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Number

40,427

40,427 is a prime, odd.

40,427 (forty thousand four hundred twenty-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x9DEB.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
16 bits
Reversed
72,404
Recamán's sequence
a(10,898) = 40,427
Square (n²)
1,634,342,329
Cube (n³)
66,071,557,334,483
Divisor count
2
σ(n) — sum of divisors
40,428
φ(n) — Euler's totient
40,426

Primality

40,427 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 40427
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 40,427)
1 × 40427
First multiples
40,427 · 80,854 (double) · 121,281 · 161,708 · 202,135 · 242,562 · 282,989 · 323,416 · 363,843 · 404,270

Sums & aliquot sequence

As consecutive integers: 20,213 + 20,214

Continued fraction of √n

√40,427 = [201; (15, 2, 6, 2, 4, 2, 3, 1, 1, 1, 7, 1, 10, 1, 16, 1, 1, 3, 5, 1, 2, 1, 1, 6, …)]

Representations

In words
forty thousand four hundred twenty-seven
Ordinal
40427th
Binary
1001110111101011
Octal
116753
Hexadecimal
0x9DEB
Base64
nes=
One's complement
25,108 (16-bit)
Scientific notation
4.0427 × 10⁴
As a duration
40,427 s = 11 hours, 13 minutes, 47 seconds
In other bases
ternary (3) 2001110022
quaternary (4) 21313223
quinary (5) 2243202
senary (6) 511055
septenary (7) 225602
nonary (9) 61408
undecimal (11) 28412
duodecimal (12) 1b48b
tridecimal (13) 1552a
tetradecimal (14) 10a39
pentadecimal (15) bea2

As an angle

40,427° = 112 × 360° + 107°
107° ≈ 1.868 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μυκζʹ
Mayan (base 20)
𝋥·𝋡·𝋡·𝋧
Chinese
四萬零四百二十七
Chinese (financial)
肆萬零肆佰貳拾柒
In other modern scripts
Eastern Arabic ٤٠٤٢٧ Devanagari ४०४२७ Bengali ৪০৪২৭ Tamil ௪௦௪௨௭ Thai ๔๐๔๒๗ Tibetan ༤༠༤༢༧ Khmer ៤០៤២៧ Lao ໔໐໔໒໗ Burmese ၄၀၄၂၇

Digit at this position in famous constants

π — Pi (π)
Digit 40,427 = 5
e — Euler's number (e)
Digit 40,427 = 8
φ — Golden ratio (φ)
Digit 40,427 = 4
√2 — Pythagoras's (√2)
Digit 40,427 = 0
ln 2 — Natural log of 2
Digit 40,427 = 1
γ — Euler-Mascheroni (γ)
Digit 40,427 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 40,423 (gap of 4)
  • Next prime: 40,429 (gap of 2)

Pair status: twin with 40429, cousin with 40423.

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

UTF-8 encoding: E9 B7 AB (3 bytes).

Hex color
#009DEB
RGB(0, 157, 235)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.157.235.

Address
0.0.157.235
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.157.235

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

Position in π

The digit sequence 40427 first appears in π at position 68,998 of the decimal expansion (the 68,998ordinal-suffix:th 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.