5537
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 6498
- Proper Divisor Sum (Aliquot Sum)
- 961
- 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
- 4704
- Möbius Function
- 0
- Radical
- 791
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 67
- 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
- no
- Odd
- yes
Appears in sequences
- Number of paraffins (see Losanitsch reference for precise definition).at n=13A006010
- Coordination sequence T3 for Zeolite Code EPI.at n=47A008092
- a(n) = floor(C(n,6)/7).at n=20A011797
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/21).at n=20A011931
- Pseudoprimes to base 48.at n=31A020176
- a(n) = 9^n-n^5.at n=4A024106
- Number of partitions of n with equal number of parts congruent to each of 1, 2 and 4 (mod 5).at n=55A035579
- T(2n+7,n), array T as in A051168; a count of Lyndon words.at n=7A050185
- T(n,7), array T as in A051168; a count of Lyndon words; aperiodic necklaces with 7 black beads and n-7 white beads.at n=14A051172
- Numbers k such that 80*R_k + 7 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=15A056695
- Numbers k such that Euler phi(k) / Carmichael lambda(k) = 14.at n=10A066696
- Average of three successive primes squared, (prime(n)^2+prime(n+1)^2+prime(n+2)^2)/3, n>=3.at n=17A075893
- Multiples of 7 using only prime digits (2, 3, 5 and 7).at n=35A077536
- Denominators of the convergents to the continued fraction of Pi^2/6.at n=9A080017
- Integer part of the third nesting of the logarithmic integral of 10^n.at n=6A096358
- Array read by antidiagonals: T(n,m) = Sum m^max(k,n-k),k=0..n.at n=59A107661
- Positive integers whose sixth power is the sum of seven sixth powers (smallest primitive solutions).at n=23A132410
- Positive integers whose sixth power is the sum of seven sixth powers (smallest primitive solutions).at n=24A132410
- Expansion of x^3*(x-1)*(x+1) / (x^5-2*x^4+x^2-1).at n=42A135990
- a(n) = 2*n^2 + 15*n.at n=49A139579