number.wiki
Live analysis

15,998

15,998 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.).

15,998 (fifteen thousand nine hundred ninety-eight) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 19 × 421. Written other ways, in hexadecimal, 0x3E7E.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
32
Digit product
3,240
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
89,951
Recamán's sequence
a(45,319) = 15,998
Square (n²)
255,936,004
Cube (n³)
4,094,464,191,992
Divisor count
8
σ(n) — sum of divisors
25,320
φ(n) — Euler's totient
7,560
Sum of prime factors
442

Primality

Prime factorization: 2 × 19 × 421

Nearest primes: 15,991 (−7) · 16,001 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 19 · 38 · 421 · 842 · 7999 (half) · 15998
Aliquot sum (sum of proper divisors): 9,322
Factor pairs (a × b = 15,998)
1 × 15998
2 × 7999
19 × 842
38 × 421
First multiples
15,998 · 31,996 (double) · 47,994 · 63,992 · 79,990 · 95,988 · 111,986 · 127,984 · 143,982 · 159,980

Sums & aliquot sequence

As consecutive integers: 3,998 + 3,999 + 4,000 + 4,001 833 + 834 + … + 851 173 + 174 + … + 248
Aliquot sequence: 15,998 9,322 5,078 2,542 1,490 1,210 1,184 1,210 — enters a cycle

Continued fraction of √n

√15,998 = [126; (2, 14, 2, 1, 1, 1, 1, 1, 4, 1, 7, 2, 1, 22, 3, 6, 3, 22, 1, 2, 7, 1, 4, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
fifteen thousand nine hundred ninety-eight
Ordinal
15998th
Binary
11111001111110
Octal
37176
Hexadecimal
0x3E7E
Base64
Pn4=
One's complement
49,537 (16-bit)
Scientific notation
1.5998 × 10⁴
As a duration
15,998 s = 4 hours, 26 minutes, 38 seconds
In other bases
ternary (3) 210221112
quaternary (4) 3321332
quinary (5) 1002443
senary (6) 202022
septenary (7) 64433
nonary (9) 23845
undecimal (11) 11024
duodecimal (12) 9312
tridecimal (13) 7388
tetradecimal (14) 5b8a
pentadecimal (15) 4b18

As an angle

15,998° = 44 × 360° + 158°
158° ≈ 2.758 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιεϡϟηʹ
Mayan (base 20)
𝋡·𝋳·𝋳·𝋲
Chinese
一萬五千九百九十八
Chinese (financial)
壹萬伍仟玖佰玖拾捌
In other modern scripts
Eastern Arabic ١٥٩٩٨ Devanagari १५९९८ Bengali ১৫৯৯৮ Tamil ௧௫௯௯௮ Thai ๑๕๙๙๘ Tibetan ༡༥༩༩༨ Khmer ១៥៩៩៨ Lao ໑໕໙໙໘ Burmese ၁၅၉၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 15,998 = 4
e — Euler's number (e)
Digit 15,998 = 4
φ — Golden ratio (φ)
Digit 15,998 = 8
√2 — Pythagoras's (√2)
Digit 15,998 = 2
ln 2 — Natural log of 2
Digit 15,998 = 8
γ — Euler-Mascheroni (γ)
Digit 15,998 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 15998, here are decompositions:

  • 7 + 15991 = 15998
  • 61 + 15937 = 15998
  • 79 + 15919 = 15998
  • 97 + 15901 = 15998
  • 109 + 15889 = 15998
  • 139 + 15859 = 15998
  • 181 + 15817 = 15998
  • 211 + 15787 = 15998

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3E7E
U+3E7E
Other letter (Lo)

UTF-8 encoding: E3 B9 BE (3 bytes).

Hex color
#003E7E
RGB(0, 62, 126)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.62.126.

Address
0.0.62.126
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.62.126

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

Musical pitch

Heard as a frequency, 15,998 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B9 (15804.3 Hz, +21¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, -41¢)
  • Baroque pitch (A4 = 415 Hz): C10 (15792.7 Hz, +22¢)
Position in π

The digit sequence 15998 first appears in π at position 107,004 of the decimal expansion (the 107,004ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.