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47,964

47,964 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.).

47,964 (forty-seven thousand nine hundred sixty-four) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 571. Its proper divisors sum to 80,164, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xBB5C.

Abundant Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
30
Digit product
6,048
Digital root
3
Palindrome
No
Bit width
16 bits
Reversed
46,974
Recamán's sequence
a(65,964) = 47,964
Square (n²)
2,300,545,296
Cube (n³)
110,343,354,577,344
Divisor count
24
σ(n) — sum of divisors
128,128
φ(n) — Euler's totient
13,680
Sum of prime factors
585

Primality

Prime factorization: 2 2 × 3 × 7 × 571

Nearest primes: 47,963 (−1) · 47,969 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 571 · 1142 · 1713 · 2284 · 3426 · 3997 · 6852 · 7994 · 11991 · 15988 · 23982 (half) · 47964
Aliquot sum (sum of proper divisors): 80,164
Factor pairs (a × b = 47,964)
1 × 47964
2 × 23982
3 × 15988
4 × 11991
6 × 7994
7 × 6852
12 × 3997
14 × 3426
21 × 2284
28 × 1713
42 × 1142
84 × 571
First multiples
47,964 · 95,928 (double) · 143,892 · 191,856 · 239,820 · 287,784 · 335,748 · 383,712 · 431,676 · 479,640

Sums & aliquot sequence

As consecutive integers: 15,987 + 15,988 + 15,989 6,849 + 6,850 + … + 6,855 5,992 + 5,993 + … + 5,999 2,274 + 2,275 + … + 2,294
Aliquot sequence: 47,964 80,164 83,426 63,454 31,730 28,750 27,482 23,590 25,082 12,544 16,583 3,385 683 1 0 — terminates at zero

Continued fraction of √n

√47,964 = [219; (146, 438)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
forty-seven thousand nine hundred sixty-four
Ordinal
47964th
Binary
1011101101011100
Octal
135534
Hexadecimal
0xBB5C
Base64
u1w=
One's complement
17,571 (16-bit)
Scientific notation
4.7964 × 10⁴
As a duration
47,964 s = 13 hours, 19 minutes, 24 seconds
In other bases
ternary (3) 2102210110
quaternary (4) 23231130
quinary (5) 3013324
senary (6) 1010020
septenary (7) 256560
nonary (9) 72713
undecimal (11) 33044
duodecimal (12) 23910
tridecimal (13) 18aa7
tetradecimal (14) 136a0
pentadecimal (15) e329

As an angle

47,964° = 133 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μζϡξδʹ
Mayan (base 20)
𝋥·𝋳·𝋲·𝋤
Chinese
四萬七千九百六十四
Chinese (financial)
肆萬柒仟玖佰陸拾肆
In other modern scripts
Eastern Arabic ٤٧٩٦٤ Devanagari ४७९६४ Bengali ৪৭৯৬৪ Tamil ௪௭௯௬௪ Thai ๔๗๙๖๔ Tibetan ༤༧༩༦༤ Khmer ៤៧៩៦៤ Lao ໔໗໙໖໔ Burmese ၄၇၉၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 47,964 = 0
e — Euler's number (e)
Digit 47,964 = 1
φ — Golden ratio (φ)
Digit 47,964 = 0
√2 — Pythagoras's (√2)
Digit 47,964 = 7
ln 2 — Natural log of 2
Digit 47,964 = 1
γ — Euler-Mascheroni (γ)
Digit 47,964 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 47964, here are decompositions:

  • 13 + 47951 = 47964
  • 17 + 47947 = 47964
  • 31 + 47933 = 47964
  • 47 + 47917 = 47964
  • 53 + 47911 = 47964
  • 61 + 47903 = 47964
  • 83 + 47881 = 47964
  • 107 + 47857 = 47964

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Mweols
U+BB5C
Other letter (Lo)

UTF-8 encoding: EB AD 9C (3 bytes).

Hex color
#00BB5C
RGB(0, 187, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.187.92.

Address
0.0.187.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.187.92

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

Position in π

The digit sequence 47964 first appears in π at position 51,353 of the decimal expansion (the 51,353ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.