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474,413

474,413 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.).

474,413 (four hundred seventy-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, 0x73D2D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,344
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
314,474
Square (n²)
225,067,694,569
Cube (n³)
106,775,040,183,562,997
Divisor count
2
σ(n) — sum of divisors
474,414
φ(n) — Euler's totient
474,412

Primality

474,413 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 474413
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 474,413)
1 × 474413
First multiples
474,413 · 948,826 (double) · 1,423,239 · 1,897,652 · 2,372,065 · 2,846,478 · 3,320,891 · 3,795,304 · 4,269,717 · 4,744,130

Sums & aliquot sequence

As a sum of two squares: 262² + 637²
As consecutive integers: 237,206 + 237,207

Continued fraction of √n

√474,413 = [688; (1, 3, 2, 8, 1, 6, 3, 7, 105, 1, 4, 1, 5, 1, 1, 16, 17, 2, 1, 1, 1, 7, 1, 1, …)]

Representations

In words
four hundred seventy-four thousand four hundred thirteen
Ordinal
474413th
Binary
1110011110100101101
Octal
1636455
Hexadecimal
0x73D2D
Base64
Bz0t
One's complement
4,294,492,882 (32-bit)
Scientific notation
4.74413 × 10⁵
As a duration
474,413 s = 5 days, 11 hours, 46 minutes, 53 seconds
In other bases
ternary (3) 220002202212
quaternary (4) 1303310231
quinary (5) 110140123
senary (6) 14100205
septenary (7) 4014062
nonary (9) 802685
undecimal (11) 2a4485
duodecimal (12) 1aa665
tridecimal (13) 137c24
tetradecimal (14) c4c69
pentadecimal (15) 95878

As an angle

474,413° = 1,317 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υοδυιγʹ
Chinese
四十七萬四千四百一十三
Chinese (financial)
肆拾柒萬肆仟肆佰壹拾參
In other modern scripts
Eastern Arabic ٤٧٤٤١٣ Devanagari ४७४४१३ Bengali ৪৭৪৪১৩ Tamil ௪௭௪௪௧௩ Thai ๔๗๔๔๑๓ Tibetan ༤༧༤༤༡༣ Khmer ៤៧៤៤១៣ Lao ໔໗໔໔໑໓ Burmese ၄၇၄၄၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#073D2D
RGB(7, 61, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.61.45.

Address
0.7.61.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.61.45

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 474,413 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 474413 first appears in π at position 230,029 of the decimal expansion (the 230,029ordinal-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.