Properties of the Number 35397

Thirty-Five Thousand Three Hundred Ninety-Seven

Basics

Value: 35396 → 35397 → 35398

Parity: odd

Prime: No

Previous Prime: 35393

Next Prime: 35401

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 19 × 23

Divisors: 1, 3, 9, 19, 23, 27, 57, 69, 81, 171

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000101001000101

Octal: 105105

Duodecimal: 18599

Hexadecimal: 8a45

Square: 1252947609

Square Root: 188.14090464330184

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

a(n) = 3·a(n-2) - a(n-3) with a(0)=0, a(1)=3, a(2)=0. A214699

Bases b where exactly nine primes p with p < b exist such that p is a base-b Wieferich prime. A325885

Largest k such that k <= 81*(number of digits of kⁿ)*(number of digits of kⁿ⁺¹). A130179

a(n) = numerator of ∏_k=1..n k^μ(n+1-k), where μ(k) = A008683(k). A130088

Ordered factorizations with one level of parentheses indexed by prime signatures. A050354(A025487). A50355

Ordered (2,2)-selections from the multiset {1,1,2,2,3,3,...,n,n}. A188667

Bogota numbers that are not Colombian numbers. A336983

Number of (4+1) X (n+1) arrays of permutations of 0..n·5+4 with each element having index change +-(.,.) 0,0 1,2 or 2,2. A264019

Square array read by antidiagonals upwards: T(i,j) is the smallest number m such that the symmetric representation of σ, SRS(m), has maximum width 3, consists of i parts and has 2·j occurrences of maximum width 3 in its width pattern (row m of A341969). A377667

Number of partitions of n into parts 7k+1 or 7k+3. A35397