15739
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15740
- 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
- 15738
- Möbius Function
- -1
- Radical
- 15739
- 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
- 53
- 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
- 1836
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = 11*a(n-1) + 3*a(n-2).at n=5A015594
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 68 ones.at n=24A031836
- Primes p such that x^61 = 2 has no solution mod p.at n=32A059230
- a(n)=A085956(3n).at n=42A086361
- Last term of prime quadruples.at n=14A090258
- Primes p equal to the sum of two successive sexy primes - 1 such that p - 6 is also prime.at n=26A104047
- Primes p such that sigma(k) = phi(prime(k)-1), where p = prime(k).at n=14A107815
- Primes with at least one of each odd digit and no even digits.at n=2A108418
- Numbers such that the sum of the factorials of the digits of the fourth power is a square.at n=25A126077
- Primes congruent to 10 mod 49.at n=41A142422
- Primes congruent to 51 mod 53.at n=35A142581
- Primes congruent to 45 mod 59.at n=32A142772
- 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, 0, 1), (-1, 1, 0), (0, 1, 1), (1, -1, 1), (1, 1, -1)}.at n=8A149071
- Primes remaining primes under map 3<=>5 (interchange of decimal digits 3 and 5).at n=27A198047
- Primes congruent to 1 mod 61.at n=32A212378
- Primes p such that q = 2*p^3-1 and 2*p*q^2-1 are both prime.at n=6A224614
- Number of ordered triples (i,j,k) with |i|, |j|, |k|, |i*j*k| <= n.at n=33A226359
- Smallest prime k such that k*2^n-1 , k*2^n-1+2*j , k*2^n-1+4*j or k*2^n-1-2*j , k*2^n-1 , k*2^n-1+2*j are consecutive primes in arithmetic progression for some j.at n=46A228452
- Primes p such that f(f(p)) is prime, where f(x) = x^4-x^3-x^2-x-1.at n=31A230029
- Primes p with each odd decimal digit present at least once.at n=2A232447