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1,051,009

1,051,009 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.).

1,051,009 (one million fifty-one thousand nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x100981.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
9,001,501
Square (n²)
1,104,619,918,081
Cube (n³)
1,160,965,475,482,393,729
Divisor count
2
σ(n) — sum of divisors
1,051,010
φ(n) — Euler's totient
1,051,008

Primality

1,051,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1051009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,051,009)
1 × 1051009
First multiples
1,051,009 · 2,102,018 (double) · 3,153,027 · 4,204,036 · 5,255,045 · 6,306,054 · 7,357,063 · 8,408,072 · 9,459,081 · 10,510,090

Sums & aliquot sequence

As a sum of two squares: 103² + 1,020²
As consecutive integers: 525,504 + 525,505

Continued fraction of √n

√1,051,009 = [1025; (5, 2, 1, 18, 1, 5, 4, 12, 1, 84, 1, 1, 31, 1, 1, 6, 1, 4, 2, 2, 9, 2, 2, 13, …)]

Representations

In words
one million fifty-one thousand nine
Ordinal
1051009th
Binary
100000000100110000001
Octal
4004601
Hexadecimal
0x100981
Base64
EAmB
One's complement
4,293,916,286 (32-bit)
Scientific notation
1.051009 × 10⁶
As a duration
1,051,009 s = 12 days, 3 hours, 56 minutes, 49 seconds
In other bases
ternary (3) 1222101201021
quaternary (4) 10000212001
quinary (5) 232113014
senary (6) 34305441
septenary (7) 11635111
nonary (9) 1871637
undecimal (11) 658703
duodecimal (12) 428281
tridecimal (13) 2aa4cb
tetradecimal (14) 1d5041
pentadecimal (15) 15b624

As an angle

1,051,009° = 2,919 × 360° + 169°
169° ≈ 2.95 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬一千零九
Chinese (financial)
壹佰零伍萬壹仟零玖
In other modern scripts
Eastern Arabic ١٠٥١٠٠٩ Devanagari १०५१००९ Bengali ১০৫১০০৯ Tamil ௧௦௫௧௦௦௯ Thai ๑๐๕๑๐๐๙ Tibetan ༡༠༥༡༠༠༩ Khmer ១០៥១០០៩ Lao ໑໐໕໑໐໐໙ Burmese ၁၀၅၁၀၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1051007.

Hex color
#100981
RGB(16, 9, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.9.129.

Address
0.16.9.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.9.129

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 1009 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1009-05-01 (DMMYYYY (Euro, single-digit day))
  • 1009-10-05 (MMDYYYY (US, single-digit day))
  • 1009-05-10 (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 1,051,009 and was likely granted around 1912.

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.