2536
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4770
- Proper Divisor Sum (Aliquot Sum)
- 2234
- 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
- 1264
- Möbius Function
- 0
- Radical
- 634
- Omega Function (Ω)
- 4
- 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
- 40
- 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
- High temperature series for susceptibility for spherical model on b.c.c. lattice.at n=4A003494
- Coordination sequence T2 for Zeolite Code AFT.at n=38A008027
- Powers of sqrt(23) rounded down.at n=5A017973
- Powers of fourth root of 23 rounded down.at n=10A018111
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=14A020385
- Expansion of Product_{m >= 1} (1 + q^m)^(-2).at n=44A022597
- Numbers k such that Fib(k) == -21 (mod k).at n=25A023168
- 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 25.at n=12A031523
- Multiplicity of highest weight (or singular) vectors associated with character chi_162 of Monster module.at n=36A034550
- Numbers n such that string 2,7 occurs in the base 9 representation of n but not of n-1.at n=35A044276
- Numbers n such that string 3,6 occurs in the base 10 representation of n but not of n-1.at n=28A044368
- Numbers n such that string 2,7 occurs in the base 9 representation of n but not of n+1.at n=35A044657
- Numbers n such that string 3,6 occurs in the base 10 representation of n but not of n+1.at n=28A044749
- Discriminants of imaginary quadratic fields with class number 14 (negated).at n=28A046011
- Numbers k such that k*2^k - k - 1 is prime.at n=15A046843
- Handsome numbers (A007532) representable as a sum of any positive powers of their digits in two distinct ways, not counting different powers of duplicated digits as distinct.at n=15A050240
- Handsome numbers (A007532) representable in exactly two distinct ways (counting different powers of duplicated digits as distinct).at n=34A050241
- Number of n-digit numbers with nonzero multiplicative digital root 8.at n=3A051819
- 23-gonal numbers: a(n) = n(21n-19)/2.at n=16A051875
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(2)).at n=41A052476