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472,133

472,133 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.).

472,133 (four hundred seventy-two thousand one hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x73445.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
504
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
331,274
Square (n²)
222,909,569,689
Cube (n³)
105,242,963,865,976,637
Divisor count
2
σ(n) — sum of divisors
472,134
φ(n) — Euler's totient
472,132

Primality

472,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 472133
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 472,133)
1 × 472133
First multiples
472,133 · 944,266 (double) · 1,416,399 · 1,888,532 · 2,360,665 · 2,832,798 · 3,304,931 · 3,777,064 · 4,249,197 · 4,721,330

Sums & aliquot sequence

As a sum of two squares: 322² + 607²
As consecutive integers: 236,066 + 236,067

Continued fraction of √n

√472,133 = [687; (8, 2, 1, 1, 1, 3, 1, 1, 19, 1, 1, 1, 5, 1, 1, 3, 1, 7, 4, 1, 3, 4, 1, 25, …)]

Period length 57 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand one hundred thirty-three
Ordinal
472133rd
Binary
1110011010001000101
Octal
1632105
Hexadecimal
0x73445
Base64
BzRF
One's complement
4,294,495,162 (32-bit)
Scientific notation
4.72133 × 10⁵
As a duration
472,133 s = 5 days, 11 hours, 8 minutes, 53 seconds
In other bases
ternary (3) 212222122102
quaternary (4) 1303101011
quinary (5) 110102013
senary (6) 14041445
septenary (7) 4004324
nonary (9) 788572
undecimal (11) 2a27a2
duodecimal (12) 1a9285
tridecimal (13) 136b8c
tetradecimal (14) c40bb
pentadecimal (15) 94d58

As an angle

472,133° = 1,311 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υοβρλγʹ
Chinese
四十七萬二千一百三十三
Chinese (financial)
肆拾柒萬貳仟壹佰參拾參
In other modern scripts
Eastern Arabic ٤٧٢١٣٣ Devanagari ४७२१३३ Bengali ৪৭২১৩৩ Tamil ௪௭௨௧௩௩ Thai ๔๗๒๑๓๓ Tibetan ༤༧༢༡༣༣ Khmer ៤៧២១៣៣ Lao ໔໗໒໑໓໓ Burmese ၄၇၂၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 472127, sexy with 472139.

Hex color
#073445
RGB(7, 52, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.69.

Address
0.7.52.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.52.69

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 472,133 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 472133 first appears in π at position 991,278 of the decimal expansion (the 991,278ordinal-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.