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3,998

3,998 is a composite number, even.

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 Odious Number Recamán's Sequence Self Number Semiprime Squarefree

Properties

Parity
Even
Digit count
4
Digit sum
29
Digit product
1,944
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
8,993
Recamán's sequence
a(14,395) = 3,998
Square (n²)
15,984,004
Cube (n³)
63,904,047,992
Divisor count
4
σ(n) — sum of divisors
6,000
φ(n) — Euler's totient
1,998
Sum of prime factors
2,001

Primality

Prime factorization: 2 × 1999

Nearest primes: 3,989 (−9) · 4,001 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 1999 (half) · 3998
Aliquot sum (sum of proper divisors): 2,002
Factor pairs (a × b = 3,998)
1 × 3998
2 × 1999
First multiples
3,998 · 7,996 (double) · 11,994 · 15,992 · 19,990 · 23,988 · 27,986 · 31,984 · 35,982 · 39,980

Sums & aliquot sequence

As consecutive integers: 998 + 999 + 1,000 + 1,001
Aliquot sequence: 3,998 2,002 2,030 2,290 1,850 1,684 1,270 1,034 694 350 394 200 265 59 1 0 — terminates at zero

Representations

In words
three thousand nine hundred ninety-eight
Ordinal
3998th
Roman numeral
MMMCMXCVIII
Binary
111110011110
Octal
7636
Hexadecimal
0xF9E
Base64
D54=
One's complement
61,537 (16-bit)
In other bases
ternary (3) 12111002
quaternary (4) 332132
quinary (5) 111443
senary (6) 30302
septenary (7) 14441
nonary (9) 5432
undecimal (11) 3005
duodecimal (12) 2392
tridecimal (13) 1a87
tetradecimal (14) 1658
pentadecimal (15) 12b8

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γϡϟηʹ
Mayan (base 20)
𝋩·𝋳·𝋲
Chinese
三千九百九十八
Chinese (financial)
參仟玖佰玖拾捌
In other modern scripts
Eastern Arabic ٣٩٩٨ Devanagari ३९९८ Bengali ৩৯৯৮ Tamil ௩௯௯௮ Thai ๓๙๙๘ Tibetan ༣༩༩༨ Khmer ៣៩៩៨ Lao ໓໙໙໘ Burmese ၃၉၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 3,998 = 0
e — Euler's number (e)
Digit 3,998 = 9
φ — Golden ratio (φ)
Digit 3,998 = 3
√2 — Pythagoras's (√2)
Digit 3,998 = 7
ln 2 — Natural log of 2
Digit 3,998 = 3
γ — Euler-Mascheroni (γ)
Digit 3,998 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3998, here are decompositions:

  • 31 + 3967 = 3998
  • 67 + 3931 = 3998
  • 79 + 3919 = 3998
  • 109 + 3889 = 3998
  • 151 + 3847 = 3998
  • 229 + 3769 = 3998
  • 271 + 3727 = 3998
  • 307 + 3691 = 3998

Showing the first eight; more decompositions exist.

Unicode codepoint
Tibetan Subjoined Letter Nna
U+0F9E
Non-spacing mark (Mn)

UTF-8 encoding: E0 BE 9E (3 bytes).

Hex color
#000F9E
RGB(0, 15, 158)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.158.

Address
0.0.15.158
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.158

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

Position in π

The digit sequence 3998 first appears in π at position 11,279 of the decimal expansion (the 11,279ordinal-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.