Properties of the Number 39279

Thirty-Nine Thousand Two Hundred Seventy-Nine

Basics

Value: 39278 → 39279 → 39280

Parity: odd

Prime: No

Previous Prime: 39251

Next Prime: 39293

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 13093

Divisors: 1, 3, 13093, 39279

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001100101101111

Octal: 114557

Duodecimal: 1A893

Hexadecimal: 996f

Square: 1542839841

Square Root: 198.18930344496394

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers less than the maximum possible determinant A085000(4)=40800 not occurring as determinant of a 4 X 4 matrix with elements 1..16. A88237

Smallest k such that 34^k mod k = n. A178195

Number of (n+2) X (1+2) 0..3 arrays with every 3 X 3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252132

Number of n X 2 nonnegative integer arrays with upper left 0 and every value within 3 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down. A252822

Smallest m such that (2n-1)2^m+1 is prime, or -1 if no such value exists. A46067

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252139

Numbers whose base-4 representation has the same nonzero number of 0's and 3's. A39279

Record number of steps under iterations of "map n to n - (largest prime <= n)" (A064722) until reaching the limiting value 0 or 1. Also, places where A121561 reaches a new record. A135543

Least k such that (2·n-1)*2^k + 1 is a prime factor of a Fermat number 2^{2^m} + 1 for some m, or 0 if no such value exists. A215540

Array, read by ascending antidiagonals, whose n-th row consists of the powers of 2, if n = 1; of the primes of the form (2·n-1)*2^k+1, if they exist and n > 1; and of zeros otherwise. A361076