- Bosonic string states.at n=33A005308
- From George Gilbert's marks problem: jumping 5 marks at a time (initial positions).at n=11A019993
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=19A023271
- n written in fractional base 6/5.at n=19A024638
- a(0) = 13; for n > 0, a(n) is the greatest prime factor of PreviousPrime(a(n-1))*a(n-1)-1 where PreviousPrime(prime(k))=prime(k-1).at n=5A031442
- 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=11A031571
- Primes of form x^2+59*y^2.at n=31A033238
- Number of partitions in parts not of the form 11k, 11k+3 or 11k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 4 are greater than 1.at n=36A035946
- Numbers whose base-4 representation contains exactly four 1's and two 3's.at n=32A045131
- Primes whose consecutive digits differ by 1 or 2.at n=48A048413
- Primes of the form 30*p + 1 where p is also prime.at n=18A051646
- Primes with distinct digits in descending order.at n=31A052014
- Differences between numbers k such that k and k+1 have the same sum of divisors.at n=25A054001
- Second term of strong prime 5-tuples: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2).at n=15A054809
- Numbers k such that k^12 == 1 (mod 13^3).at n=29A056086
- Indices of primes in sequence defined by A(0) = 33, A(n) = 10*A(n-1) + 53 for n > 0.at n=9A056256
- The minimal number which has multiplicative persistence 8 in base n.at n=27A064872
- Smallest n-digit prime with strictly decreasing digits.at n=3A071360
- Dealing cards in a game of solitaire.at n=13A071761