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2,993

2,993 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.).

2,993 (two thousand nine hundred ninety-three) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 41 × 73. Written other ways, in Roman numerals it is MMCMXCIII and in binary, 101110110001.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
23
Digit product
486
Digital root
5
Palindrome
No
Bit width
12 bits
Reversed
3,992
Recamán's sequence
a(1,813) = 2,993
Square (n²)
8,958,049
Cube (n³)
26,811,440,657
Divisor count
4
σ(n) — sum of divisors
3,108
φ(n) — Euler's totient
2,880
Sum of prime factors
114

Primality

Prime factorization: 41 × 73

Nearest primes: 2,971 (−22) · 2,999 (+6)

Divisors & multiples

All divisors (4)
1 · 41 · 73 · 2993
Aliquot sum (sum of proper divisors): 115
Factor pairs (a × b = 2,993)
1 × 2993
41 × 73
First multiples
2,993 · 5,986 (double) · 8,979 · 11,972 · 14,965 · 17,958 · 20,951 · 23,944 · 26,937 · 29,930

Sums & aliquot sequence

As a sum of two squares: 17² + 52² = 28² + 47²
As consecutive integers: 1,496 + 1,497 53 + 54 + … + 93 5 + 6 + … + 77
Aliquot sequence: 2,993 115 29 1 0 — terminates at zero

Continued fraction of √n

√2,993 = [54; (1, 2, 2, 2, 1, 108)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
two thousand nine hundred ninety-three
Ordinal
2993rd
Roman numeral
MMCMXCIII
Binary
101110110001
Octal
5661
Hexadecimal
0xBB1
Base64
C7E=
One's complement
62,542 (16-bit)
Scientific notation
2.993 × 10³
As a duration
2,993 s = 49 minutes, 53 seconds
In other bases
ternary (3) 11002212
quaternary (4) 232301
quinary (5) 43433
senary (6) 21505
septenary (7) 11504
nonary (9) 4085
undecimal (11) 2281
duodecimal (12) 1895
tridecimal (13) 1493
tetradecimal (14) 113b
pentadecimal (15) d48

As an angle

2,993° = 8 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵βϡϟγʹ
Mayan (base 20)
𝋧·𝋩·𝋭
Chinese
二千九百九十三
Chinese (financial)
貳仟玖佰玖拾參
In other modern scripts
Eastern Arabic ٢٩٩٣ Devanagari २९९३ Bengali ২৯৯৩ Tamil ௨௯௯௩ Thai ๒๙๙๓ Tibetan ༢༩༩༣ Khmer ២៩៩៣ Lao ໒໙໙໓ Burmese ၂၉၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 2,993 = 4
e — Euler's number (e)
Digit 2,993 = 3
φ — Golden ratio (φ)
Digit 2,993 = 7
√2 — Pythagoras's (√2)
Digit 2,993 = 3
ln 2 — Natural log of 2
Digit 2,993 = 1
γ — Euler-Mascheroni (γ)
Digit 2,993 = 8

Also seen as

Unicode codepoint
Tamil Letter Rra
U+0BB1
Other letter (Lo)

UTF-8 encoding: E0 AE B1 (3 bytes).

Hex color
#000BB1
RGB(0, 11, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.177.

Address
0.0.11.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.11.177

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

Musical pitch

Heard as a frequency, 2,993 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +19¢)
  • Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -43¢)
  • Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +20¢)
Position in π

The digit sequence 2993 first appears in π at position 57,029 of the decimal expansion (the 57,029ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.