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3,993

3,993 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.).
Arithmetic Number Deficient Number Evil Number Gapful Number Palindrome Recamán's Sequence

Properties

Parity
Odd
Digit count
4
Digit sum
24
Digit product
729
Digital root
6
Palindrome
Yes
Bit width
12 bits
Recamán's sequence
a(14,405) = 3,993
Square (n²)
15,944,049
Cube (n³)
63,664,587,657
Divisor count
8
σ(n) — sum of divisors
5,856
φ(n) — Euler's totient
2,420
Sum of prime factors
36

Primality

Prime factorization: 3 × 11 3

Nearest primes: 3,989 (−4) · 4,001 (+8)

Divisors & multiples

All divisors (8)
1 · 3 · 11 · 33 · 121 · 363 · 1331 · 3993
Aliquot sum (sum of proper divisors): 1,863
Factor pairs (a × b = 3,993)
1 × 3993
3 × 1331
11 × 363
33 × 121
First multiples
3,993 · 7,986 (double) · 11,979 · 15,972 · 19,965 · 23,958 · 27,951 · 31,944 · 35,937 · 39,930

Sums & aliquot sequence

As consecutive integers: 1,996 + 1,997 1,330 + 1,331 + 1,332 663 + 664 + 665 + 666 + 667 + 668 358 + 359 + … + 368
Aliquot sequence: 3,993 1,863 1,041 351 209 31 1 0 — terminates at zero

Representations

In words
three thousand nine hundred ninety-three
Ordinal
3993rd
Roman numeral
MMMCMXCIII
Binary
111110011001
Octal
7631
Hexadecimal
0xF99
Base64
D5k=
One's complement
61,542 (16-bit)
In other bases
ternary (3) 12110220
quaternary (4) 332121
quinary (5) 111433
senary (6) 30253
septenary (7) 14433
nonary (9) 5426
undecimal (11) 3000
duodecimal (12) 2389
tridecimal (13) 1a82
tetradecimal (14) 1653
pentadecimal (15) 12b3

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵γϡϟγʹ
Mayan (base 20)
𝋩·𝋳·𝋭
Chinese
三千九百九十三
Chinese (financial)
參仟玖佰玖拾參
In other modern scripts
Eastern Arabic ٣٩٩٣ Devanagari ३९९३ Bengali ৩৯৯৩ Tamil ௩௯௯௩ Thai ๓๙๙๓ Tibetan ༣༩༩༣ Khmer ៣៩៩៣ Lao ໓໙໙໓ Burmese ၃၉၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 3,993 = 1
e — Euler's number (e)
Digit 3,993 = 5
φ — Golden ratio (φ)
Digit 3,993 = 7
√2 — Pythagoras's (√2)
Digit 3,993 = 3
ln 2 — Natural log of 2
Digit 3,993 = 9
γ — Euler-Mascheroni (γ)
Digit 3,993 = 1

Also seen as

Unicode codepoint
Tibetan Subjoined Letter Nya
U+0F99
Non-spacing mark (Mn)

UTF-8 encoding: E0 BE 99 (3 bytes).

Hex color
#000F99
RGB(0, 15, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.153.

Address
0.0.15.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.153

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

Position in π

The digit sequence 3993 first appears in π at position 43 of the decimal expansion (the 43ordinal-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.