2547
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 3692
- Proper Divisor Sum (Aliquot Sum)
- 1145
- 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
- 1692
- Möbius Function
- 0
- Radical
- 849
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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 primes < prime(n)^2.at n=35A000879
- Number of column-strict plane partitions of n.at n=12A005986
- Coordination sequence T2 for Scapolite.at n=32A008263
- Expansion of (1+x^9)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=56A008770
- Coordination sequence T1 for Zeolite Code VNI.at n=31A009907
- a(n) = n^2 + 3*n - 1.at n=49A014209
- Fibonacci sequence beginning 1, 28.at n=11A022398
- Place where n-th 1 occurs in A023117.at n=47A022779
- a(n) = [ a(n-1)/a(1) ] + [ a(n-3)/a(3) ] + [ a(n-5)/a(5) ] + ..., for n >= 3.at n=26A022866
- Numbers k such that Fib(k) == -34 (mod k).at n=20A023169
- a(n) = sum of the numbers between the two n's in A026346.at n=33A026349
- 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 49.at n=12A031547
- Numbers k such that k(k+1)(k+2)...(k+9) / (k+(k+1)+(k+2)+...+(k+9)) is an integer.at n=29A032782
- Cycle of 2 steps possible for 'concatenate a(n) and nextprime(a(n)) is a prime'.at n=20A034592
- Coordination sequence T5 for Zeolite Code SFF.at n=33A038436
- Sums of 5 distinct powers of 3.at n=35A038467
- a(n) = 6*a(n-1) - a(n-2) for n >= 2, with a(0)=3, a(1)=13.at n=4A038762
- Denominators of continued fraction convergents to sqrt(799).at n=5A042541
- Numbers n such that string 4,0 occurs in the base 9 representation of n but not of n-1.at n=35A044287
- Numbers k such that the string 4,4 occurs in the base 9 representation of k but not of k-1.at n=31A044291