15461
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15462
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15460
- Möbius Function
- -1
- Radical
- 15461
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 146
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1806
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Values of m in the discriminant D = -4*m leading to a new maximum of the L-function of the Dirichlet series L(1) = Sum_{k=1..oo} Kronecker(D,k)/k.at n=25A003420
- Numbers k such that the continued fraction for sqrt(k) has period 81.at n=13A020420
- Numbers k such that 279*2^k + 1 is prime.at n=20A053356
- Non-adding primes: next term is smallest prime not the sum of any primes so far.at n=18A060341
- a(n) = r-th prime of the form (p-q)/(q-r) with r=prime(n+1), q=prime(n+2), and primes p > q.at n=55A089577
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 6.at n=33A119597
- Primes in A132286.at n=36A132287
- The smallest prime p that makes the pair p+/-6n both primes while no other pair of p+/-6k+6*n, 0<k<n both primes.at n=47A139602
- Primes congruent to 45 mod 47.at n=40A142396
- Primes congruent to 38 mod 53.at n=35A142568
- Primes congruent to 3 mod 59.at n=31A142730
- Primes congruent to 28 mod 61.at n=27A142826
- 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, 0), (-1, 0, -1), (0, -1, 1), (0, 1, 1), (1, 0, -1)}.at n=9A148806
- Number of binary strings of length n with equal numbers of 0010 and 0101 substrings.at n=15A164167
- Prime numbers ending in the prime number 61.at n=40A167445
- Emirps whose only prime digits are 5's.at n=19A179036
- Emirps with a 5 as the only prime digit.at n=15A179037
- Riordan matrix ((1-x-x^2)/(1-2x-x^2),(x-x^2-x^3)/(1-2x-x^2)).at n=68A190215
- Number of n-ary words beginning with the first character of the alphabet, that can be built by inserting four doublets into the initially empty word.at n=11A194716
- Primes of the form 7n^2 - 2.at n=11A201848