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481,001

481,001 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.).

481,001 (four hundred eighty-one thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x756E9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
100,184
Square (n²)
231,361,962,001
Cube (n³)
111,285,335,084,443,001
Divisor count
2
σ(n) — sum of divisors
481,002
φ(n) — Euler's totient
481,000

Primality

481,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 481001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 481,001)
1 × 481001
First multiples
481,001 · 962,002 (double) · 1,443,003 · 1,924,004 · 2,405,005 · 2,886,006 · 3,367,007 · 3,848,008 · 4,329,009 · 4,810,010

Sums & aliquot sequence

As a sum of two squares: 155² + 676²
As consecutive integers: 240,500 + 240,501

Continued fraction of √n

√481,001 = [693; (1, 1, 5, 2, 2, 16, 1, 13, 1, 1, 1, 12, 1, 2, 9, 4, 2, 5, 6, 1, 3, 1, 2, 5, …)]

Representations

In words
four hundred eighty-one thousand one
Ordinal
481001st
Binary
1110101011011101001
Octal
1653351
Hexadecimal
0x756E9
Base64
B1bp
One's complement
4,294,486,294 (32-bit)
Scientific notation
4.81001 × 10⁵
As a duration
481,001 s = 5 days, 13 hours, 36 minutes, 41 seconds
In other bases
ternary (3) 220102210212
quaternary (4) 1311123221
quinary (5) 110343001
senary (6) 14150505
septenary (7) 4042223
nonary (9) 812725
undecimal (11) 2a9424
duodecimal (12) 1b2435
tridecimal (13) 13ac21
tetradecimal (14) c7413
pentadecimal (15) 977bb

As an angle

481,001° = 1,336 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓏺
Greek (Milesian)
͵υπααʹ
Chinese
四十八萬一千零一
Chinese (financial)
肆拾捌萬壹仟零壹
In other modern scripts
Eastern Arabic ٤٨١٠٠١ Devanagari ४८१००१ Bengali ৪৮১০০১ Tamil ௪௮௧௦௦௧ Thai ๔๘๑๐๐๑ Tibetan ༤༨༡༠༠༡ Khmer ៤៨១០០១ Lao ໔໘໑໐໐໑ Burmese ၄၈၁၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 481003.

Hex color
#0756E9
RGB(7, 86, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.86.233.

Address
0.7.86.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.86.233

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 481,001 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 481001 first appears in π at position 942,356 of the decimal expansion (the 942,356ordinal-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.