number.wiki
Number

27,397

27,397 is a prime, odd.

27,397 (twenty-seven thousand three hundred ninety-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x6B05.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
28
Digit product
2,646
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
79,372
Recamán's sequence
a(314,566) = 27,397
Square (n²)
750,595,609
Cube (n³)
20,564,067,899,773
Divisor count
2
σ(n) — sum of divisors
27,398
φ(n) — Euler's totient
27,396

Primality

27,397 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 27397
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 27,397)
1 × 27397
First multiples
27,397 · 54,794 (double) · 82,191 · 109,588 · 136,985 · 164,382 · 191,779 · 219,176 · 246,573 · 273,970

Sums & aliquot sequence

As a sum of two squares: 46² + 159²
As consecutive integers: 13,698 + 13,699

Continued fraction of √n

√27,397 = [165; (1, 1, 11, 1, 3, 5, 1, 109, 1, 1, 36, 3, 1, 1, 3, 36, 1, 1, 109, 1, 5, 3, 1, 11, …)]

Period length 27 — the block in parentheses repeats forever.

Representations

In words
twenty-seven thousand three hundred ninety-seven
Ordinal
27397th
Binary
110101100000101
Octal
65405
Hexadecimal
0x6B05
Base64
awU=
One's complement
38,138 (16-bit)
Scientific notation
2.7397 × 10⁴
As a duration
27,397 s = 7 hours, 36 minutes, 37 seconds
In other bases
ternary (3) 1101120201
quaternary (4) 12230011
quinary (5) 1334042
senary (6) 330501
septenary (7) 142606
nonary (9) 41521
undecimal (11) 19647
duodecimal (12) 13a31
tridecimal (13) c616
tetradecimal (14) 9dad
pentadecimal (15) 81b7
Palindromic in base 12

As an angle

27,397° = 76 × 360° + 37°
37° ≈ 0.646 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κζτϟζʹ
Mayan (base 20)
𝋣·𝋨·𝋩·𝋱
Chinese
二萬七千三百九十七
Chinese (financial)
貳萬柒仟參佰玖拾柒
In other modern scripts
Eastern Arabic ٢٧٣٩٧ Devanagari २७३९७ Bengali ২৭৩৯৭ Tamil ௨௭௩௯௭ Thai ๒๗๓๙๗ Tibetan ༢༧༣༩༧ Khmer ២៧៣៩៧ Lao ໒໗໓໙໗ Burmese ၂၇၃၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 27,397 = 9
e — Euler's number (e)
Digit 27,397 = 9
φ — Golden ratio (φ)
Digit 27,397 = 6
√2 — Pythagoras's (√2)
Digit 27,397 = 2
ln 2 — Natural log of 2
Digit 27,397 = 8
γ — Euler-Mascheroni (γ)
Digit 27,397 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 27,367 (gap of 30)
  • Next prime: 27,407 (gap of 10)
Unicode codepoint
CJK Unified Ideograph-6B05
U+6B05
Other letter (Lo)

UTF-8 encoding: E6 AC 85 (3 bytes).

Hex color
#006B05
RGB(0, 107, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.107.5.

Address
0.0.107.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.107.5

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

Position in π

The digit sequence 27397 first appears in π at position 72,051 of the decimal expansion (the 72,051ordinal-suffix:st 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.