13748
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 27552
- Proper Divisor Sum (Aliquot Sum)
- 13804
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5880
- Möbius Function
- 0
- Radical
- 6874
- 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
- 151
- 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) = A047881(n) / 2.at n=41A047882
- McKay-Thompson series of class 14A for Monster.at n=15A058497
- -21*zeta_K(-1), where K runs through the simplest cubic fields.at n=7A084711
- a(n) is the area of the triangle with sides prime(n), prime(n+2) and prime(n+4), rounded down to the nearest integer.at n=35A096384
- Number of base 32 circular n-digit numbers with adjacent digits differing by 4 or less.at n=4A125369
- McKay-Thompson series of class 14A for the Monster group with a(0) = 1.at n=15A134782
- Numbers that are multiples of 28 and contain both a 4 and a 7.at n=33A171077
- n^3+Smallest square, (Smallest square >= n^3).at n=19A176581
- Number of (n+2) X (4+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically.at n=7A253506
- Concatenation of n-th prime and n-th nonprime.at n=32A253910
- Number of n X 3 0..1 arrays with no element unequal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=15A280228
- a(n) = number of regions in the configuration A290447(n).at n=25A290865
- The first Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.1).at n=19A292344
- Positive integers m such that m, m + 1 and m + 2 are a sum of a positive square and a positive cube.at n=32A295787
- Numbers k such that k * 12^k - 1 is prime.at n=7A299375
- a(n) is the index of the first occurrence of the Euclidean distance prime(n) from a point on a square spiral to its starting point at 1.at n=16A336335
- Main diagonal of array in A358298.at n=20A358301
- Number of finite sequences of distinct sets with total sum n.at n=16A358913