Live analysis

5,988

5,988 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.).

5,988 (five thousand nine hundred eighty-eight) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 499. Its proper divisors sum to 8,012, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1764.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

5,976 5,977 5,978 5,979 5,980 5,981 5,982 5,983 5,984 5,985 5,986 5,987 5,988 5,989 5,990 5,991 5,992 5,993 5,994 5,995 5,996 5,997 5,998 5,999 6,000

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 30
Digit product: 2,880
Digital root: 3
Palindrome: No
Bit width: 13 bits
Reversed: 8,895
Recamán's sequence: a(12,787) = 5,988
Square (n²): 35,856,144
Cube (n³): 214,706,590,272
Divisor count: 12
σ(n) — sum of divisors: 14,000
φ(n) — Euler's totient: 1,992
Sum of prime factors: 506

Primality

Prime factorization: 2 ² × 3 × 499

Nearest primes: 5,987 (−1) · 6,007 (+19)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 499 · 998 · 1497 · 1996 · 2994 (half) · 5988

Aliquot sum (sum of proper divisors): 8,012

Factor pairs (a × b = 5,988)

1 × 5988

2 × 2994

3 × 1996

4 × 1497

6 × 998

12 × 499

First multiples

5,988 · 11,976 (double) · 17,964 · 23,952 · 29,940 · 35,928 · 41,916 · 47,904 · 53,892 · 59,880

Sums & aliquot sequence

As consecutive integers: 1,995 + 1,996 + 1,997 745 + 746 + … + 752 238 + 239 + … + 261

Aliquot sequence: 5,988 → 8,012 → 6,016 → 6,224 → 5,866 → 4,214 → 3,310 → 2,666 → 1,558 → 962 → 634 → 320 → 442 → 314 → 160 → 218 → 112 — unresolved within range

Continued fraction of √n

√5,988 = [77; (2, 1, 1, 1, 1, 1, 1, 4, 13, 1, 5, 1, 3, 1, 50, 1, 3, 1, 5, 1, 13, 4, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: five thousand nine hundred eighty-eight
Ordinal: 5988th
Binary: 1011101100100
Octal: 13544
Hexadecimal: 0x1764
Base64: F2Q=
One's complement: 59,547 (16-bit)
Scientific notation: 5.988 × 10³
As a duration: 5,988 s = 1 hour, 39 minutes, 48 seconds

In other bases

ternary (3) 22012210

quaternary (4) 1131210

quinary (5) 142423

senary (6) 43420

septenary (7) 23313

nonary (9) 8183

undecimal (11) 4554

duodecimal (12) 3570

tridecimal (13) 2958

tetradecimal (14) 227a

pentadecimal (15) 1b93

Palindromic in base 11

As an angle

5,988° = 16 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵εϡπηʹ
Mayan (base 20): 𝋮·𝋳·𝋨
Chinese: 五千九百八十八
Chinese (financial): 伍仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ٥٩٨٨ Devanagari ५९८८ Bengali ৫৯৮৮ Tamil ௫௯௮௮ Thai ๕๙๘๘ Tibetan ༥༩༨༨ Khmer ៥៩៨៨ Lao ໕໙໘໘ Burmese ၅၉၈၈

Digit at this position in famous constants

π — Pi (π): Digit 5,988 = 9
e — Euler's number (e): Digit 5,988 = 9
φ — Golden ratio (φ): Digit 5,988 = 2
√2 — Pythagoras's (√2): Digit 5,988 = 0
ln 2 — Natural log of 2: Digit 5,988 = 3
γ — Euler-Mascheroni (γ): Digit 5,988 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5988, here are decompositions:

7 + 5981 = 5988
61 + 5927 = 5988
107 + 5881 = 5988
109 + 5879 = 5988
127 + 5861 = 5988
131 + 5857 = 5988
137 + 5851 = 5988
139 + 5849 = 5988

Showing the first eight; more decompositions exist.

Unicode codepoint

ᝤ

Tagbanwa Letter Ga

U+1764

Other letter (Lo)

UTF-8 encoding: E1 9D A4 (3 bytes).

Lookup U+1764 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001764

RGB(0, 23, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.100.

Address: 0.0.23.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.23.100

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

Musical pitch

Heard as a frequency, 5,988 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +20¢)
Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -43¢)
Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +21¢)

Position in π

The digit sequence 5988 first appears in π at position 5,389 of the decimal expansion (the 5,389ordinal-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 5988 on Pi Search ↗