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Number

40,813

40,813 is a prime, odd.

40,813 (forty thousand eight hundred thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x9F6D.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
16 bits
Reversed
31,804
Recamán's sequence
a(152,553) = 40,813
Square (n²)
1,665,700,969
Cube (n³)
67,982,253,647,797
Divisor count
2
σ(n) — sum of divisors
40,814
φ(n) — Euler's totient
40,812

Primality

40,813 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 40813
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 40,813)
1 × 40813
First multiples
40,813 · 81,626 (double) · 122,439 · 163,252 · 204,065 · 244,878 · 285,691 · 326,504 · 367,317 · 408,130

Sums & aliquot sequence

As a sum of two squares: 3² + 202²
As consecutive integers: 20,406 + 20,407

Continued fraction of √n

√40,813 = [202; (44, 1, 8, 4, 1, 7, 8, 2, 7, 2, 4, 1, 1, 1, 4, 1, 2, 23, 2, 2, 2, 1, 1, 1, …)]

Period length 57 — the block in parentheses repeats forever.

Representations

In words
forty thousand eight hundred thirteen
Ordinal
40813th
Binary
1001111101101101
Octal
117555
Hexadecimal
0x9F6D
Base64
n20=
One's complement
24,722 (16-bit)
Scientific notation
4.0813 × 10⁴
As a duration
40,813 s = 11 hours, 20 minutes, 13 seconds
In other bases
ternary (3) 2001222121
quaternary (4) 21331231
quinary (5) 2301223
senary (6) 512541
septenary (7) 226663
nonary (9) 61877
undecimal (11) 28733
duodecimal (12) 1b751
tridecimal (13) 15766
tetradecimal (14) 10c33
pentadecimal (15) c15d

As an angle

40,813° = 113 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵μωιγʹ
Mayan (base 20)
𝋥·𝋢·𝋠·𝋭
Chinese
四萬零八百一十三
Chinese (financial)
肆萬零捌佰壹拾參
In other modern scripts
Eastern Arabic ٤٠٨١٣ Devanagari ४०८१३ Bengali ৪০৮১৩ Tamil ௪௦௮௧௩ Thai ๔๐๘๑๓ Tibetan ༤༠༨༡༣ Khmer ៤០៨១៣ Lao ໔໐໘໑໓ Burmese ၄၀၈၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 40,813 = 9
e — Euler's number (e)
Digit 40,813 = 7
φ — Golden ratio (φ)
Digit 40,813 = 5
√2 — Pythagoras's (√2)
Digit 40,813 = 8
ln 2 — Natural log of 2
Digit 40,813 = 1
γ — Euler-Mascheroni (γ)
Digit 40,813 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 40,801 (gap of 12)
  • Next prime: 40,819 (gap of 6)

Pair status: sexy with 40819.

Unicode codepoint
CJK Unified Ideograph-9F6D
U+9F6D
Other letter (Lo)

UTF-8 encoding: E9 BD AD (3 bytes).

Hex color
#009F6D
RGB(0, 159, 109)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.159.109.

Address
0.0.159.109
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.159.109

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 40813 first appears in π at position 104,893 of the decimal expansion (the 104,893ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.