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20,724

20,724 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.).

20,724 (twenty thousand seven hundred twenty-four) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 157. Its proper divisors sum to 32,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x50F4.

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

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
42,702
Recamán's sequence
a(42,391) = 20,724
Square (n²)
429,484,176
Cube (n³)
8,900,630,063,424
Divisor count
24
σ(n) — sum of divisors
53,088
φ(n) — Euler's totient
6,240
Sum of prime factors
175

Primality

Prime factorization: 2 2 × 3 × 11 × 157

Nearest primes: 20,719 (−5) · 20,731 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 132 · 157 · 314 · 471 · 628 · 942 · 1727 · 1884 · 3454 · 5181 · 6908 · 10362 (half) · 20724
Aliquot sum (sum of proper divisors): 32,364
Factor pairs (a × b = 20,724)
1 × 20724
2 × 10362
3 × 6908
4 × 5181
6 × 3454
11 × 1884
12 × 1727
22 × 942
33 × 628
44 × 471
66 × 314
132 × 157
First multiples
20,724 · 41,448 (double) · 62,172 · 82,896 · 103,620 · 124,344 · 145,068 · 165,792 · 186,516 · 207,240

Sums & aliquot sequence

As consecutive integers: 6,907 + 6,908 + 6,909 2,587 + 2,588 + … + 2,594 1,879 + 1,880 + … + 1,889 852 + 853 + … + 875
Aliquot sequence: 20,724 32,364 54,996 73,356 97,836 138,708 212,006 110,698 79,094 41,434 20,720 35,824 33,616 37,808 40,312 35,288 37,072 — unresolved within range

Continued fraction of √n

√20,724 = [143; (1, 22, 1, 286)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
twenty thousand seven hundred twenty-four
Ordinal
20724th
Binary
101000011110100
Octal
50364
Hexadecimal
0x50F4
Base64
UPQ=
One's complement
44,811 (16-bit)
Scientific notation
2.0724 × 10⁴
As a duration
20,724 s = 5 hours, 45 minutes, 24 seconds
In other bases
ternary (3) 1001102120
quaternary (4) 11003310
quinary (5) 1130344
senary (6) 235540
septenary (7) 114264
nonary (9) 31376
undecimal (11) 14630
duodecimal (12) bbb0
tridecimal (13) 9582
tetradecimal (14) 77a4
pentadecimal (15) 6219

As an angle

20,724° = 57 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κψκδʹ
Mayan (base 20)
𝋢·𝋫·𝋰·𝋤
Chinese
二萬零七百二十四
Chinese (financial)
貳萬零柒佰貳拾肆
In other modern scripts
Eastern Arabic ٢٠٧٢٤ Devanagari २०७२४ Bengali ২০৭২৪ Tamil ௨௦௭௨௪ Thai ๒๐๗๒๔ Tibetan ༢༠༧༢༤ Khmer ២០៧២៤ Lao ໒໐໗໒໔ Burmese ၂၀၇၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 20,724 = 6
e — Euler's number (e)
Digit 20,724 = 4
φ — Golden ratio (φ)
Digit 20,724 = 6
√2 — Pythagoras's (√2)
Digit 20,724 = 0
ln 2 — Natural log of 2
Digit 20,724 = 8
γ — Euler-Mascheroni (γ)
Digit 20,724 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20724, here are decompositions:

  • 5 + 20719 = 20724
  • 7 + 20717 = 20724
  • 17 + 20707 = 20724
  • 31 + 20693 = 20724
  • 43 + 20681 = 20724
  • 61 + 20663 = 20724
  • 83 + 20641 = 20724
  • 97 + 20627 = 20724

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-50F4
U+50F4
Other letter (Lo)

UTF-8 encoding: E5 83 B4 (3 bytes).

Hex color
#0050F4
RGB(0, 80, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.80.244.

Address
0.0.80.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.80.244

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

Position in π

The digit sequence 20724 first appears in π at position 129,424 of the decimal expansion (the 129,424ordinal-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

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