number.wiki
Live analysis

472,993

472,993 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.).

472,993 (four hundred seventy-two thousand nine hundred ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x737A1.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
34
Digit product
13,608
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
399,274
Square (n²)
223,722,378,049
Cube (n³)
105,819,118,760,530,657
Divisor count
2
σ(n) — sum of divisors
472,994
φ(n) — Euler's totient
472,992

Primality

472,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 472993
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 472,993)
1 × 472993
First multiples
472,993 · 945,986 (double) · 1,418,979 · 1,891,972 · 2,364,965 · 2,837,958 · 3,310,951 · 3,783,944 · 4,256,937 · 4,729,930

Sums & aliquot sequence

As a sum of two squares: 32² + 687²
As consecutive integers: 236,496 + 236,497

Continued fraction of √n

√472,993 = [687; (1, 2, 1, 11, 2, 2, 1, 2, 1, 1, 1, 13, 3, 1, 5, 2, 7, 1, 2, 8, 1, 2, 2, 1, …)]

Representations

In words
four hundred seventy-two thousand nine hundred ninety-three
Ordinal
472993rd
Binary
1110011011110100001
Octal
1633641
Hexadecimal
0x737A1
Base64
Bzeh
One's complement
4,294,494,302 (32-bit)
Scientific notation
4.72993 × 10⁵
As a duration
472,993 s = 5 days, 11 hours, 23 minutes, 13 seconds
In other bases
ternary (3) 220000211021
quaternary (4) 1303132201
quinary (5) 110113433
senary (6) 14045441
septenary (7) 4006663
nonary (9) 800737
undecimal (11) 2a3404
duodecimal (12) 1a9881
tridecimal (13) 1373a1
tetradecimal (14) c4533
pentadecimal (15) 9522d

As an angle

472,993° = 1,313 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υοβϡϟγʹ
Chinese
四十七萬二千九百九十三
Chinese (financial)
肆拾柒萬貳仟玖佰玖拾參
In other modern scripts
Eastern Arabic ٤٧٢٩٩٣ Devanagari ४७२९९३ Bengali ৪৭২৯৯৩ Tamil ௪௭௨௯௯௩ Thai ๔๗๒๙๙๓ Tibetan ༤༧༢༩༩༣ Khmer ៤៧២៩៩៣ Lao ໔໗໒໙໙໓ Burmese ၄၇၂၉၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0737A1
RGB(7, 55, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.161.

Address
0.7.55.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.55.161

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 472,993 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 472993 first appears in π at position 775,184 of the decimal expansion (the 775,184ordinal-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

  • 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.