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480,101

480,101 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.).

480,101 (four hundred eighty thousand one hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x75365.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy 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
101,084
Square (n²)
230,496,970,201
Cube (n³)
110,661,825,890,470,301
Divisor count
2
σ(n) — sum of divisors
480,102
φ(n) — Euler's totient
480,100

Primality

480,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 480101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 480,101)
1 × 480101
First multiples
480,101 · 960,202 (double) · 1,440,303 · 1,920,404 · 2,400,505 · 2,880,606 · 3,360,707 · 3,840,808 · 4,320,909 · 4,801,010

Sums & aliquot sequence

As a sum of two squares: 226² + 655²
As consecutive integers: 240,050 + 240,051

Continued fraction of √n

√480,101 = [692; (1, 8, 2, 1, 2, 1, 15, 1, 1, 2, 1, 4, 1, 2, 10, 1, 4, 1, 1, 1, 1, 3, 1, 3, …)]

Representations

In words
four hundred eighty thousand one hundred one
Ordinal
480101st
Binary
1110101001101100101
Octal
1651545
Hexadecimal
0x75365
Base64
B1Nl
One's complement
4,294,487,194 (32-bit)
Scientific notation
4.80101 × 10⁵
As a duration
480,101 s = 5 days, 13 hours, 21 minutes, 41 seconds
In other bases
ternary (3) 220101120112
quaternary (4) 1311031211
quinary (5) 110330401
senary (6) 14142405
septenary (7) 4036466
nonary (9) 811515
undecimal (11) 2a8786
duodecimal (12) 1b1a05
tridecimal (13) 13a6ab
tetradecimal (14) c6d6d
pentadecimal (15) 973bb

As an angle

480,101° = 1,333 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓏺
Greek (Milesian)
͵υπραʹ
Chinese
四十八萬零一百零一
Chinese (financial)
肆拾捌萬零壹佰零壹
In other modern scripts
Eastern Arabic ٤٨٠١٠١ Devanagari ४८०१०१ Bengali ৪৮০১০১ Tamil ௪௮௦௧௦௧ Thai ๔๘๐๑๐๑ Tibetan ༤༨༠༡༠༡ Khmer ៤៨០១០១ Lao ໔໘໐໑໐໑ Burmese ၄၈၀၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 480107.

Hex color
#075365
RGB(7, 83, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.83.101.

Address
0.7.83.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.83.101

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 480,101 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 480101 first appears in π at position 375,872 of the decimal expansion (the 375,872ordinal-suffix:nd 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.