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4,998

4,998 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.).

4,998 (four thousand nine hundred ninety-eight) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2 × 3 × 7² × 17. Its proper divisors sum to 7,314, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1386.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
30
Digit product
2,592
Digital root
3
Palindrome
No
Bit width
13 bits
Reversed
8,994
Recamán's sequence
a(97,600) = 4,998
Square (n²)
24,980,004
Cube (n³)
124,850,059,992
Divisor count
24
σ(n) — sum of divisors
12,312
φ(n) — Euler's totient
1,344
Sum of prime factors
36

Primality

Prime factorization: 2 × 3 × 7 2 × 17

Nearest primes: 4,993 (−5) · 4,999 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 7 · 14 · 17 · 21 · 34 · 42 · 49 · 51 · 98 · 102 · 119 · 147 · 238 · 294 · 357 · 714 · 833 · 1666 · 2499 (half) · 4998
Aliquot sum (sum of proper divisors): 7,314
Factor pairs (a × b = 4,998)
1 × 4998
2 × 2499
3 × 1666
6 × 833
7 × 714
14 × 357
17 × 294
21 × 238
34 × 147
42 × 119
49 × 102
51 × 98
First multiples
4,998 · 9,996 (double) · 14,994 · 19,992 · 24,990 · 29,988 · 34,986 · 39,984 · 44,982 · 49,980

Sums & aliquot sequence

As consecutive integers: 1,665 + 1,666 + 1,667 1,248 + 1,249 + 1,250 + 1,251 711 + 712 + … + 717 411 + 412 + … + 422
Aliquot sequence: 4,998 7,314 8,238 8,250 14,214 15,738 16,998 17,010 35,406 52,578 67,230 115,722 141,558 141,570 294,138 411,462 480,078 — unresolved within range

Continued fraction of √n

√4,998 = [70; (1, 2, 3, 2, 1, 1, 2, 2, 2, 1, 1, 2, 3, 2, 1, 140)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
four thousand nine hundred ninety-eight
Ordinal
4998th
Binary
1001110000110
Octal
11606
Hexadecimal
0x1386
Base64
E4Y=
One's complement
60,537 (16-bit)
Scientific notation
4.998 × 10³
As a duration
4,998 s = 1 hour, 23 minutes, 18 seconds
In other bases
ternary (3) 20212010
quaternary (4) 1032012
quinary (5) 124443
senary (6) 35050
septenary (7) 20400
nonary (9) 6763
undecimal (11) 3834
duodecimal (12) 2a86
tridecimal (13) 2376
tetradecimal (14) 1b70
pentadecimal (15) 1733

As an angle

4,998° = 13 × 360° + 318°
318° ≈ 5.55 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δϡϟηʹ
Mayan (base 20)
𝋬·𝋩·𝋲
Chinese
四千九百九十八
Chinese (financial)
肆仟玖佰玖拾捌
In other modern scripts
Eastern Arabic ٤٩٩٨ Devanagari ४९९८ Bengali ৪৯৯৮ Tamil ௪௯௯௮ Thai ๔๙๙๘ Tibetan ༤༩༩༨ Khmer ៤៩៩៨ Lao ໔໙໙໘ Burmese ၄၉၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 4,998 = 4
e — Euler's number (e)
Digit 4,998 = 1
φ — Golden ratio (φ)
Digit 4,998 = 7
√2 — Pythagoras's (√2)
Digit 4,998 = 2
ln 2 — Natural log of 2
Digit 4,998 = 4
γ — Euler-Mascheroni (γ)
Digit 4,998 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4998, here are decompositions:

  • 5 + 4993 = 4998
  • 11 + 4987 = 4998
  • 29 + 4969 = 4998
  • 31 + 4967 = 4998
  • 41 + 4957 = 4998
  • 47 + 4951 = 4998
  • 61 + 4937 = 4998
  • 67 + 4931 = 4998

Showing the first eight; more decompositions exist.

Unicode codepoint
Ethiopic Syllable Bwee
U+1386
Other letter (Lo)

UTF-8 encoding: E1 8E 86 (3 bytes).

Hex color
#001386
RGB(0, 19, 134)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.134.

Address
0.0.19.134
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.134

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

Musical pitch

Heard as a frequency, 4,998 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +7¢)
  • Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, +45¢ — about midway to E8)
  • Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +8¢)
Position in π

The digit sequence 4998 first appears in π at position 26,876 of the decimal expansion (the 26,876ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.