Live analysis

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.).

3,998 (three thousand nine hundred ninety-eight) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 1,999. Written other ways, in Roman numerals it is MMMCMXCVIII and in binary, 111110011110.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,986 3,987 3,988 3,989 3,990 3,991 3,992 3,993 3,994 3,995 3,996 3,997 3,998 3,999 4,000 4,001 4,002 4,003 4,004 4,005 4,006 4,007 4,008 4,009 4,010

less more

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

Continued fraction of √n

√3,998 = [63; (4, 2, 1, 5, 17, 1, 8, 11, 2, 1, 1, 1, 1, 62, 1, 1, 1, 1, 2, 11, 8, 1, 17, 5, …)]

Period length 28 — the block in parentheses repeats forever.

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)
Scientific notation: 3.998 × 10³
As a duration: 3,998 s = 1 hour, 6 minutes, 38 seconds

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

Palindromic in base 7

As an angle

3,998° = 11 × 360° + 38°

38° ≈ 0.663 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

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).

Lookup U+0F9E on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 3,998 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +20¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -42¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +22¢)

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.

Look up 3998 on Pi Search ↗