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2,488

2,488 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.).

2,488 (two thousand four hundred eighty-eight) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2³ × 311. Written other ways, in Roman numerals it is MMCDLXXXVIII and in binary, 100110111000.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
22
Digit product
512
Digital root
4
Palindrome
No
Bit width
12 bits
Reversed
8,842
Recamán's sequence
a(2,963) = 2,488
Square (n²)
6,190,144
Cube (n³)
15,401,078,272
Divisor count
8
σ(n) — sum of divisors
4,680
φ(n) — Euler's totient
1,240
Sum of prime factors
317

Primality

Prime factorization: 2 3 × 311

Nearest primes: 2,477 (−11) · 2,503 (+15)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 311 · 622 · 1244 (half) · 2488
Aliquot sum (sum of proper divisors): 2,192
Factor pairs (a × b = 2,488)
1 × 2488
2 × 1244
4 × 622
8 × 311
First multiples
2,488 · 4,976 (double) · 7,464 · 9,952 · 12,440 · 14,928 · 17,416 · 19,904 · 22,392 · 24,880

Sums & aliquot sequence

As consecutive integers: 148 + 149 + … + 163
Aliquot sequence: 2,488 2,192 2,086 1,514 760 1,040 1,564 1,460 1,648 1,576 1,394 874 566 286 218 112 136 — unresolved within range

Continued fraction of √n

√2,488 = [49; (1, 7, 3, 10, 1, 3, 4, 12, 4, 3, 1, 10, 3, 7, 1, 98)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
two thousand four hundred eighty-eight
Ordinal
2488th
Roman numeral
MMCDLXXXVIII
Binary
100110111000
Octal
4670
Hexadecimal
0x9B8
Base64
Cbg=
One's complement
63,047 (16-bit)
Scientific notation
2.488 × 10³
As a duration
2,488 s = 41 minutes, 28 seconds
In other bases
ternary (3) 10102011
quaternary (4) 212320
quinary (5) 34423
senary (6) 15304
septenary (7) 10153
nonary (9) 3364
undecimal (11) 1962
duodecimal (12) 1534
tridecimal (13) 1195
tetradecimal (14) c9a
pentadecimal (15) b0d

As an angle

2,488° = 6 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βυπηʹ
Mayan (base 20)
𝋦·𝋤·𝋨
Chinese
二千四百八十八
Chinese (financial)
貳仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ٢٤٨٨ Devanagari २४८८ Bengali ২৪৮৮ Tamil ௨௪௮௮ Thai ๒๔๘๘ Tibetan ༢༤༨༨ Khmer ២៤៨៨ Lao ໒໔໘໘ Burmese ၂၄၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 2,488 = 4
e — Euler's number (e)
Digit 2,488 = 4
φ — Golden ratio (φ)
Digit 2,488 = 1
√2 — Pythagoras's (√2)
Digit 2,488 = 1
ln 2 — Natural log of 2
Digit 2,488 = 8
γ — Euler-Mascheroni (γ)
Digit 2,488 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2488, here are decompositions:

  • 11 + 2477 = 2488
  • 29 + 2459 = 2488
  • 41 + 2447 = 2488
  • 47 + 2441 = 2488
  • 71 + 2417 = 2488
  • 89 + 2399 = 2488
  • 107 + 2381 = 2488
  • 131 + 2357 = 2488

Showing the first eight; more decompositions exist.

Unicode codepoint
Bengali Letter Sa
U+09B8
Other letter (Lo)

UTF-8 encoding: E0 A6 B8 (3 bytes).

Hex color
#0009B8
RGB(0, 9, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.184.

Address
0.0.9.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.9.184

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

Musical pitch

Heard as a frequency, 2,488 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯7 (2489 Hz, -1¢)
  • Scientific pitch (C4 = 256 Hz): D♯7 (2435.5 Hz, +37¢)
  • Baroque pitch (A4 = 415 Hz): E7 (2487.2 Hz, +1¢)
Position in π

The digit sequence 2488 first appears in π at position 22,677 of the decimal expansion (the 22,677ordinal-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