Live analysis

16,998

16,998 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.).

16,998 (sixteen thousand nine hundred ninety-eight) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 2,833. Its proper divisors sum to 17,010, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4266.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Happy Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

16,986 16,987 16,988 16,989 16,990 16,991 16,992 16,993 16,994 16,995 16,996 16,997 16,998 16,999 17,000 17,001 17,002 17,003 17,004 17,005 17,006 17,007 17,008 17,009 17,010

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 33
Digit product: 3,888
Digital root: 6
Palindrome: No
Bit width: 15 bits
Reversed: 89,961
Flips to (rotate 180°): 86,691
Recamán's sequence: a(44,415) = 16,998
Square (n²): 288,932,004
Cube (n³): 4,911,266,203,992
Divisor count: 8
σ(n) — sum of divisors: 34,008
φ(n) — Euler's totient: 5,664
Sum of prime factors: 2,838

Primality

Prime factorization: 2 × 3 × 2833

Nearest primes: 16,993 (−5) · 17,011 (+13)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 2833 · 5666 · 8499 (half) · 16998

Aliquot sum (sum of proper divisors): 17,010

Factor pairs (a × b = 16,998)

1 × 16998

2 × 8499

3 × 5666

6 × 2833

First multiples

16,998 · 33,996 (double) · 50,994 · 67,992 · 84,990 · 101,988 · 118,986 · 135,984 · 152,982 · 169,980

Sums & aliquot sequence

As consecutive integers: 5,665 + 5,666 + 5,667 4,248 + 4,249 + 4,250 + 4,251 1,411 + 1,412 + … + 1,422

Aliquot sequence: 16,998 → 17,010 → 35,406 → 52,578 → 67,230 → 115,722 → 141,558 → 141,570 → 294,138 → 411,462 → 480,078 → 572,922 → 846,054 → 1,154,178 → 1,415,610 → 3,016,710 → 5,028,570 — unresolved within range

Continued fraction of √n

√16,998 = [130; (2, 1, 1, 1, 10, 1, 2, 2, 8, 1, 1, 3, 2, 1, 2, 1, 42, 1, 2, 1, 2, 3, 1, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: sixteen thousand nine hundred ninety-eight
Ordinal: 16998th
Binary: 100001001100110
Octal: 41146
Hexadecimal: 0x4266
Base64: QmY=
One's complement: 48,537 (16-bit)
Scientific notation: 1.6998 × 10⁴
As a duration: 16,998 s = 4 hours, 43 minutes, 18 seconds

In other bases

ternary (3) 212022120

quaternary (4) 10021212

quinary (5) 1020443

senary (6) 210410

septenary (7) 100362

nonary (9) 25276

undecimal (11) 11853

duodecimal (12) 9a06

tridecimal (13) 7977

tetradecimal (14) 62a2

pentadecimal (15) 5083

As an angle

16,998° = 47 × 360° + 78°

78° ≈ 1.361 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιϛϡϟηʹ
Mayan (base 20): 𝋢·𝋢·𝋩·𝋲
Chinese: 一萬六千九百九十八
Chinese (financial): 壹萬陸仟玖佰玖拾捌

In other modern scripts

Eastern Arabic ١٦٩٩٨ Devanagari १६९९८ Bengali ১৬৯৯৮ Tamil ௧௬௯௯௮ Thai ๑๖๙๙๘ Tibetan ༡༦༩༩༨ Khmer ១៦៩៩៨ Lao ໑໖໙໙໘ Burmese ၁၆၉၉၈

Digit at this position in famous constants

π — Pi (π): Digit 16,998 = 7
e — Euler's number (e): Digit 16,998 = 9
φ — Golden ratio (φ): Digit 16,998 = 7
√2 — Pythagoras's (√2): Digit 16,998 = 6
ln 2 — Natural log of 2: Digit 16,998 = 6
γ — Euler-Mascheroni (γ): Digit 16,998 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16998, here are decompositions:

5 + 16993 = 16998
11 + 16987 = 16998
17 + 16981 = 16998
19 + 16979 = 16998
61 + 16937 = 16998
67 + 16931 = 16998
71 + 16927 = 16998
97 + 16901 = 16998

Showing the first eight; more decompositions exist.

Unicode codepoint

䉦

CJK Unified Ideograph-4266

U+4266

Other letter (Lo)

UTF-8 encoding: E4 89 A6 (3 bytes).

Lookup U+4266 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#004266

RGB(0, 66, 102)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.66.102.

Address: 0.0.66.102
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.66.102

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

Musical pitch

Heard as a frequency, 16,998 Hz is closest to:

Concert pitch (A4 = 440 Hz): C10 (16744 Hz, +26¢)
Scientific pitch (C4 = 256 Hz): C♯10 (17358.2 Hz, -36¢)
Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +27¢)

Position in π

The digit sequence 16998 first appears in π at position 12,311 of the decimal expansion (the 12,311ordinal-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 16998 on Pi Search ↗