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467,713

467,713 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.).

467,713 (four hundred sixty-seven thousand seven hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x72301.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
3,528
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
317,764
Square (n²)
218,755,450,369
Cube (n³)
102,314,767,958,436,097
Divisor count
2
σ(n) — sum of divisors
467,714
φ(n) — Euler's totient
467,712

Primality

467,713 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 467713
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 467,713)
1 × 467713
First multiples
467,713 · 935,426 (double) · 1,403,139 · 1,870,852 · 2,338,565 · 2,806,278 · 3,273,991 · 3,741,704 · 4,209,417 · 4,677,130

Sums & aliquot sequence

As a sum of two squares: 127² + 672²
As consecutive integers: 233,856 + 233,857

Continued fraction of √n

√467,713 = [683; (1, 8, 1, 1, 3, 3, 3, 1, 1, 2, 4, 1, 3, 1, 3, 1, 3, 1, 1, 2, 5, 64, 1, 18, …)]

Representations

In words
four hundred sixty-seven thousand seven hundred thirteen
Ordinal
467713th
Binary
1110010001100000001
Octal
1621401
Hexadecimal
0x72301
Base64
ByMB
One's complement
4,294,499,582 (32-bit)
Scientific notation
4.67713 × 10⁵
As a duration
467,713 s = 5 days, 9 hours, 55 minutes, 13 seconds
In other bases
ternary (3) 212202120201
quaternary (4) 1302030001
quinary (5) 104431323
senary (6) 14005201
septenary (7) 3655411
nonary (9) 782521
undecimal (11) 29a444
duodecimal (12) 1a6801
tridecimal (13) 134b6c
tetradecimal (14) c2641
pentadecimal (15) 938ad

As an angle

467,713° = 1,299 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υξζψιγʹ
Chinese
四十六萬七千七百一十三
Chinese (financial)
肆拾陸萬柒仟柒佰壹拾參
In other modern scripts
Eastern Arabic ٤٦٧٧١٣ Devanagari ४६७७१३ Bengali ৪৬৭৭১৩ Tamil ௪௬௭௭௧௩ Thai ๔๖๗๗๑๓ Tibetan ༤༦༧༧༡༣ Khmer ៤៦៧៧១៣ Lao ໔໖໗໗໑໓ Burmese ၄၆၇၇၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#072301
RGB(7, 35, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.35.1.

Address
0.7.35.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.35.1

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 467,713 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 467713 first appears in π at position 148,898 of the decimal expansion (the 148,898ordinal-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.