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1,055,713

1,055,713 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.).

1,055,713 (one million fifty-five thousand seven hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x101BE1.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
21 bits
Reversed
3,175,501
Square (n²)
1,114,529,938,369
Cube (n³)
1,176,623,744,825,352,097
Divisor count
2
σ(n) — sum of divisors
1,055,714
φ(n) — Euler's totient
1,055,712

Primality

1,055,713 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1055713
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,055,713)
1 × 1055713
First multiples
1,055,713 · 2,111,426 (double) · 3,167,139 · 4,222,852 · 5,278,565 · 6,334,278 · 7,389,991 · 8,445,704 · 9,501,417 · 10,557,130

Sums & aliquot sequence

As a sum of two squares: 408² + 943²
As consecutive integers: 527,856 + 527,857

Continued fraction of √n

√1,055,713 = [1027; (2, 11, 2, 1, 1, 1, 3, 1, 5, 1, 2, 3, 7, 4, 2, 1, 2, 2, 2, 4, 1, 1, 1, 1, …)]

Representations

In words
one million fifty-five thousand seven hundred thirteen
Ordinal
1055713th
Binary
100000001101111100001
Octal
4015741
Hexadecimal
0x101BE1
Base64
EBvh
One's complement
4,293,911,582 (32-bit)
Scientific notation
1.055713 × 10⁶
As a duration
1,055,713 s = 12 days, 5 hours, 15 minutes, 13 seconds
In other bases
ternary (3) 1222122011111
quaternary (4) 10001233201
quinary (5) 232240323
senary (6) 34343321
septenary (7) 11654611
nonary (9) 1878144
undecimal (11) 66119a
duodecimal (12) 42ab41
tridecimal (13) 2ac6a9
tetradecimal (14) 1d6a41
pentadecimal (15) 15cc0d

As an angle

1,055,713° = 2,932 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百零五萬五千七百一十三
Chinese (financial)
壹佰零伍萬伍仟柒佰壹拾參
In other modern scripts
Eastern Arabic ١٠٥٥٧١٣ Devanagari १०५५७१३ Bengali ১০৫৫৭১৩ Tamil ௧௦௫௫௭௧௩ Thai ๑๐๕๕๗๑๓ Tibetan ༡༠༥༥༧༡༣ Khmer ១០៥៥៧១៣ Lao ໑໐໕໕໗໑໓ Burmese ၁၀၅၅၇၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#101BE1
RGB(16, 27, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.27.225.

Address
0.16.27.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.27.225

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 5713 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5713-05-01 (DMMYYYY (Euro, single-digit day))
  • 5713-10-05 (MMDYYYY (US, single-digit day))
  • 5713-05-10 (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 1,055,713 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 1055713 first appears in π at position 193,244 of the decimal expansion (the 193,244ordinal-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.