10478
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17568
- Proper Divisor Sum (Aliquot Sum)
- 7090
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4680
- Möbius Function
- 0
- Radical
- 806
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 104
- 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) = floor(n*(n-1)*(n-2)/30).at n=69A011912
- Consider the trajectory of n under the iteration of a map which sends x to 3x - sigma(x) if this is >= 0; otherwise the iteration stops. The sequence gives values of n which eventually reach 0.at n=19A037159
- a(n) is the least number with exactly n permutations of digits that are primes.at n=23A046893
- Bessel function |Y_0(n)| is a monotonically decreasing positive sequence.at n=39A046963
- If D[n] is divisor-set of n, then in set of 1+D only 2 primes occur:{2,3}; also n is not squarefree.at n=33A072607
- Sums of groups in A075643.at n=24A075645
- Coefficient of x^2 in polynomial whose zeros are 5 consecutive primes starting with the n-th prime.at n=2A125270
- Zero followed by partial sums of A059100, starting at n=1.at n=31A145068
- S(n) - the sum of the areas of the polygons constructed from connecting with a straight line all identical members in the multiplicative table modulo n (finite field).at n=24A157023
- Number of 1..2 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1.at n=14A171276
- Number of 1..n integer arrays v[1..15] of length 15 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..14.at n=1A171352
- Number of partitions of n such that the number of parts and the smallest part are not coprime.at n=47A201025
- Partitions with parts repeated at most twice and repetition only allowed if first part has an odd index (first index = 1).at n=48A227134
- For any number n > 0, let f(n) be the polynomial of a single indeterminate x where the coefficient of x^e is the prime(1+e)-adic valuation of n (where prime(k) denotes the k-th prime); f establishes a bijection between the positive numbers and the polynomials of a single indeterminate x with nonnegative integer coefficients; let g be the inverse of f; a(n) = g(f(n)^2).at n=25A297473
- Number of integer partitions of n whose multiplicities cover an initial interval of positive integers.at n=40A317081
- Number of nX7 0..1 arrays with every element unequal to 0, 1 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=18A317772
- Maximum number of ways in which a set of integer-sided rectangular pieces can tile an n X 2 rectangle, up to rotations and reflections.at n=9A361224
- Numbers that are not a power of a prime but whose prime indices satisfy (mean) = (median) = (mode), assuming there is a unique mode.at n=26A363729
- Indices where the cumulative sum of cos(2k+1)^(2k+1) reaches a record low value.at n=13A389560