15704
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 31920
- Proper Divisor Sum (Aliquot Sum)
- 16216
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7200
- Möbius Function
- 0
- Radical
- 3926
- 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
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 84
- Smith Number
- yes
- 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
- Lonely numbers: distance to closest prime sets a new record.at n=12A051650
- Smallest number at distance n from nearest prime.at n=21A051652
- Smallest number at distance 2n+1 from nearest prime.at n=10A051729
- a(n) is the smallest number for which the prime distance A051699 is equal to n.at n=21A077019
- Least positive k such that the distance from k to closest prime = n.at n=21A079582
- Smallest number at distance exactly 3n from nearest prime.at n=7A132470
- Smallest number at distance 3n from nearest prime (variant 2).at n=7A132861
- 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, 0, 1), (1, -1, 1), (1, 0, 1), (1, 1, -1)}.at n=9A148849
- First string of 43 consecutive composite numbers.at n=20A177949
- Half the number of n X n X n triangular binary arrays with every element equal to at most 5 neighbors.at n=4A192487
- Number of 0..n arrays x(0..8) of 9 elements with zero 5th differences.at n=28A200332
- a(n) is the minimal k such that nextprime(2k+1) - 2k = prime(n) where nextprime(n) is least prime > n.at n=17A229512
- Lonely numbers (A051650) which start a run of consecutive lonely numbers with difference 1.at n=1A233545
- Number of trapezoidal words of length n.at n=46A260881
- List of indices where the maximum of {A316190(j) | j<=n} increases.at n=10A316191
- a(n) = Sum_{p in P} y(1)*y(2), where P is the set of partitions of n, and y(k) is the number of parts with multiplicity at least k in p.at n=26A316861
- a(n) is the number of integer partitions of n for which the rank is equal to the index of the seaweed algebra formed by the integer partition paired with its weight.at n=55A318205
- a(n) is the number of dominoes, among all domino tilings of the 2 X n rectangle, sharing a length-2 side with the boundary of the rectangle.at n=15A320947
- Number of Frobenius partitions of 2*n that satisfy the condition that the sum of the entries on the top row plus the number of columns is less than or equal to the sum of the entries on the bottom row.at n=19A342208