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6,998

6,998 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.).

6,998 (six thousand nine hundred ninety-eight) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 3,499. Written other ways, in hexadecimal, 0x1B56.

Arithmetic Number Cube-Free Deficient Number Evil Number Flippable Happy Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
32
Digit product
3,888
Digital root
5
Palindrome
No
Bit width
13 bits
Reversed
8,996
Flips to (rotate 180°)
8,669
Recamán's sequence
a(177,015) = 6,998
Square (n²)
48,972,004
Cube (n³)
342,706,083,992
Divisor count
4
σ(n) — sum of divisors
10,500
φ(n) — Euler's totient
3,498
Sum of prime factors
3,501

Primality

Prime factorization: 2 × 3499

Nearest primes: 6,997 (−1) · 7,001 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 3499 (half) · 6998
Aliquot sum (sum of proper divisors): 3,502
Factor pairs (a × b = 6,998)
1 × 6998
2 × 3499
First multiples
6,998 · 13,996 (double) · 20,994 · 27,992 · 34,990 · 41,988 · 48,986 · 55,984 · 62,982 · 69,980

Sums & aliquot sequence

As consecutive integers: 1,748 + 1,749 + 1,750 + 1,751
Aliquot sequence: 6,998 3,502 2,114 1,534 986 634 320 442 314 160 218 112 136 134 70 74 40 — unresolved within range

Continued fraction of √n

√6,998 = [83; (1, 1, 1, 8, 7, 6, 3, 2, 1, 1, 12, 3, 1, 1, 3, 1, 4, 1, 82, 1, 4, 1, 3, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
six thousand nine hundred ninety-eight
Ordinal
6998th
Binary
1101101010110
Octal
15526
Hexadecimal
0x1B56
Base64
G1Y=
One's complement
58,537 (16-bit)
Scientific notation
6.998 × 10³
As a duration
6,998 s = 1 hour, 56 minutes, 38 seconds
In other bases
ternary (3) 100121012
quaternary (4) 1231112
quinary (5) 210443
senary (6) 52222
septenary (7) 26255
nonary (9) 10535
undecimal (11) 5292
duodecimal (12) 4072
tridecimal (13) 3254
tetradecimal (14) 279c
pentadecimal (15) 2118

As an angle

6,998° = 19 × 360° + 158°
158° ≈ 2.758 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϛϡϟηʹ
Mayan (base 20)
𝋱·𝋩·𝋲
Chinese
六千九百九十八
Chinese (financial)
陸仟玖佰玖拾捌
In other modern scripts
Eastern Arabic ٦٩٩٨ Devanagari ६९९८ Bengali ৬৯৯৮ Tamil ௬௯௯௮ Thai ๖๙๙๘ Tibetan ༦༩༩༨ Khmer ៦៩៩៨ Lao ໖໙໙໘ Burmese ၆၉၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 6,998 = 2
e — Euler's number (e)
Digit 6,998 = 7
φ — Golden ratio (φ)
Digit 6,998 = 9
√2 — Pythagoras's (√2)
Digit 6,998 = 9
ln 2 — Natural log of 2
Digit 6,998 = 6
γ — Euler-Mascheroni (γ)
Digit 6,998 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6998, here are decompositions:

  • 7 + 6991 = 6998
  • 31 + 6967 = 6998
  • 37 + 6961 = 6998
  • 127 + 6871 = 6998
  • 157 + 6841 = 6998
  • 307 + 6691 = 6998
  • 337 + 6661 = 6998
  • 379 + 6619 = 6998

Showing the first eight; more decompositions exist.

Unicode codepoint
Balinese Digit Six
U+1B56
Decimal digit (Nd)

UTF-8 encoding: E1 AD 96 (3 bytes).

Hex color
#001B56
RGB(0, 27, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.86.

Address
0.0.27.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.27.86

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

Musical pitch

Heard as a frequency, 6,998 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -10¢)
  • Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +27¢)
  • Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -9¢)
Position in π

The digit sequence 6998 first appears in π at position 3,216 of the decimal expansion (the 3,216ordinal-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.