7028
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14112
- Proper Divisor Sum (Aliquot Sum)
- 7084
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3000
- Möbius Function
- 0
- Radical
- 3514
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 57
- 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 partitions of n, with three kinds of 1,2,3 and 4 and two kinds of 5,6,7,...at n=12A000711
- Number of directed animals on a certain lattice.at n=5A011792
- Trajectory of 3 under map n->33n+1 if n odd, n->n/2 if n even.at n=13A037114
- Number of 2n-bead balanced binary necklaces of fundamental period 2n which are equivalent to their complement, but not equivalent to their reverse and their reversed complement.at n=18A045686
- a(1)=1, a(n) is the smallest number >= a(n-1) such that the simple continued fraction for S(n) = 1/a(1) + 1/a(2) + ... + 1/a(n) contains exactly n elements.at n=33A071012
- a(1) = 1, a(n+1) is the smallest number such that there are n primes between a(n) and a(n+1) exclusive.at n=42A075342
- Start with {2} and close under the operations XY and XY+1; sequence gives complete list of numbers that do not appear.at n=90A093906
- Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n and having k ladders.at n=57A098093
- Concerning the popular MMORPG "Runescape" by JAGeX corporation, this sequence gives the number of experience points needed for a given level in a skill.at n=23A111078
- Numbers k such that k*(k+6) gives the concatenation of two numbers m and m+9.at n=2A116352
- a(n) is the number of integers x that can be written x = (2^c(1) - 2^c(2) - 3*2^c(3) - 3^2*2^c(4) - ... - 3^(m-2)*2^c(m) - 3^(m-1)) / 3^m for integers c(1), c(2), ..., c(m) such that n = c(1) > c(2) > ... > c(m) > 0 and c(1) - c(2) != 2 if m >= 2.at n=36A131450
- 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), (0, -1, 1), (1, 0, 1), (1, 1, 0)}.at n=7A150481
- a(n) = 4*n^2 + 24*n + 8.at n=38A153642
- a(n) = 9n^2 - n.at n=27A154516
- a(n) = 36*n^2 - 2*n.at n=13A158062
- a(n) = 784*n^2 - 28.at n=2A158657
- Partial sums of partial sums of (A001840 interleaved with zeros).at n=39A165189
- 1-sequence of reduction of (3n-1) by x^2 -> x+1.at n=11A192310
- Number of 0..n arrays x(0..3) of 4 elements with nondecreasing average value.at n=13A200764
- Number of (n+1) X (n+1) -7..7 symmetric matrices with every 2 X 2 subblock having sum zero and three distinct values.at n=7A211442