7896
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 23040
- Proper Divisor Sum (Aliquot Sum)
- 15144
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2208
- Möbius Function
- 0
- Radical
- 1974
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 39
- 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
- Expansion of 1/((1+x)*(1-x)^10).at n=7A001781
- a(n) = floor( n*(n-1)*(n-2)/14 ).at n=49A011896
- Number of internal nodes of even outdegree in all ordered rooted trees with n edges.at n=8A014301
- Fibonacci sequence beginning 0, 8.at n=16A022091
- Number of partitions of n with equal nonzero number of parts congruent to each of 2 and 3 (mod 4).at n=43A035551
- Triangle read by rows: matrix 4th power of the Stirling2 triangle A008277.at n=42A039812
- Numbers k such that 74*2^k-1 is prime.at n=3A050413
- Number of pairs of cycles of cardinality at least 3.at n=8A052519
- A companion sequence to A011896.at n=49A055610
- Numbers k such that sigma(k) - usigma(k) is a square and sets a new record for such squares.at n=19A063840
- Number of partitions of n into odious numbers (A000069).at n=51A067590
- Triangle of Legendre-Stirling numbers of the second kind T(n,j), n >= 1, 1 <= j <= n, read by rows.at n=33A071951
- Diagonal T(n,n-2) of triangle in A071951.at n=5A071953
- Smallest number m such that m and the product of digits of m are both divisible by 7n, or 0 if no such number exists.at n=23A073908
- Smallest number m such that m and the product of digits of m are both divisible by 3n, or 0 if no such number exists.at n=55A073910
- Smallest number m such that m and the product of digits of m are both divisible by 8n, or 0 if no such number exists.at n=20A073912
- Smallest multiple of n in which the most significant occurrence of the digit string of n is preceded and followed by the digit string of (n-1) and (n+1) as can be seen in the forward concatenation of the natural numbers.at n=7A078294
- n-th positive integer whose digits sum up to n.at n=29A081927
- Sixth column of the triangle A071951 (Legendre-Stirling).at n=2A089277
- "The partial sums of the positions where T occurs in this sentence are one, eight, twentyfive, fortynine, eightythree, onehundredtwentysix, ..." (Variation of Aronson's sequence).at n=39A089613