2574
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
- 24
- Divisor Sum
- 6552
- Proper Divisor Sum (Aliquot Sum)
- 3978
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 720
- Möbius Function
- 0
- Radical
- 858
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 146
- 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
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^9 in powers of x.at n=26A001487
- Take solution to Pellian equation x^2 - n*y^2 = 1 with smallest positive y and x >= 0; sequence gives a(n) = y, or 0 if n is a square. A002350 gives values of x.at n=57A002349
- Numbers that are the sum of 12 positive 6th powers.at n=42A003368
- Numbers that are the sum of 7 positive 7th powers.at n=11A003374
- Degrees of irreducible representations of alternating group A_13.at n=18A003868
- Degrees of irreducible representations of alternating group A_13.at n=19A003868
- Degrees of irreducible representations of symmetric group S_13.at n=34A003877
- Degrees of irreducible representations of symmetric group S_13.at n=33A003877
- Degrees of irreducible representations of symmetric group S_13.at n=35A003877
- Degrees of irreducible representations of symmetric group S_13.at n=36A003877
- a(n) = n*(n+4)*(n+5)/6.at n=22A005586
- Number of strict (-1)st-order maximal independent sets in path graph.at n=15A007382
- Coordination sequence T2 for Zeolite Code ERI.at n=37A008094
- Coordination sequence T4 for Zeolite Code LTN.at n=35A008143
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12).at n=37A017843
- Expansion of 1/(1 - x^11 - x^12 - ...).at n=63A017905
- Expansion of Product_{m>=1} (1+m*q^m)^22.at n=3A022650
- Least k such that k and 4k are anagrams in base n (written in base 10).at n=22A023096
- a(n) is least k such that k and 7k are anagrams in base n (written in base 10).at n=4A023099
- Theta series of A*_12 lattice.at n=20A023924