4924
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8624
- Proper Divisor Sum (Aliquot Sum)
- 3700
- 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
- 2460
- Möbius Function
- 0
- Radical
- 2462
- Omega Function (Ω)
- 3
- 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
- 72
- 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
- Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among pairs.at n=27A015663
- Coordination sequence T3 for Zeolite Code OSI.at n=46A016432
- Numbers k such that the continued fraction for sqrt(k) has period 100.at n=2A020439
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...).at n=13A024591
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (F(2), F(3), F(4), ...).at n=12A025105
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=10A031814
- a(n)-th prime is the smallest prime containing exactly n 7's.at n=4A037066
- Numbers whose maximal base-6 run length is 4.at n=33A037987
- Numbers having four 4's in base 6.at n=3A043388
- Numbers whose base-4 representation contains exactly three 0's and three 3's.at n=16A045079
- Numbers whose base-5 representation contains exactly two 1's and three 4's.at n=27A045258
- Numbers k such that k and k+1 both have 6 divisors.at n=49A049103
- Numbers k such that k and k-1 both have 6 divisors.at n=48A049104
- Starting index of a string of 3 or more consecutive equal digits in decimal expansion of Pi.at n=43A049515
- Starting index of a string of exactly 3 consecutive equal digits in decimal expansion of Pi.at n=33A049519
- G.f.: Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 8.at n=20A091779
- Least number beginning with n such that every partial sum is a prime.at n=48A095157
- Numbers n such that 3^n-2^(n-1) is prime.at n=25A095906
- Shadow of Euler's constant exp(1).at n=25A108912
- a(n) = n! * Sum_{k=1..n} H(k)*(n-k)!, where H(k) = Sum_{j=1..k} 1/j.at n=4A109780