Live analysis

13,988

13,988 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.).

13,988 (thirteen thousand nine hundred eighty-eight) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 269. Written other ways, in hexadecimal, 0x36A4.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Self Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

13,976 13,977 13,978 13,979 13,980 13,981 13,982 13,983 13,984 13,985 13,986 13,987 13,988 13,989 13,990 13,991 13,992 13,993 13,994 13,995 13,996 13,997 13,998 13,999 14,000

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Properties

Parity: Even
Digit count: 5
Digit sum: 29
Digit product: 1,728
Digital root: 2
Palindrome: No
Bit width: 14 bits
Reversed: 88,931
Recamán's sequence: a(20,740) = 13,988
Square (n²): 195,664,144
Cube (n³): 2,736,950,046,272
Divisor count: 12
σ(n) — sum of divisors: 26,460
φ(n) — Euler's totient: 6,432
Sum of prime factors: 286

Primality

Prime factorization: 2 ² × 13 × 269

Nearest primes: 13,967 (−21) · 13,997 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 13 · 26 · 52 · 269 · 538 · 1076 · 3497 · 6994 (half) · 13988

Aliquot sum (sum of proper divisors): 12,472

Factor pairs (a × b = 13,988)

1 × 13988

2 × 6994

4 × 3497

13 × 1076

26 × 538

52 × 269

First multiples

13,988 · 27,976 (double) · 41,964 · 55,952 · 69,940 · 83,928 · 97,916 · 111,904 · 125,892 · 139,880

Sums & aliquot sequence

As a sum of two squares: 8² + 118² = 38² + 112²

As consecutive integers: 1,745 + 1,746 + … + 1,752 1,070 + 1,071 + … + 1,082 83 + 84 + … + 186

Aliquot sequence: 13,988 → 12,472 → 10,928 → 10,276 → 10,332 → 20,244 → 33,964 → 34,020 → 88,284 → 147,364 → 163,996 → 164,052 → 346,668 → 578,004 → 992,460 → 2,394,420 → 5,269,068 — unresolved within range

Continued fraction of √n

√13,988 = [118; (3, 1, 2, 4, 10, 18, 10, 4, 2, 1, 3, 236)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand nine hundred eighty-eight
Ordinal: 13988th
Binary: 11011010100100
Octal: 33244
Hexadecimal: 0x36A4
Base64: NqQ=
One's complement: 51,547 (16-bit)
Scientific notation: 1.3988 × 10⁴
As a duration: 13,988 s = 3 hours, 53 minutes, 8 seconds

In other bases

ternary (3) 201012002

quaternary (4) 3122210

quinary (5) 421423

senary (6) 144432

septenary (7) 55532

nonary (9) 21162

undecimal (11) a567

duodecimal (12) 8118

tridecimal (13) 64a0

tetradecimal (14) 5152

pentadecimal (15) 4228

Palindromic in base 12

As an angle

13,988° = 38 × 360° + 308°

308° ≈ 5.376 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγϡπηʹ
Mayan (base 20): 𝋡·𝋮·𝋳·𝋨
Chinese: 一萬三千九百八十八
Chinese (financial): 壹萬參仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ١٣٩٨٨ Devanagari १३९८८ Bengali ১৩৯৮৮ Tamil ௧௩௯௮௮ Thai ๑๓๙๘๘ Tibetan ༡༣༩༨༨ Khmer ១៣៩៨៨ Lao ໑໓໙໘໘ Burmese ၁၃၉၈၈

Digit at this position in famous constants

π — Pi (π): Digit 13,988 = 8
e — Euler's number (e): Digit 13,988 = 2
φ — Golden ratio (φ): Digit 13,988 = 1
√2 — Pythagoras's (√2): Digit 13,988 = 8
ln 2 — Natural log of 2: Digit 13,988 = 4
γ — Euler-Mascheroni (γ): Digit 13,988 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13988, here are decompositions:

67 + 13921 = 13988
109 + 13879 = 13988
157 + 13831 = 13988
181 + 13807 = 13988
199 + 13789 = 13988
229 + 13759 = 13988
277 + 13711 = 13988
307 + 13681 = 13988

Showing the first eight; more decompositions exist.

Unicode codepoint

㚤

CJK Unified Ideograph-36A4

U+36A4

Other letter (Lo)

UTF-8 encoding: E3 9A A4 (3 bytes).

Lookup U+36A4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0036A4

RGB(0, 54, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.164.

Address: 0.0.54.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.54.164

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

Musical pitch

Heard as a frequency, 13,988 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -11¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +26¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -10¢)

Position in π

The digit sequence 13988 first appears in π at position 124,669 of the decimal expansion (the 124,669ordinal-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 13988 on Pi Search ↗