7832
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16200
- Proper Divisor Sum (Aliquot Sum)
- 8368
- 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
- 3520
- Möbius Function
- 0
- Radical
- 1958
- Omega Function (Ω)
- 5
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- a(n) = (3*n+1)*(3*n+2).at n=29A001504
- a(n) = 2*n*(2*n+1).at n=44A002943
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=54A011901
- Number of positive integers that are not the sum of distinct n-th-order polygonal numbers.at n=45A025524
- Sorted Galois numbers.at n=27A028689
- "DHK" (bracelet, identity, unlabeled) transform of 1,0,1,0,... (odd).at n=27A032243
- Product of a prime and the previous number.at n=23A036689
- Starting positions of strings of 3 0's in the decimal expansion of Pi.at n=5A050202
- Totients of consecutive pure powers of primes.at n=48A053198
- McKay-Thompson series of class 36C for Monster.at n=39A058646
- Engel expansion of sinh(1).at n=44A068377
- Numbers divisible by prime ceilings of their square roots + 1.at n=46A079143
- Diagonal of triangular spiral in A051682.at n=41A081268
- Ramanujan numbers (A000594) read mod 8192.at n=6A126823
- Numbers m such that m^k does not divide the denominator of the m-th generalized harmonic number H(m,k) nor the denominator of the m-th alternating generalized harmonic number H'(m,k), for k = 2.at n=30A128672
- Numbers m such that m^k does not divide the denominator of the m-th generalized harmonic number H(m,k) nor the denominator of the m-th alternating generalized harmonic number H'(m,k), for k = 4.at n=26A128674
- Numbers m such that m^k does not divide the denominator of the m-th generalized harmonic number H(m,k) nor the denominator of the m-th alternating generalized harmonic number H'(m,k), for k = 6.at n=31A128676
- Odious oblong (promic) numbers.at n=34A130201
- a(n) = p*(p - 1), where p is A000043(n).at n=9A139115
- 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, 0, 1), (0, 1, 0), (1, 0, -1)}.at n=8A149893