2507
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2640
- Proper Divisor Sum (Aliquot Sum)
- 133
- 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
- 2376
- Möbius Function
- 1
- Radical
- 2507
- Omega Function (Ω)
- 2
- 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
- yes
- Squarefree Number
- yes
- 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 bicentered 3-valent (or boron, or binary) trees with n nodes.at n=17A000673
- Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.at n=25A002597
- Numbers that are the sum of 8 positive 6th powers.at n=29A003364
- Coordination sequence T1 for Zeolite Code AEL.at n=33A008004
- Coordination sequence T2 for Zeolite Code AEL.at n=33A008005
- Coordination sequence T1 for Zeolite Code LTL.at n=37A008138
- Coordination sequence T5 for Zeolite Code MEL.at n=32A008154
- a(n) = floor(n*(n-1)*(n-2)/7).at n=27A011889
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly five 1's.at n=23A020441
- Number of Dyck n-paths with ascents and descents of length equal to 1 (mod 4).at n=18A023427
- a(n) = Sum{T(n,k)}, k = 0,1,...,n, where T is the array in A026148.at n=8A026164
- Positions of record values in A030777.at n=44A030782
- Number of functions of n points with no fixed points and with no symmetries.at n=11A032178
- Multiplicity of highest weight (or singular) vectors associated with character chi_93 of Monster module.at n=34A034481
- Friedman numbers: can be written in a nontrivial way using their digits and the operations + - * / ^ and concatenation of digits (but not of results).at n=37A036057
- Positive numbers having the same set of digits in base 3 and base 7.at n=44A037419
- Numbers whose base-7 representation contains exactly three 1's.at n=37A043399
- Numbers n such that string 1,3 occurs in the base 8 representation of n but not of n-1.at n=44A044198
- Numbers k such that the string 8,5 occurs in the base 9 representation of k but not of k-1.at n=33A044328
- Numbers k such that the string 0,7 occurs in the base 10 representation of k but not of k-1.at n=26A044339