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470,021

470,021 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.).

470,021 (four hundred seventy thousand twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x72C05.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
120,074
Square (n²)
220,919,740,441
Cube (n³)
103,836,917,321,819,261
Divisor count
2
σ(n) — sum of divisors
470,022
φ(n) — Euler's totient
470,020

Primality

470,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 470021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 470,021)
1 × 470021
First multiples
470,021 · 940,042 (double) · 1,410,063 · 1,880,084 · 2,350,105 · 2,820,126 · 3,290,147 · 3,760,168 · 4,230,189 · 4,700,210

Sums & aliquot sequence

As a sum of two squares: 305² + 614²
As consecutive integers: 235,010 + 235,011

Continued fraction of √n

√470,021 = [685; (1, 1, 2, 1, 1, 2, 7, 1, 1, 2, 2, 4, 2, 2, 3, 2, 2, 3, 4, 1, 4, 1, 1, 1, …)]

Representations

In words
four hundred seventy thousand twenty-one
Ordinal
470021st
Binary
1110010110000000101
Octal
1626005
Hexadecimal
0x72C05
Base64
BywF
One's complement
4,294,497,274 (32-bit)
Scientific notation
4.70021 × 10⁵
As a duration
470,021 s = 5 days, 10 hours, 33 minutes, 41 seconds
In other bases
ternary (3) 212212202012
quaternary (4) 1302300011
quinary (5) 110020041
senary (6) 14024005
septenary (7) 3665216
nonary (9) 785665
undecimal (11) 2a1152
duodecimal (12) 1a8005
tridecimal (13) 135c26
tetradecimal (14) c340d
pentadecimal (15) 943eb

As an angle

470,021° = 1,305 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓏺
Greek (Milesian)
͵υοκαʹ
Chinese
四十七萬零二十一
Chinese (financial)
肆拾柒萬零貳拾壹
In other modern scripts
Eastern Arabic ٤٧٠٠٢١ Devanagari ४७००२१ Bengali ৪৭০০২১ Tamil ௪௭௦௦௨௧ Thai ๔๗๐๐๒๑ Tibetan ༤༧༠༠༢༡ Khmer ៤៧០០២១ Lao ໔໗໐໐໒໑ Burmese ၄၇၀၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#072C05
RGB(7, 44, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.44.5.

Address
0.7.44.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.44.5

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 470,021 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 470021 first appears in π at position 79,064 of the decimal expansion (the 79,064ordinal-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.