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464,413

464,413 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.).

464,413 (four hundred sixty-four thousand four hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7161D.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
1,152
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
314,464
Square (n²)
215,679,434,569
Cube (n³)
100,164,333,246,492,997
Divisor count
2
σ(n) — sum of divisors
464,414
φ(n) — Euler's totient
464,412

Primality

464,413 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 464413
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 464,413)
1 × 464413
First multiples
464,413 · 928,826 (double) · 1,393,239 · 1,857,652 · 2,322,065 · 2,786,478 · 3,250,891 · 3,715,304 · 4,179,717 · 4,644,130

Sums & aliquot sequence

As a sum of two squares: 78² + 677²
As consecutive integers: 232,206 + 232,207

Continued fraction of √n

√464,413 = [681; (2, 11, 6, 1, 2, 3, 1, 2, 1, 8, 2, 2, 2, 1, 3, 2, 1, 1, 40, 1, 2, 2, 6, 1, …)]

Representations

In words
four hundred sixty-four thousand four hundred thirteen
Ordinal
464413th
Binary
1110001011000011101
Octal
1613035
Hexadecimal
0x7161D
Base64
BxYd
One's complement
4,294,502,882 (32-bit)
Scientific notation
4.64413 × 10⁵
As a duration
464,413 s = 5 days, 9 hours, 13 seconds
In other bases
ternary (3) 212121001111
quaternary (4) 1301120131
quinary (5) 104330123
senary (6) 13542021
septenary (7) 3642655
nonary (9) 777044
undecimal (11) 297a14
duodecimal (12) 1a4911
tridecimal (13) 133501
tetradecimal (14) c1365
pentadecimal (15) 9290d

As an angle

464,413° = 1,290 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υξδυιγʹ
Chinese
四十六萬四千四百一十三
Chinese (financial)
肆拾陸萬肆仟肆佰壹拾參
In other modern scripts
Eastern Arabic ٤٦٤٤١٣ Devanagari ४६४४१३ Bengali ৪৬৪৪১৩ Tamil ௪௬௪௪௧௩ Thai ๔๖๔๔๑๓ Tibetan ༤༦༤༤༡༣ Khmer ៤៦៤៤១៣ Lao ໔໖໔໔໑໓ Burmese ၄၆၄၄၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 464419.

Hex color
#07161D
RGB(7, 22, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.22.29.

Address
0.7.22.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.22.29

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 464,413 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 464413 first appears in π at position 786,587 of the decimal expansion (the 786,587ordinal-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.