2715
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4368
- Proper Divisor Sum (Aliquot Sum)
- 1653
- 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
- 1440
- Möbius Function
- -1
- Radical
- 2715
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 97
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Powers of rooted tree enumerator.at n=11A000439
- Coordination sequence T4 for Zeolite Code LTN.at n=36A008143
- Coordination sequence T9 for Zeolite Code MFI.at n=33A008172
- Coordination sequence T1 for Zeolite Code VET.at n=31A009902
- Number of Barlow packings with group P3(bar)m1(SO) that repeat after 2n-1 layers.at n=13A011950
- [ sqrt(3/2)^n ].at n=39A014215
- Nearest integer to Gamma(n + 7/9)/Gamma(7/9).at n=7A020020
- Ceiling of Gamma(n + 7/9)/Gamma(7/9).at n=7A020110
- Fibonacci sequence beginning 3, 17.at n=12A022127
- Lucky numbers with size of gaps equal to 10 (lower terms).at n=27A031892
- Lucky numbers with size of gaps equal to 18 (upper terms).at n=19A031901
- a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=1, a(2)=2.at n=24A033500
- Numbers whose square contains no loops in its digits (assumes 1, 2, 3, 5, 7 have no loops and 0, 4, 6, 8, 9 do).at n=34A034905
- a(n)=(s(n)+3)/8, where s(n)=n-th base 8 palindrome that starts with 5.at n=37A043069
- Numbers k such that string 3,3 occurs in the base 8 representation of k but not of k-1.at n=42A044214
- Numbers n such that string 4,6 occurs in the base 9 representation of n but not of n-1.at n=37A044293
- Numbers n such that string 1,5 occurs in the base 10 representation of n but not of n-1.at n=30A044347
- Numbers n such that string 4,6 occurs in the base 9 representation of n but not of n+1.at n=37A044674
- Numbers n such that string 1,5 occurs in the base 10 representation of n but not of n+1.at n=30A044728
- Numbers whose base-4 representation contains no 0's and exactly four 2's.at n=37A045041