15601
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15602
- 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
- 15600
- Möbius Function
- -1
- Radical
- 15601
- 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
- no
- 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
- 1819
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Denominators of convergents to log_2 3.at n=9A005664
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 16.at n=10A031604
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 96 ones.at n=3A031864
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of two tones of musical harmony: the perfect 4th, 4/3 and its complement the perfect 5th, 3/2.at n=25A060528
- Primes with 23 as smallest positive primitive root.at n=6A061335
- a(n) = n^3 - n + 1.at n=25A061600
- Centered 20-gonal (or icosagonal) numbers.at n=39A069133
- The last number for which a determinant of base-n numbers is nonzero.at n=23A079505
- Smallest prime of the form n(n-1)(n-2)...(n-k)+1, or 0 if no such prime exists.at n=25A092927
- Smallest prime formed by the digit string after decimal point of n^(1/n), or 0 if no such prime exists.at n=20A095189
- Primes of the form k^3 - k + 1.at n=11A100698
- The 3^n-th irregular prime.at n=6A105462
- Prime numbers p such that p +- ((p-1)/4) are primes.at n=17A137705
- Primes of the form 210k + 61.at n=39A140854
- Primes congruent to 21 mod 41.at n=37A142218
- Primes congruent to 44 mod 47.at n=33A142395
- Primes congruent to 19 mod 53.at n=39A142549
- Primes congruent to 25 mod 59.at n=31A142752
- Primes congruent to 46 mod 61.at n=30A142844
- a(n+1) = a(n)^3 - a(n) + 1 with a(1) = 3.at n=2A144788