12071
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12072
- 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
- 12070
- Möbius Function
- -1
- Radical
- 12071
- 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
- 42
- 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
- 1445
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- First time that the Grundy function G(x) for "subtract-a-Fibonacci-number" takes the value n.at n=13A019307
- Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=25A023297
- Numerators of continued fraction convergents to sqrt(58).at n=12A041100
- Smaller of twin prime pairs in consecutively larger seas of composite numbers.at n=21A046928
- Values of A (the short leg) of a Pythagorean triangle with A and C (the hypotenuse) both prime and part of a twin prime.at n=28A051642
- Prime number spiral (clockwise, Southeast spoke).at n=19A054564
- Numbers k such that x^k + x^3 + 1 is irreducible over GF(2).at n=36A057461
- Numbers n such that x^n + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=29A057496
- Numbers k such that sigma(k+2) - sigma(k) = prime(k+1) - prime(k).at n=33A067062
- Prime(n) and prime(n+4) use the same digits.at n=14A069796
- Numbers k such that k, sigma(k) and phi(k) have the same decimal digits (ignoring multiplicity).at n=12A082059
- Smallest member of a pair of consecutive twin prime pairs that have two primes between them.at n=35A089634
- Smallest prime ending in prime(n) and == 1 (mod prime(n)), or 0 if no such prime exists.at n=19A096069
- Upper prime of a difference of 22 between consecutive primes.at n=22A098976
- Greater of a,b where n^2 = a^3 + b^3; a,b>0 and gcd(a,b)=1. The lesser of a,b is the corresponding term in A099532 and n, which is used to order this sequence, is the corresponding term in A099426.at n=31A099533
- Smallest of five consecutive primes whose sum of digits is prime.at n=28A106718
- Smallest of six consecutive primes whose sum of digits is prime.at n=11A106719
- Smallest prime of the set of four consecutive primes whose sum of digits is a set of four distinct primes.at n=25A106817
- Cyclops primes.at n=29A134809
- Lesser of twin primes isolated from neighboring primes by +- 10 (or more).at n=24A138063