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6,993

6,993 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

6,993 (six thousand nine hundred ninety-three) is an odd 4-digit number. It is a composite number with 16 divisors, and factors as 3³ × 7 × 37. Written other ways, in hexadecimal, 0x1B51.

Arithmetic Number Deficient Number Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
27
Digit product
1,458
Digital root
9
Palindrome
No
Bit width
13 bits
Reversed
3,996
Recamán's sequence
a(177,025) = 6,993
Square (n²)
48,902,049
Cube (n³)
341,972,028,657
Divisor count
16
σ(n) — sum of divisors
12,160
φ(n) — Euler's totient
3,888
Sum of prime factors
53

Primality

Prime factorization: 3 3 × 7 × 37

Nearest primes: 6,991 (−2) · 6,997 (+4)

Divisors & multiples

All divisors (16)
1 · 3 · 7 · 9 · 21 · 27 · 37 · 63 · 111 · 189 · 259 · 333 · 777 · 999 · 2331 · 6993
Aliquot sum (sum of proper divisors): 5,167
Factor pairs (a × b = 6,993)
1 × 6993
3 × 2331
7 × 999
9 × 777
21 × 333
27 × 259
37 × 189
63 × 111
First multiples
6,993 · 13,986 (double) · 20,979 · 27,972 · 34,965 · 41,958 · 48,951 · 55,944 · 62,937 · 69,930

Sums & aliquot sequence

As consecutive integers: 3,496 + 3,497 2,330 + 2,331 + 2,332 1,163 + 1,164 + 1,165 + 1,166 + 1,167 + 1,168 996 + 997 + … + 1,002
Aliquot sequence: 6,993 5,167 1 0 — terminates at zero

Continued fraction of √n

√6,993 = [83; (1, 1, 1, 1, 1, 17, 1, 22, 1, 17, 1, 1, 1, 1, 1, 166)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
six thousand nine hundred ninety-three
Ordinal
6993rd
Binary
1101101010001
Octal
15521
Hexadecimal
0x1B51
Base64
G1E=
One's complement
58,542 (16-bit)
Scientific notation
6.993 × 10³
As a duration
6,993 s = 1 hour, 56 minutes, 33 seconds
In other bases
ternary (3) 100121000
quaternary (4) 1231101
quinary (5) 210433
senary (6) 52213
septenary (7) 26250
nonary (9) 10530
undecimal (11) 5288
duodecimal (12) 4069
tridecimal (13) 324c
tetradecimal (14) 2797
pentadecimal (15) 2113

As an angle

6,993° = 19 × 360° + 153°
153° ≈ 2.67 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ϛϡϟγʹ
Mayan (base 20)
𝋱·𝋩·𝋭
Chinese
六千九百九十三
Chinese (financial)
陸仟玖佰玖拾參
In other modern scripts
Eastern Arabic ٦٩٩٣ Devanagari ६९९३ Bengali ৬৯৯৩ Tamil ௬௯௯௩ Thai ๖๙๙๓ Tibetan ༦༩༩༣ Khmer ៦៩៩៣ Lao ໖໙໙໓ Burmese ၆၉၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 6,993 = 7
e — Euler's number (e)
Digit 6,993 = 5
φ — Golden ratio (φ)
Digit 6,993 = 7
√2 — Pythagoras's (√2)
Digit 6,993 = 7
ln 2 — Natural log of 2
Digit 6,993 = 4
γ — Euler-Mascheroni (γ)
Digit 6,993 = 8

Also seen as

Unicode codepoint
Balinese Digit One
U+1B51
Decimal digit (Nd)

UTF-8 encoding: E1 AD 91 (3 bytes).

Hex color
#001B51
RGB(0, 27, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.81.

Address
0.0.27.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.27.81

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

Musical pitch

Heard as a frequency, 6,993 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -12¢)
  • Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +26¢)
  • Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -10¢)
Position in π

The digit sequence 6993 first appears in π at position 3,293 of the decimal expansion (the 3,293ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.