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468,137

468,137 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.).

468,137 (four hundred sixty-eight thousand one hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x724A9.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
4,032
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
731,864
Square (n²)
219,152,250,769
Cube (n³)
102,593,277,218,247,353
Divisor count
2
σ(n) — sum of divisors
468,138
φ(n) — Euler's totient
468,136

Primality

468,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 468137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 468,137)
1 × 468137
First multiples
468,137 · 936,274 (double) · 1,404,411 · 1,872,548 · 2,340,685 · 2,808,822 · 3,276,959 · 3,745,096 · 4,213,233 · 4,681,370

Sums & aliquot sequence

As a sum of two squares: 184² + 659²
As consecutive integers: 234,068 + 234,069

Continued fraction of √n

√468,137 = [684; (4, 1, 6, 1, 1, 1, 3, 13, 85, 2, 4, 1, 1, 6, 1, 7, 1, 5, 1, 1, 2, 20, 1, 79, …)]

Representations

In words
four hundred sixty-eight thousand one hundred thirty-seven
Ordinal
468137th
Binary
1110010010010101001
Octal
1622251
Hexadecimal
0x724A9
Base64
BySp
One's complement
4,294,499,158 (32-bit)
Scientific notation
4.68137 × 10⁵
As a duration
468,137 s = 5 days, 10 hours, 2 minutes, 17 seconds
In other bases
ternary (3) 212210011102
quaternary (4) 1302102221
quinary (5) 104440022
senary (6) 14011145
septenary (7) 3656555
nonary (9) 783142
undecimal (11) 29a79a
duodecimal (12) 1a6ab5
tridecimal (13) 135107
tetradecimal (14) c2865
pentadecimal (15) 93a92

As an angle

468,137° = 1,300 × 360° + 137°
137° ≈ 2.391 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξηρλζʹ
Chinese
四十六萬八千一百三十七
Chinese (financial)
肆拾陸萬捌仟壹佰參拾柒
In other modern scripts
Eastern Arabic ٤٦٨١٣٧ Devanagari ४६८१३७ Bengali ৪৬৮১৩৭ Tamil ௪௬௮௧௩௭ Thai ๔๖๘๑๓๗ Tibetan ༤༦༨༡༣༧ Khmer ៤៦៨១៣៧ Lao ໔໖໘໑໓໗ Burmese ၄၆၈၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 468133.

Hex color
#0724A9
RGB(7, 36, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.36.169.

Address
0.7.36.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.36.169

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 468,137 and was likely granted around 1891.

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

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.