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Number

6,397

6,397 is a prime, odd.

6,397 (six thousand three hundred ninety-seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x18FD.

Arithmetic Number Cube-Free Deficient Number Left-Truncatable Prime Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
25
Digit product
1,134
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
7,936
Recamán's sequence
a(27,106) = 6,397
Square (n²)
40,921,609
Cube (n³)
261,775,532,773
Divisor count
2
σ(n) — sum of divisors
6,398
φ(n) — Euler's totient
6,396

Primality

6,397 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 6397
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 6,397)
1 × 6397
First multiples
6,397 · 12,794 (double) · 19,191 · 25,588 · 31,985 · 38,382 · 44,779 · 51,176 · 57,573 · 63,970

Sums & aliquot sequence

As a sum of two squares: 54² + 59²
As consecutive integers: 3,198 + 3,199

Continued fraction of √n

√6,397 = [79; (1, 52, 3, 17, 2, 3, 1, 5, 6, 1, 3, 1, 1, 2, 1, 1, 12, 1, 2, 1, 39, 4, 13, 12, …)]

Period length 59 — the block in parentheses repeats forever.

Representations

In words
six thousand three hundred ninety-seven
Ordinal
6397th
Binary
1100011111101
Octal
14375
Hexadecimal
0x18FD
Base64
GP0=
One's complement
59,138 (16-bit)
Scientific notation
6.397 × 10³
As a duration
6,397 s = 1 hour, 46 minutes, 37 seconds
In other bases
ternary (3) 22202221
quaternary (4) 1203331
quinary (5) 201042
senary (6) 45341
septenary (7) 24436
nonary (9) 8687
undecimal (11) 4896
duodecimal (12) 3851
tridecimal (13) 2bb1
tetradecimal (14) 248d
pentadecimal (15) 1d67

As an angle

6,397° = 17 × 360° + 277°
277° ≈ 4.835 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϛτϟζʹ
Mayan (base 20)
𝋯·𝋳·𝋱
Chinese
六千三百九十七
Chinese (financial)
陸仟參佰玖拾柒
In other modern scripts
Eastern Arabic ٦٣٩٧ Devanagari ६३९७ Bengali ৬৩৯৭ Tamil ௬௩௯௭ Thai ๖๓๙๗ Tibetan ༦༣༩༧ Khmer ៦៣៩៧ Lao ໖໓໙໗ Burmese ၆၃၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 6,397 = 3
e — Euler's number (e)
Digit 6,397 = 4
φ — Golden ratio (φ)
Digit 6,397 = 7
√2 — Pythagoras's (√2)
Digit 6,397 = 1
ln 2 — Natural log of 2
Digit 6,397 = 8
γ — Euler-Mascheroni (γ)
Digit 6,397 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 6,389 (gap of 8)
  • Next prime: 6,421 (gap of 24)
Hex color
#0018FD
RGB(0, 24, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.24.253.

Address
0.0.24.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.24.253

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

Musical pitch

Heard as a frequency, 6,397 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G8 (6271.9 Hz, +34¢)
  • Scientific pitch (C4 = 256 Hz): G♯8 (6502 Hz, -28¢)
  • Baroque pitch (A4 = 415 Hz): G♯8 (6267.3 Hz, +35¢)
Position in π

The digit sequence 6397 first appears in π at position 5,262 of the decimal expansion (the 5,262ordinal-suffix:nd 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.