Live analysis

2,988

2,988 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.).

2,988 (two thousand nine hundred eighty-eight) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 83. Its proper divisors sum to 4,656, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCMLXXXVIII and in binary, 101110101100.

Abundant Number Cube-Free Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

2,976 2,977 2,978 2,979 2,980 2,981 2,982 2,983 2,984 2,985 2,986 2,987 2,988 2,989 2,990 2,991 2,992 2,993 2,994 2,995 2,996 2,997 2,998 2,999 3,000

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 27
Digit product: 1,152
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 8,892
Recamán's sequence: a(2,035) = 2,988
Square (n²): 8,928,144
Cube (n³): 26,677,294,272
Divisor count: 18
σ(n) — sum of divisors: 7,644
φ(n) — Euler's totient: 984
Sum of prime factors: 93

Primality

Prime factorization: 2 ² × 3 ² × 83

Nearest primes: 2,971 (−17) · 2,999 (+11)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 83 · 166 · 249 · 332 · 498 · 747 · 996 · 1494 (half) · 2988

Aliquot sum (sum of proper divisors): 4,656

Factor pairs (a × b = 2,988)

1 × 2988

2 × 1494

3 × 996

4 × 747

6 × 498

9 × 332

12 × 249

18 × 166

36 × 83

First multiples

2,988 · 5,976 (double) · 8,964 · 11,952 · 14,940 · 17,928 · 20,916 · 23,904 · 26,892 · 29,880

Sums & aliquot sequence

As consecutive integers: 995 + 996 + 997 370 + 371 + … + 377 328 + 329 + … + 336 113 + 114 + … + 136

Aliquot sequence: 2,988 → 4,656 → 7,496 → 6,574 → 3,866 → 1,936 → 2,187 → 1,093 → 1 → 0 — terminates at zero

Continued fraction of √n

√2,988 = [54; (1, 1, 1, 26, 1, 1, 1, 108)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: two thousand nine hundred eighty-eight
Ordinal: 2988th
Roman numeral: MMCMLXXXVIII
Binary: 101110101100
Octal: 5654
Hexadecimal: 0xBAC
Base64: C6w=
One's complement: 62,547 (16-bit)
Scientific notation: 2.988 × 10³
As a duration: 2,988 s = 49 minutes, 48 seconds

In other bases

ternary (3) 11002200

quaternary (4) 232230

quinary (5) 43423

senary (6) 21500

septenary (7) 11466

nonary (9) 4080

undecimal (11) 2277

duodecimal (12) 1890

tridecimal (13) 148b

tetradecimal (14) 1136

pentadecimal (15) d43

As an angle

2,988° = 8 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵βϡπηʹ
Mayan (base 20): 𝋧·𝋩·𝋨
Chinese: 二千九百八十八
Chinese (financial): 貳仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ٢٩٨٨ Devanagari २९८८ Bengali ২৯৮৮ Tamil ௨௯௮௮ Thai ๒๙๘๘ Tibetan ༢༩༨༨ Khmer ២៩៨៨ Lao ໒໙໘໘ Burmese ၂၉၈၈

Digit at this position in famous constants

π — Pi (π): Digit 2,988 = 0
e — Euler's number (e): Digit 2,988 = 6
φ — Golden ratio (φ): Digit 2,988 = 7
√2 — Pythagoras's (√2): Digit 2,988 = 2
ln 2 — Natural log of 2: Digit 2,988 = 2
γ — Euler-Mascheroni (γ): Digit 2,988 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2988, here are decompositions:

17 + 2971 = 2988
19 + 2969 = 2988
31 + 2957 = 2988
61 + 2927 = 2988
71 + 2917 = 2988
79 + 2909 = 2988
101 + 2887 = 2988
109 + 2879 = 2988

Showing the first eight; more decompositions exist.

Hex color

#000BAC

RGB(0, 11, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.172.

Address: 0.0.11.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.172

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

Musical pitch

Heard as a frequency, 2,988 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +16¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -46¢ — about midway to F♯7)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +18¢)

Position in π

The digit sequence 2988 first appears in π at position 6,937 of the decimal expansion (the 6,937ordinal-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 2988 on Pi Search ↗