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1,010,381

1,010,381 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.).

1,010,381 (one million ten 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, 0xF6ACD.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean 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
1,830,101
Square (n²)
1,020,869,765,161
Cube (n³)
1,031,467,414,193,136,341
Divisor count
2
σ(n) — sum of divisors
1,010,382
φ(n) — Euler's totient
1,010,380

Primality

1,010,381 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1010381
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,010,381)
1 × 1010381
First multiples
1,010,381 · 2,020,762 (double) · 3,031,143 · 4,041,524 · 5,051,905 · 6,062,286 · 7,072,667 · 8,083,048 · 9,093,429 · 10,103,810

Sums & aliquot sequence

As a sum of two squares: 691² + 730²
As consecutive integers: 505,190 + 505,191

Continued fraction of √n

√1,010,381 = [1005; (5, 1, 1, 1, 4, 1, 6, 5, 1, 1, 502, 22, 1, 1, 2, 2, 1, 1, 22, 502, 1, 1, 5, 6, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words
one million ten thousand three hundred eighty-one
Ordinal
1010381st
Binary
11110110101011001101
Octal
3665315
Hexadecimal
0xF6ACD
Base64
D2rN
One's complement
4,293,956,914 (32-bit)
Scientific notation
1.010381 × 10⁶
As a duration
1,010,381 s = 11 days, 16 hours, 39 minutes, 41 seconds
In other bases
ternary (3) 1220022222112
quaternary (4) 3312223031
quinary (5) 224313011
senary (6) 33353405
septenary (7) 11405501
nonary (9) 1808875
undecimal (11) 630129
duodecimal (12) 408865
tridecimal (13) 294b78
tetradecimal (14) 1c4301
pentadecimal (15) 14e58b

As an angle

1,010,381° = 2,806 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零一萬零三百八十一
Chinese (financial)
壹佰零壹萬零參佰捌拾壹
In other modern scripts
Eastern Arabic ١٠١٠٣٨١ Devanagari १०१०३८१ Bengali ১০১০৩৮১ Tamil ௧௦௧௦௩௮௧ Thai ๑๐๑๐๓๘๑ Tibetan ༡༠༡༠༣༨༡ Khmer ១០១០៣៨១ Lao ໑໐໑໐໓໘໑ Burmese ၁၀၁၀၃၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F6ACD
RGB(15, 106, 205)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.106.205.

Address
0.15.106.205
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.106.205

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 0381 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0381-10-01 (MMDYYYY (US, single-digit day))
  • 0381-01-10 (DDMYYYY (Euro, single-digit month))
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 1,010,381 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.