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1,055,113

1,055,113 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.).

1,055,113 (one million fifty-five thousand one hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x101989.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
3,115,501
Square (n²)
1,113,263,442,769
Cube (n³)
1,174,618,730,890,327,897
Divisor count
2
σ(n) — sum of divisors
1,055,114
φ(n) — Euler's totient
1,055,112

Primality

1,055,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1055113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,055,113)
1 × 1055113
First multiples
1,055,113 · 2,110,226 (double) · 3,165,339 · 4,220,452 · 5,275,565 · 6,330,678 · 7,385,791 · 8,440,904 · 9,496,017 · 10,551,130

Sums & aliquot sequence

As a sum of two squares: 648² + 797²
As consecutive integers: 527,556 + 527,557

Continued fraction of √n

√1,055,113 = [1027; (5, 2, 1, 6, 4, 2, 1, 4, 3, 3, 1, 8, 11, 2, 33, 5, 186, 1, 1, 3, 1, 1, 75, 1, …)]

Representations

In words
one million fifty-five thousand one hundred thirteen
Ordinal
1055113th
Binary
100000001100110001001
Octal
4014611
Hexadecimal
0x101989
Base64
EBmJ
One's complement
4,293,912,182 (32-bit)
Scientific notation
1.055113 × 10⁶
As a duration
1,055,113 s = 12 days, 5 hours, 5 minutes, 13 seconds
In other bases
ternary (3) 1222121100021
quaternary (4) 10001212021
quinary (5) 232230423
senary (6) 34340441
septenary (7) 11653063
nonary (9) 1877307
undecimal (11) 6607a4
duodecimal (12) 42a721
tridecimal (13) 2ac337
tetradecimal (14) 1d6733
pentadecimal (15) 15c95d

As an angle

1,055,113° = 2,930 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Chinese
一百零五萬五千一百一十三
Chinese (financial)
壹佰零伍萬伍仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١٠٥٥١١٣ Devanagari १०५५११३ Bengali ১০৫৫১১৩ Tamil ௧௦௫௫௧௧௩ Thai ๑๐๕๕๑๑๓ Tibetan ༡༠༥༥༡༡༣ Khmer ១០៥៥១១៣ Lao ໑໐໕໕໑໑໓ Burmese ၁၀၅၅၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#101989
RGB(16, 25, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.25.137.

Address
0.16.25.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.25.137

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 5113 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5113-05-01 (DMMYYYY (Euro, single-digit day))
  • 5113-10-05 (MMDYYYY (US, single-digit day))
  • 5113-05-10 (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 1,055,113 and was likely granted around 1912.

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

Position in π

The digit sequence 1055113 first appears in π at position 205,562 of the decimal expansion (the 205,562ordinal-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.