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472,721

472,721 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.).

472,721 (four hundred seventy-two thousand seven hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x73691.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
784
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
127,274
Square (n²)
223,465,143,841
Cube (n³)
105,636,666,261,661,361
Divisor count
2
σ(n) — sum of divisors
472,722
φ(n) — Euler's totient
472,720

Primality

472,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 472721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 472,721)
1 × 472721
First multiples
472,721 · 945,442 (double) · 1,418,163 · 1,890,884 · 2,363,605 · 2,836,326 · 3,309,047 · 3,781,768 · 4,254,489 · 4,727,210

Sums & aliquot sequence

As a sum of two squares: 460² + 511²
As consecutive integers: 236,360 + 236,361

Continued fraction of √n

√472,721 = [687; (1, 1, 4, 1, 4, 4, 4, 1, 2, 16, 4, 1, 2, 1, 2, 2, 1, 1, 7, 1, 20, 1, 1, 1, …)]

Representations

In words
four hundred seventy-two thousand seven hundred twenty-one
Ordinal
472721st
Binary
1110011011010010001
Octal
1633221
Hexadecimal
0x73691
Base64
BzaR
One's complement
4,294,494,574 (32-bit)
Scientific notation
4.72721 × 10⁵
As a duration
472,721 s = 5 days, 11 hours, 18 minutes, 41 seconds
In other bases
ternary (3) 220000110012
quaternary (4) 1303122101
quinary (5) 110111341
senary (6) 14044305
septenary (7) 4006124
nonary (9) 800405
undecimal (11) 2a3187
duodecimal (12) 1a9695
tridecimal (13) 137222
tetradecimal (14) c43bb
pentadecimal (15) 950eb

As an angle

472,721° = 1,313 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵υοβψκαʹ
Chinese
四十七萬二千七百二十一
Chinese (financial)
肆拾柒萬貳仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ٤٧٢٧٢١ Devanagari ४७२७२१ Bengali ৪৭২৭২১ Tamil ௪௭௨௭௨௧ Thai ๔๗๒๗๒๑ Tibetan ༤༧༢༧༢༡ Khmer ៤៧២៧២១ Lao ໔໗໒໗໒໑ Burmese ၄၇၂၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#073691
RGB(7, 54, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.145.

Address
0.7.54.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.54.145

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 472,721 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 472721 first appears in π at position 65,528 of the decimal expansion (the 65,528ordinal-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.