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Properties of the Number 17955

Seventeen Thousand Nine Hundred Fifty-Five

Basics

Value: 17954 → 17955 → 17956

Parity: odd

Prime: No

Previous Prime: 17939

Next Prime: 17957

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 3 × 5 × 7 × 19

Divisors: 1, 3, 5, 7, 9, 15, 19, 21, 27, 35

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100011000100011

Octal: 43043

Duodecimal: A483

Hexadecimal: 4623

Square: 322382025

Square Root: 133.99626860476377

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

Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m). A5231
Tritriangular numbers: a(n) = binomial(binomial(n,2),2) = n*(n+1)*(n-1)*(n-2)/8. A50534
Triangular numbers that are the product of two triangular numbers greater than 1. A188630
Odd infinitary abundant numbers. A127666
a(n) = (4·n+1)*(4·n+3). A1539
Solution to a Diophantine equation: each term is a triangular number and each term + 1 is a square. A6454
Odd bi-unitary abundant numbers: odd numbers k such that bsigma(k) > 2·k, where bsigma is the sum of the bi-unitary divisors function (A188999). A293186
3 times 12-gonal (or dodecagonal) numbers: a(n) = 3·n*(5·n-4). A153448
Triangular numbers which are products of triangular numbers larger than 1. A68143
Triangle of numerators of coefficients of the polynomial Qm(n) defined by the recursion Q0(n)=1; for m >= 1, Qm(n) = ∑i=1..n i·Qm-1(i). For m >= 1, the denominator for all 2·m+1 terms of the m-th row is A053657(m+1). A202339