11551
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11552
- 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
- 11550
- Möbius Function
- -1
- Radical
- 11551
- 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
- 143
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1392
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime whose digit product is n, if possible; otherwise 0 if n is a prime > 7 or 1 if n has a prime factor > 7.at n=25A016112
- Primes that contain digits 1 and 5 only.at n=5A020453
- Least inverse of A001390, or 0 if no inverse exists.at n=38A020638
- Discriminants of quintic fields with 2 complex conjugates (negated).at n=14A023684
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 94 ones.at n=0A031862
- Smallest n-digit prime containing only digits 1 and 5, or 0 if no such prime exists.at n=4A036932
- Numerators of continued fraction convergents to sqrt(231).at n=3A041430
- Numerators of continued fraction convergents to sqrt(924).at n=7A042786
- Primes of the form 2310*p + 1 where p is a prime.at n=1A051649
- First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).at n=29A054808
- Row 4 of A007754.at n=8A058795
- Numbers whose cubes contain more than half the same digit and do not end in 0.at n=29A060814
- Numbers k such that A048138(k) is a prime and sets a new record for such primes.at n=32A064440
- Primes of the form 2*n^2 - 1.at n=36A066436
- Primes which can be expressed as concatenation of powers of 5 and 0's.at n=17A066596
- Primes of the form 210n + 1.at n=26A073102
- Smallest number that requires n steps to reach 0 when iterating the mapping k -> abs(reverse(lpd(k))-reverse(Lpf(k))). lpd(k) is the largest proper divisor and Lpf(k) is the largest prime factor of k.at n=14A076424
- Shallow diagonal of triangular spiral in A051682.at n=25A081275
- Primes with at least four digits such that sum of any three_neighbor_digits is prime; first and last digits are neighbors.at n=35A086259
- Table read by rows where i-th row consists of primes P of the form P=j*P(i)# -1 or P=j*P(i)# +1 with 0 < j < P(i+1). Here P(r)# = A002110.at n=36A087715