4948
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8666
- Proper Divisor Sum (Aliquot Sum)
- 3718
- 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
- 2472
- Möbius Function
- 0
- Radical
- 2474
- 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
- 28
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=13A020409
- Fibonacci sequence beginning 2, 20.at n=13A022372
- Coordination sequence T1 for Zeolite Code CFI.at n=46A033599
- a(n)=T(n,n+1), array T as in A049723.at n=39A049729
- First of 3 consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2} are in A067259.at n=26A071319
- Number of up-down involutions of length n.at n=14A072187
- Numerators of "Farey fraction" approximations to Pi.at n=40A097545
- a(1)=1. a(n) = a(n-1) + sum of the squares which are among the first (n-1) terms of the sequence.at n=25A101135
- Number of partitions of n into parts without powers of 2.at n=56A101417
- Location of the restriction sites for the enzyme BsuRI in PhiX174 DNA.at n=10A108785
- Row sums of triangle A135858.at n=17A135859
- Numbers which are the sum of three cubes of distinct primes.at n=20A138854
- Zero followed by partial sums of A059100, starting at n=1.at n=24A145068
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 1, 1), (0, 0, 1), (1, -1, 0), (1, 1, -1)}.at n=8A148483
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 0), (1, -1, 1), (1, 0, 1), (1, 1, -1)}.at n=8A148861
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, -1, 1), (0, 1, 1), (1, 0, -1)}.at n=8A148932
- Numbers k such that 2^k + 25 is prime.at n=21A157006
- Triangle related to the o.g.f.s. of the right-hand columns of A028421 (E(x,m=2,n)).at n=43A163937
- Numbers k such that phi(k) = phi(k+4), with Euler's totient function phi = A000010.at n=49A179186
- a(n)=n+floor(r*a(n-1)), where r = golden ratio = (1+sqrt(5))/2, a(0)=0, a(1)=1.at n=15A182640