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15,980

15,980 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.).

15,980 (fifteen thousand nine hundred eighty) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 17 × 47. Its proper divisors sum to 20,308, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3E6C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
8,951
Recamán's sequence
a(45,355) = 15,980
Square (n²)
255,360,400
Cube (n³)
4,080,659,192,000
Divisor count
24
σ(n) — sum of divisors
36,288
φ(n) — Euler's totient
5,888
Sum of prime factors
73

Primality

Prime factorization: 2 2 × 5 × 17 × 47

Nearest primes: 15,973 (−7) · 15,991 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 17 · 20 · 34 · 47 · 68 · 85 · 94 · 170 · 188 · 235 · 340 · 470 · 799 · 940 · 1598 · 3196 · 3995 · 7990 (half) · 15980
Aliquot sum (sum of proper divisors): 20,308
Factor pairs (a × b = 15,980)
1 × 15980
2 × 7990
4 × 3995
5 × 3196
10 × 1598
17 × 940
20 × 799
34 × 470
47 × 340
68 × 235
85 × 188
94 × 170
First multiples
15,980 · 31,960 (double) · 47,940 · 63,920 · 79,900 · 95,880 · 111,860 · 127,840 · 143,820 · 159,800

Sums & aliquot sequence

As consecutive integers: 3,194 + 3,195 + 3,196 + 3,197 + 3,198 1,994 + 1,995 + … + 2,001 932 + 933 + … + 948 380 + 381 + … + 419
Aliquot sequence: 15,980 20,308 15,238 8,882 4,444 4,124 3,100 3,844 3,107 253 35 13 1 0 — terminates at zero

Continued fraction of √n

√15,980 = [126; (2, 2, 2, 1, 12, 1, 1, 1, 1, 62, 1, 1, 1, 1, 12, 1, 2, 2, 2, 252)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
fifteen thousand nine hundred eighty
Ordinal
15980th
Binary
11111001101100
Octal
37154
Hexadecimal
0x3E6C
Base64
Pmw=
One's complement
49,555 (16-bit)
Scientific notation
1.598 × 10⁴
As a duration
15,980 s = 4 hours, 26 minutes, 20 seconds
In other bases
ternary (3) 210220212
quaternary (4) 3321230
quinary (5) 1002410
senary (6) 201552
septenary (7) 64406
nonary (9) 23825
undecimal (11) 11008
duodecimal (12) 92b8
tridecimal (13) 7373
tetradecimal (14) 5b76
pentadecimal (15) 4b05

As an angle

15,980° = 44 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιεϡπʹ
Mayan (base 20)
𝋡·𝋳·𝋳·𝋠
Chinese
一萬五千九百八十
Chinese (financial)
壹萬伍仟玖佰捌拾
In other modern scripts
Eastern Arabic ١٥٩٨٠ Devanagari १५९८० Bengali ১৫৯৮০ Tamil ௧௫௯௮௦ Thai ๑๕๙๘๐ Tibetan ༡༥༩༨༠ Khmer ១៥៩៨០ Lao ໑໕໙໘໐ Burmese ၁၅၉၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 15,980 = 4
e — Euler's number (e)
Digit 15,980 = 8
φ — Golden ratio (φ)
Digit 15,980 = 0
√2 — Pythagoras's (√2)
Digit 15,980 = 4
ln 2 — Natural log of 2
Digit 15,980 = 2
γ — Euler-Mascheroni (γ)
Digit 15,980 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 15980, here are decompositions:

  • 7 + 15973 = 15980
  • 43 + 15937 = 15980
  • 61 + 15919 = 15980
  • 67 + 15913 = 15980
  • 73 + 15907 = 15980
  • 79 + 15901 = 15980
  • 103 + 15877 = 15980
  • 157 + 15823 = 15980

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3E6C
U+3E6C
Other letter (Lo)

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

Hex color
#003E6C
RGB(0, 62, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.62.108.

Address
0.0.62.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.62.108

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

Musical pitch

Heard as a frequency, 15,980 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B9 (15804.3 Hz, +19¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, -43¢)
  • Baroque pitch (A4 = 415 Hz): C10 (15792.7 Hz, +20¢)
Position in π

The digit sequence 15980 first appears in π at position 47,673 of the decimal expansion (the 47,673ordinal-suffix:rd 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.