number.wiki
Live analysis

472,711

472,711 is a prime, odd.

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.).

472,711 (four hundred seventy-two thousand seven hundred eleven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x73687.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
392
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
117,274
Square (n²)
223,455,689,521
Cube (n³)
105,629,962,449,161,431
Divisor count
2
σ(n) — sum of divisors
472,712
φ(n) — Euler's totient
472,710

Primality

472,711 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 472711
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 472,711)
1 × 472711
First multiples
472,711 · 945,422 (double) · 1,418,133 · 1,890,844 · 2,363,555 · 2,836,266 · 3,308,977 · 3,781,688 · 4,254,399 · 4,727,110

Sums & aliquot sequence

As consecutive integers: 236,355 + 236,356

Continued fraction of √n

√472,711 = [687; (1, 1, 5, 1, 3, 1, 1, 12, 1, 1, 5, 1, 457, 1, 1, 18, 2, 1, 38, 1, 1, 1, 1, 1, …)]

Representations

In words
four hundred seventy-two thousand seven hundred eleven
Ordinal
472711th
Binary
1110011011010000111
Octal
1633207
Hexadecimal
0x73687
Base64
BzaH
One's complement
4,294,494,584 (32-bit)
Scientific notation
4.72711 × 10⁵
As a duration
472,711 s = 5 days, 11 hours, 18 minutes, 31 seconds
In other bases
ternary (3) 220000102211
quaternary (4) 1303122013
quinary (5) 110111321
senary (6) 14044251
septenary (7) 4006111
nonary (9) 800384
undecimal (11) 2a3178
duodecimal (12) 1a9687
tridecimal (13) 137215
tetradecimal (14) c43b1
pentadecimal (15) 950e1

As an angle

472,711° = 1,313 × 360° + 31°
31° ≈ 0.541 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺
Greek (Milesian)
͵υοβψιαʹ
Chinese
四十七萬二千七百一十一
Chinese (financial)
肆拾柒萬貳仟柒佰壹拾壹
In other modern scripts
Eastern Arabic ٤٧٢٧١١ Devanagari ४७२७११ Bengali ৪৭২৭১১ Tamil ௪௭௨௭௧௧ Thai ๔๗๒๗๑๑ Tibetan ༤༧༢༧༡༡ Khmer ៤៧២៧១១ Lao ໔໗໒໗໑໑ Burmese ၄၇၂၇၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 472709.

Hex color
#073687
RGB(7, 54, 135)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.135.

Address
0.7.54.135
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.54.135

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 472,711 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 472711 first appears in π at position 797,192 of the decimal expansion (the 797,192ordinal-suffix:nd 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.