15442
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 26496
- Proper Divisor Sum (Aliquot Sum)
- 11054
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6612
- Möbius Function
- -1
- Radical
- 15442
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 115
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Numbers n such that P(4n) is prime, where P(m) is the number of partitions of m.at n=39A111045
- Triangle read by rows: row n gives coefficients of expansion of q-tangent number T_{2n+1}(q) in powers of q.at n=42A143194
- Triangle read by rows: row n gives coefficients of expansion of q-tangent number T_{2n+1}(q) in powers of q.at n=53A143194
- Number of reduced words of length n in the Weyl group D_7.at n=16A162210
- Number of reduced words of length n in the Weyl group D_7.at n=26A162210
- Numbers n such that 2^n'-1 is prime, where n' is the arithmetic derivative of n.at n=19A189992
- a(n) = Sum_{j=1..n} Sum_{i=1..n} (j mod i).at n=40A367379