5897
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5898
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5896
- Möbius Function
- -1
- Radical
- 5897
- 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
- 80
- 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
- 776
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From a Goldbach conjecture: records in A185091.at n=36A002092
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=30A007353
- Smallest number a(n) formed from consecutive sequences of digits of Pi and satisfying a(n) > a(n-1); first 3 is omitted.at n=5A008829
- Write down decimal expansion of Pi; divide up into chunks of minimal length so that chunks are increasing numbers and do not begin with 0.at n=5A016062
- Numbers k such that the continued fraction for sqrt(k) has period 41.at n=14A020380
- Pisot sequences E(5,7), P(5,7).at n=19A020711
- Pisot sequences E(7,10), P(7,10).at n=18A020721
- 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 13.at n=7A031601
- Upper prime of a difference of 16 between consecutive primes.at n=19A031935
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,1.at n=4A037642
- Number of triangles in minimal triangle graphs.at n=9A048781
- Primes p from A031924 such that A052180(primepi(p)) = 17.at n=6A052234
- Fifth spoke of a hexagonal spiral.at n=44A056109
- Primes p such that x^67 = 2 has no solution mod p.at n=11A059330
- Numbers k such that k*2^m+1 are composites for all exponents m in the range 0<=m<=k.at n=16A061153
- Potential Sierpiński numbers: integers for which the smallest m > 2^10 in A040076 such that n*2^m+1 is prime (A050921).at n=18A064721
- a(1) = 7; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=37A074343
- Sums of groups in A075635.at n=20A075636
- Balanced primes of order three.at n=34A082078
- Smallest primes such that the subsequent terms of consecutive prime differences (A001223) modulo 6 (A054763) displays repeatedly n times a {0,2,4} pattern of remainders of differences.at n=2A084299