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1,053,713

1,053,713 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.).

1,053,713 (one million fifty-three 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, 0x101411.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
3,173,501
Square (n²)
1,110,311,086,369
Cube (n³)
1,169,949,225,751,138,097
Divisor count
2
σ(n) — sum of divisors
1,053,714
φ(n) — Euler's totient
1,053,712

Primality

1,053,713 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1053713
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,053,713)
1 × 1053713
First multiples
1,053,713 · 2,107,426 (double) · 3,161,139 · 4,214,852 · 5,268,565 · 6,322,278 · 7,375,991 · 8,429,704 · 9,483,417 · 10,537,130

Sums & aliquot sequence

As a sum of two squares: 703² + 748²
As consecutive integers: 526,856 + 526,857

Continued fraction of √n

√1,053,713 = [1026; (1, 1, 47, 4, 10, 1, 2, 1, 2, 2, 1, 2, 3, 1, 1, 4, 128, 10, 1, 1, 1, 2, 3, 19, …)]

Representations

In words
one million fifty-three thousand seven hundred thirteen
Ordinal
1053713th
Binary
100000001010000010001
Octal
4012021
Hexadecimal
0x101411
Base64
EBQR
One's complement
4,293,913,582 (32-bit)
Scientific notation
1.053713 × 10⁶
As a duration
1,053,713 s = 12 days, 4 hours, 41 minutes, 53 seconds
In other bases
ternary (3) 1222112102102
quaternary (4) 10001100101
quinary (5) 232204323
senary (6) 34330145
septenary (7) 11646023
nonary (9) 1875372
undecimal (11) 65a741
duodecimal (12) 429955
tridecimal (13) 2ab7cb
tetradecimal (14) 1d6013
pentadecimal (15) 15c328

As an angle

1,053,713° = 2,926 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百零五萬三千七百一十三
Chinese (financial)
壹佰零伍萬參仟柒佰壹拾參
In other modern scripts
Eastern Arabic ١٠٥٣٧١٣ Devanagari १०५३७१३ Bengali ১০৫৩৭১৩ Tamil ௧௦௫௩௭௧௩ Thai ๑๐๕๓๗๑๓ Tibetan ༡༠༥༣༧༡༣ Khmer ១០៥៣៧១៣ Lao ໑໐໕໓໗໑໓ Burmese ၁၀၅၃၇၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1053707.

Hex color
#101411
RGB(16, 20, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.20.17.

Address
0.16.20.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.20.17

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 3713 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3713-05-01 (DMMYYYY (Euro, single-digit day))
  • 3713-10-05 (MMDYYYY (US, single-digit day))
  • 3713-05-10 (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 1,053,713 and was likely granted around 1912.

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

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.