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481,721

481,721 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.).

481,721 (four hundred eighty-one 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, 0x759B9.

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
448
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
127,184
Square (n²)
232,055,121,841
Cube (n³)
111,785,825,348,368,361
Divisor count
2
σ(n) — sum of divisors
481,722
φ(n) — Euler's totient
481,720

Primality

481,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 481721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 481,721)
1 × 481721
First multiples
481,721 · 963,442 (double) · 1,445,163 · 1,926,884 · 2,408,605 · 2,890,326 · 3,372,047 · 3,853,768 · 4,335,489 · 4,817,210

Sums & aliquot sequence

As a sum of two squares: 139² + 680²
As consecutive integers: 240,860 + 240,861

Continued fraction of √n

√481,721 = [694; (16, 3, 34, 2, 1, 1, 1, 9, 1, 1, 2, 1, 1, 2, 1, 7, 1, 9, 9, 1, 7, 1, 2, 1, …)]

Period length 37 — the block in parentheses repeats forever.

Representations

In words
four hundred eighty-one thousand seven hundred twenty-one
Ordinal
481721st
Binary
1110101100110111001
Octal
1654671
Hexadecimal
0x759B9
Base64
B1m5
One's complement
4,294,485,574 (32-bit)
Scientific notation
4.81721 × 10⁵
As a duration
481,721 s = 5 days, 13 hours, 48 minutes, 41 seconds
In other bases
ternary (3) 220110210112
quaternary (4) 1311212321
quinary (5) 110403341
senary (6) 14154105
septenary (7) 4044302
nonary (9) 813715
undecimal (11) 2a9a19
duodecimal (12) 1b2935
tridecimal (13) 13b356
tetradecimal (14) c77a9
pentadecimal (15) 97aeb

As an angle

481,721° = 1,338 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵υπαψκαʹ
Chinese
四十八萬一千七百二十一
Chinese (financial)
肆拾捌萬壹仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ٤٨١٧٢١ Devanagari ४८१७२१ Bengali ৪৮১৭২১ Tamil ௪௮௧௭௨௧ Thai ๔๘๑๗๒๑ Tibetan ༤༨༡༧༢༡ Khmer ៤៨១៧២១ Lao ໔໘໑໗໒໑ Burmese ၄၈၁၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0759B9
RGB(7, 89, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.89.185.

Address
0.7.89.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.89.185

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 481,721 and was likely granted around 1892.

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

Position in π

The digit sequence 481721 first appears in π at position 731,526 of the decimal expansion (the 731,526ordinal-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.