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19,964

19,964 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.).

19,964 (nineteen thousand nine hundred sixty-four) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 23 × 31. Its proper divisors sum to 23,044, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4DFC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
29
Digit product
1,944
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
46,991
Square (n²)
398,561,296
Cube (n³)
7,956,877,713,344
Divisor count
24
σ(n) — sum of divisors
43,008
φ(n) — Euler's totient
7,920
Sum of prime factors
65

Primality

Prime factorization: 2 2 × 7 × 23 × 31

Nearest primes: 19,963 (−1) · 19,973 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 23 · 28 · 31 · 46 · 62 · 92 · 124 · 161 · 217 · 322 · 434 · 644 · 713 · 868 · 1426 · 2852 · 4991 · 9982 (half) · 19964
Aliquot sum (sum of proper divisors): 23,044
Factor pairs (a × b = 19,964)
1 × 19964
2 × 9982
4 × 4991
7 × 2852
14 × 1426
23 × 868
28 × 713
31 × 644
46 × 434
62 × 322
92 × 217
124 × 161
First multiples
19,964 · 39,928 (double) · 59,892 · 79,856 · 99,820 · 119,784 · 139,748 · 159,712 · 179,676 · 199,640

Sums & aliquot sequence

As consecutive integers: 2,849 + 2,850 + … + 2,855 2,492 + 2,493 + … + 2,499 857 + 858 + … + 879 629 + 630 + … + 659
Aliquot sequence: 19,964 23,044 23,100 60,228 114,492 208,068 347,004 754,740 1,866,060 4,607,316 9,020,844 17,040,100 29,081,948 30,182,404 30,182,460 78,197,700 191,785,020 — unresolved within range

Continued fraction of √n

√19,964 = [141; (3, 2, 2, 34, 1, 10, 3, 70, 3, 10, 1, 34, 2, 2, 3, 282)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
nineteen thousand nine hundred sixty-four
Ordinal
19964th
Binary
100110111111100
Octal
46774
Hexadecimal
0x4DFC
Base64
Tfw=
One's complement
45,571 (16-bit)
Scientific notation
1.9964 × 10⁴
As a duration
19,964 s = 5 hours, 32 minutes, 44 seconds
In other bases
ternary (3) 1000101102
quaternary (4) 10313330
quinary (5) 1114324
senary (6) 232232
septenary (7) 112130
nonary (9) 30342
undecimal (11) 13aaa
duodecimal (12) b678
tridecimal (13) 9119
tetradecimal (14) 73c0
pentadecimal (15) 5dae
Palindromic in base 6, base 13

As an angle

19,964° = 55 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιθϡξδʹ
Mayan (base 20)
𝋢·𝋩·𝋲·𝋤
Chinese
一萬九千九百六十四
Chinese (financial)
壹萬玖仟玖佰陸拾肆
In other modern scripts
Eastern Arabic ١٩٩٦٤ Devanagari १९९६४ Bengali ১৯৯৬৪ Tamil ௧௯௯௬௪ Thai ๑๙๙๖๔ Tibetan ༡༩༩༦༤ Khmer ១៩៩៦៤ Lao ໑໙໙໖໔ Burmese ၁၉၉၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 19,964 = 6
e — Euler's number (e)
Digit 19,964 = 0
φ — Golden ratio (φ)
Digit 19,964 = 3
√2 — Pythagoras's (√2)
Digit 19,964 = 8
ln 2 — Natural log of 2
Digit 19,964 = 9
γ — Euler-Mascheroni (γ)
Digit 19,964 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 19964, here are decompositions:

  • 3 + 19961 = 19964
  • 37 + 19927 = 19964
  • 73 + 19891 = 19964
  • 97 + 19867 = 19964
  • 103 + 19861 = 19964
  • 151 + 19813 = 19964
  • 163 + 19801 = 19964
  • 211 + 19753 = 19964

Showing the first eight; more decompositions exist.

Unicode codepoint
Hexagram For Inner Truth
U+4DFC
Other symbol (So)

UTF-8 encoding: E4 B7 BC (3 bytes).

Hex color
#004DFC
RGB(0, 77, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.77.252.

Address
0.0.77.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.77.252

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

Musical pitch

Heard as a frequency, 19,964 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯10 (19912.1 Hz, +5¢)
  • Scientific pitch (C4 = 256 Hz): D♯10 (19484 Hz, +42¢)
  • Baroque pitch (A4 = 415 Hz): E10 (19897.5 Hz, +6¢)
Position in π

The digit sequence 19964 first appears in π at position 134,965 of the decimal expansion (the 134,965ordinal-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.