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1,001,381

1,001,381 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.).

1,001,381 (one million one thousand three hundred eighty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF47A5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
1,831,001
Square (n²)
1,002,763,907,161
Cube (n³)
1,004,148,724,116,789,341
Divisor count
2
σ(n) — sum of divisors
1,001,382
φ(n) — Euler's totient
1,001,380

Primality

1,001,381 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1001381
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,001,381)
1 × 1001381
First multiples
1,001,381 · 2,002,762 (double) · 3,004,143 · 4,005,524 · 5,006,905 · 6,008,286 · 7,009,667 · 8,011,048 · 9,012,429 · 10,013,810

Sums & aliquot sequence

As a sum of two squares: 559² + 830²
As consecutive integers: 500,690 + 500,691

Continued fraction of √n

√1,001,381 = [1000; (1, 2, 4, 2, 1, 1, 1, 20, 2, 3, 1, 1, 2, 2, 1, 12, 23, 2, 7, 15, 1, 7, 6, 14, …)]

Representations

In words
one million one thousand three hundred eighty-one
Ordinal
1001381st
Binary
11110100011110100101
Octal
3643645
Hexadecimal
0xF47A5
Base64
D0el
One's complement
4,293,965,914 (32-bit)
Scientific notation
1.001381 × 10⁶
As a duration
1,001,381 s = 11 days, 14 hours, 9 minutes, 41 seconds
In other bases
ternary (3) 1212212122012
quaternary (4) 3310132211
quinary (5) 224021011
senary (6) 33244005
septenary (7) 11340323
nonary (9) 1785565
undecimal (11) 624397
duodecimal (12) 403605
tridecimal (13) 290a44
tetradecimal (14) 1c0d13
pentadecimal (15) 14ba8b

As an angle

1,001,381° = 2,781 × 360° + 221°
221° ≈ 3.857 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百萬一千三百八十一
Chinese (financial)
壹佰萬壹仟參佰捌拾壹
In other modern scripts
Eastern Arabic ١٠٠١٣٨١ Devanagari १००१३८१ Bengali ১০০১৩৮১ Tamil ௧௦௦௧௩௮௧ Thai ๑๐๐๑๓๘๑ Tibetan ༡༠༠༡༣༨༡ Khmer ១០០១៣៨១ Lao ໑໐໐໑໓໘໑ Burmese ၁၀၀၁၃၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1001387.

Hex color
#0F47A5
RGB(15, 71, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.165.

Address
0.15.71.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.71.165

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 1,001,381 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.