5506
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8262
- Proper Divisor Sum (Aliquot Sum)
- 2756
- 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
- 2752
- Möbius Function
- 1
- Radical
- 5506
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 129
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T8 for Zeolite Code MFS.at n=46A008180
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=21A020399
- T(2n-1,n-2), T given by A026681.at n=5A026686
- a(n) = Sum_{k=0..n} T(n,k), T given by A026769.at n=11A026776
- a(n) = 3*n^2 - 7*n + 6.at n=44A027599
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 74.at n=2A031572
- Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number.at n=23A032549
- Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k.at n=24A062944
- a(n) = Sum {k + j*m <= n} (k + j*m), with 0 < k,j,m <= n.at n=18A106847
- "Correlation triangle" of central binomial coefficients A000984.at n=39A115255
- "Correlation triangle" of central binomial coefficients A000984.at n=41A115255
- Numbers k such that k and k^2 use only the digits 0, 1, 3, 5 and 6.at n=15A136843
- Numbers with at least two digits in which all digits except the rightmost are 0 or 5 and the rightmost is neither 0 nor 5.at n=44A144162
- Number of binary strings of length n with no substrings equal to 0010 0110 or 1001.at n=12A164496
- Convolved with its aerated variant = A000041.at n=43A174065
- Number of emergent parts in all partitions of n.at n=30A182699
- Number of strings of numbers x(i=1..n) in 0..5 with sum i*x(i)^4 equal to n*625.at n=9A184844
- Number of n-step four-sided prudent self-avoiding walks ending at the northwest corner of their box.at n=10A191758
- Number of -n..n arrays x(0..2) of 3 elements with zero sum and nonzero first and second differences.at n=42A200455
- Minimum even value unattainable as the sum of 6 attained values of i*(i-1) with i in 0..n.at n=32A225292