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464,801

464,801 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.).

464,801 (four hundred sixty-four thousand eight hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x717A1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
108,464
Recamán's sequence
a(132,674) = 464,801
Square (n²)
216,039,969,601
Cube (n³)
100,415,593,910,514,401
Divisor count
2
σ(n) — sum of divisors
464,802
φ(n) — Euler's totient
464,800

Primality

464,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 464801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 464,801)
1 × 464801
First multiples
464,801 · 929,602 (double) · 1,394,403 · 1,859,204 · 2,324,005 · 2,788,806 · 3,253,607 · 3,718,408 · 4,183,209 · 4,648,010

Sums & aliquot sequence

As a sum of two squares: 49² + 680²
As consecutive integers: 232,400 + 232,401

Continued fraction of √n

√464,801 = [681; (1, 3, 4, 1, 1, 272, 6, 1, 1, 4, 3, 54, 4, 2, 1, 23, 1, 1, 1, 10, 4, 15, 1, 3, …)]

Representations

In words
four hundred sixty-four thousand eight hundred one
Ordinal
464801st
Binary
1110001011110100001
Octal
1613641
Hexadecimal
0x717A1
Base64
Bxeh
One's complement
4,294,502,494 (32-bit)
Scientific notation
4.64801 × 10⁵
As a duration
464,801 s = 5 days, 9 hours, 6 minutes, 41 seconds
In other bases
ternary (3) 212121120212
quaternary (4) 1301132201
quinary (5) 104333201
senary (6) 13543505
septenary (7) 3644051
nonary (9) 777525
undecimal (11) 298237
duodecimal (12) 1a4b95
tridecimal (13) 13373c
tetradecimal (14) c1561
pentadecimal (15) 92abb

As an angle

464,801° = 1,291 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵υξδωαʹ
Chinese
四十六萬四千八百零一
Chinese (financial)
肆拾陸萬肆仟捌佰零壹
In other modern scripts
Eastern Arabic ٤٦٤٨٠١ Devanagari ४६४८०१ Bengali ৪৬৪৮০১ Tamil ௪௬௪௮௦௧ Thai ๔๖๔๘๐๑ Tibetan ༤༦༤༨༠༡ Khmer ៤៦៤៨០១ Lao ໔໖໔໘໐໑ Burmese ၄၆၄၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 464803.

Hex color
#0717A1
RGB(7, 23, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.23.161.

Address
0.7.23.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.23.161

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 464,801 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 464801 first appears in π at position 311,197 of the decimal expansion (the 311,197ordinal-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.