4715
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6048
- Proper Divisor Sum (Aliquot Sum)
- 1333
- 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
- 3520
- Möbius Function
- -1
- Radical
- 4715
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 103
- 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
- Coordination sequence T6 for Zeolite Code VNI.at n=42A009912
- a(n) = n*(9*n-2).at n=23A013656
- Coordination sequence T6 for Zeolite Code TER.at n=46A016438
- Fibonacci sequence beginning 2, 19.at n=13A022119
- a(n) = position of n^3 + 9 in A003072.at n=34A024971
- Number of ways to partition n labeled elements into pie slices allowing the pie to be turned over.at n=7A032262
- Multiplicity of highest weight (or singular) vectors associated with character chi_76 of Monster module.at n=35A034464
- Multiplicity of highest weight (or singular) vectors associated with character chi_96 of Monster module.at n=42A034484
- 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=47A034905
- Number of primitive (aperiodic) reversible string structures with n beads using exactly three different colors.at n=9A056337
- Numbers k such that phi((prime(k)-1)/2) = sigma(k).at n=25A068474
- Group successively larger composite numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum of the terms in the n-th group.at n=40A074120
- Concatenation of n-th prime and n in decimal notation.at n=14A075110
- Numbers n such that (A006530(n) + A020639(n))/2 is an integer, divides n and it is not a power of prime number: it has at least 2 distinct prime factors. Special terms of A088948.at n=33A088595
- Number of primes less than 10^n which do not contain the digit 3.at n=4A091637
- Numerator of a(n)/2^A005187(n-1), the n-th row sums of A096651^(1/2), with a(0)=1.at n=7A096742
- sigma(n) plus the n-th prime gives a square.at n=34A114082
- First value for longest side common to exactly n primitive Heronian triangles.at n=48A120130
- Numbers of unstrained alkane staggered conformers (acyclic). See Table 4 of Cyvin et al. reference for precise definition.at n=6A126878
- Numbers of the form 9*h^2 + 2*h, for h an integer.at n=45A132355