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478,421

478,421 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.).

478,421 (four hundred seventy-eight thousand four hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x74CD5.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,792
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
124,874
Square (n²)
228,886,653,241
Cube (n³)
109,504,181,530,212,461
Divisor count
2
σ(n) — sum of divisors
478,422
φ(n) — Euler's totient
478,420

Primality

478,421 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 478421
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 478,421)
1 × 478421
First multiples
478,421 · 956,842 (double) · 1,435,263 · 1,913,684 · 2,392,105 · 2,870,526 · 3,348,947 · 3,827,368 · 4,305,789 · 4,784,210

Sums & aliquot sequence

As a sum of two squares: 361² + 590²
As consecutive integers: 239,210 + 239,211

Continued fraction of √n

√478,421 = [691; (1, 2, 8, 9, 1, 4, 1, 24, 3, 9, 55, 4, 2, 2, 25, 1, 2, 4, 24, 1, 11, 1, 2, 1, …)]

Representations

In words
four hundred seventy-eight thousand four hundred twenty-one
Ordinal
478421st
Binary
1110100110011010101
Octal
1646325
Hexadecimal
0x74CD5
Base64
B0zV
One's complement
4,294,488,874 (32-bit)
Scientific notation
4.78421 × 10⁵
As a duration
478,421 s = 5 days, 12 hours, 53 minutes, 41 seconds
In other bases
ternary (3) 220022021022
quaternary (4) 1310303111
quinary (5) 110302141
senary (6) 14130525
septenary (7) 4031546
nonary (9) 808238
undecimal (11) 2a7499
duodecimal (12) 1b0a45
tridecimal (13) 1399b8
tetradecimal (14) c64cd
pentadecimal (15) 96b4b

As an angle

478,421° = 1,328 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵υοηυκαʹ
Chinese
四十七萬八千四百二十一
Chinese (financial)
肆拾柒萬捌仟肆佰貳拾壹
In other modern scripts
Eastern Arabic ٤٧٨٤٢١ Devanagari ४७८४२१ Bengali ৪৭৮৪২১ Tamil ௪௭௮௪௨௧ Thai ๔๗๘๔๒๑ Tibetan ༤༧༨༤༢༡ Khmer ៤៧៨៤២១ Lao ໔໗໘໔໒໑ Burmese ၄၇၈၄၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 478417, sexy with 478427.

Hex color
#074CD5
RGB(7, 76, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.76.213.

Address
0.7.76.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.76.213

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 478,421 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 478421 first appears in π at position 63,004 of the decimal expansion (the 63,004ordinal-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.