Properties of the Number 5754

Five Thousand Seven Hundred Fifty-Four

Basics

Value: 5753 → 5754 → 5755

Parity: even

Prime: No

Previous Prime: 5749

Next Prime: 5779

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 137

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 137, 274

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001111010

Octal: 13172

Duodecimal: 33B6

Hexadecimal: 167a

Square: 33108516

Square Root: 75.85512507405153

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

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

Number of partitions of n having positive even rank (the rank of a partition is the largest part minus the number of parts). A101708

3 times heptagonal numbers: a(n) = 3·n*(5·n-3)/2. A152773

Least integer b>2n+1 such that the numbers written as [1,3,...,2n-1,2n+1] and [2n+1,2n-1,...,3,1] in base b are both prime. A218465

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and no element more than one greater than the previous. A199847

Number of ways to write n as an ordered sum of 7 nonzero triangular numbers. A340952

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k increasing cycles (0<=k<=n). A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1) < b(2) < b(3) < ... . A186754

Signed recurrence over binary strict trees: a(n) = 1 - ∑_{x + y = n, 0 < x < y < n} a(x) * a(y). A300866

Triangle read by rows T(n, k) = number of non-equivalent ways to place k non-attacking ferses on an n X n board. A278688

Cluster series for cubic lattice. A3211