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4,988

4,988 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.).

4,988 (four thousand nine hundred eighty-eight) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 29 × 43. Written other ways, in hexadecimal, 0x137C.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
29
Digit product
2,304
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
8,894
Recamán's sequence
a(28,152) = 4,988
Square (n²)
24,880,144
Cube (n³)
124,102,158,272
Divisor count
12
σ(n) — sum of divisors
9,240
φ(n) — Euler's totient
2,352
Sum of prime factors
76

Primality

Prime factorization: 2 2 × 29 × 43

Nearest primes: 4,987 (−1) · 4,993 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 29 · 43 · 58 · 86 · 116 · 172 · 1247 · 2494 (half) · 4988
Aliquot sum (sum of proper divisors): 4,252
Factor pairs (a × b = 4,988)
1 × 4988
2 × 2494
4 × 1247
29 × 172
43 × 116
58 × 86
First multiples
4,988 · 9,976 (double) · 14,964 · 19,952 · 24,940 · 29,928 · 34,916 · 39,904 · 44,892 · 49,880

Sums & aliquot sequence

As consecutive integers: 620 + 621 + … + 627 158 + 159 + … + 186 95 + 96 + … + 137
Aliquot sequence: 4,988 4,252 3,196 2,852 2,524 1,900 2,440 3,140 3,496 3,704 3,256 3,584 4,600 6,560 9,316 8,072 7,078 — unresolved within range

Continued fraction of √n

√4,988 = [70; (1, 1, 1, 2, 19, 1, 4, 10, 1, 1, 1, 34, 1, 1, 1, 10, 4, 1, 19, 2, 1, 1, 1, 140)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
four thousand nine hundred eighty-eight
Ordinal
4988th
Binary
1001101111100
Octal
11574
Hexadecimal
0x137C
Base64
E3w=
One's complement
60,547 (16-bit)
Scientific notation
4.988 × 10³
As a duration
4,988 s = 1 hour, 23 minutes, 8 seconds
In other bases
ternary (3) 20211202
quaternary (4) 1031330
quinary (5) 124423
senary (6) 35032
septenary (7) 20354
nonary (9) 6752
undecimal (11) 3825
duodecimal (12) 2a78
tridecimal (13) 2369
tetradecimal (14) 1b64
pentadecimal (15) 1728
Palindromic in base 3

As an angle

4,988° = 13 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δϡπηʹ
Mayan (base 20)
𝋬·𝋩·𝋨
Chinese
四千九百八十八
Chinese (financial)
肆仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ٤٩٨٨ Devanagari ४९८८ Bengali ৪৯৮৮ Tamil ௪௯௮௮ Thai ๔๙๘๘ Tibetan ༤༩༨༨ Khmer ៤៩៨៨ Lao ໔໙໘໘ Burmese ၄၉၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 4,988 = 8
e — Euler's number (e)
Digit 4,988 = 9
φ — Golden ratio (φ)
Digit 4,988 = 0
√2 — Pythagoras's (√2)
Digit 4,988 = 7
ln 2 — Natural log of 2
Digit 4,988 = 0
γ — Euler-Mascheroni (γ)
Digit 4,988 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4988, here are decompositions:

  • 19 + 4969 = 4988
  • 31 + 4957 = 4988
  • 37 + 4951 = 4988
  • 79 + 4909 = 4988
  • 127 + 4861 = 4988
  • 157 + 4831 = 4988
  • 199 + 4789 = 4988
  • 229 + 4759 = 4988

Showing the first eight; more decompositions exist.

Unicode codepoint
Ethiopic Number Ten Thousand
U+137C
Other number (No)

UTF-8 encoding: E1 8D BC (3 bytes).

Hex color
#00137C
RGB(0, 19, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.124.

Address
0.0.19.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.124

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

Musical pitch

Heard as a frequency, 4,988 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +3¢)
  • Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, +41¢)
  • Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +5¢)
Position in π

The digit sequence 4988 first appears in π at position 1,776 of the decimal expansion (the 1,776ordinal-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.