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1,052,993

1,052,993 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.).

1,052,993 (one million fifty-two thousand nine hundred ninety-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x101141.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
3,992,501
Square (n²)
1,108,794,258,049
Cube (n³)
1,167,552,592,165,790,657
Divisor count
2
σ(n) — sum of divisors
1,052,994
φ(n) — Euler's totient
1,052,992

Primality

1,052,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1052993
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,052,993)
1 × 1052993
First multiples
1,052,993 · 2,105,986 (double) · 3,158,979 · 4,211,972 · 5,264,965 · 6,317,958 · 7,370,951 · 8,423,944 · 9,476,937 · 10,529,930

Sums & aliquot sequence

As a sum of two squares: 383² + 952²
As consecutive integers: 526,496 + 526,497

Continued fraction of √n

√1,052,993 = [1026; (6, 2, 8, 1, 255, 1, 1, 1, 4, 3, 3, 2, 1, 127, 1, 1, 2, 1, 27, 2, 1, 1, 63, 1, …)]

Representations

In words
one million fifty-two thousand nine hundred ninety-three
Ordinal
1052993rd
Binary
100000001000101000001
Octal
4010501
Hexadecimal
0x101141
Base64
EBFB
One's complement
4,293,914,302 (32-bit)
Scientific notation
1.052993 × 10⁶
As a duration
1,052,993 s = 12 days, 4 hours, 29 minutes, 53 seconds
In other bases
ternary (3) 1222111102202
quaternary (4) 10001011001
quinary (5) 232143433
senary (6) 34322545
septenary (7) 11643644
nonary (9) 1874382
undecimal (11) 65a147
duodecimal (12) 429455
tridecimal (13) 2ab396
tetradecimal (14) 1d5a5b
pentadecimal (15) 15bee8

As an angle

1,052,993° = 2,924 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百零五萬二千九百九十三
Chinese (financial)
壹佰零伍萬貳仟玖佰玖拾參
In other modern scripts
Eastern Arabic ١٠٥٢٩٩٣ Devanagari १०५२९९३ Bengali ১০৫২৯৯৩ Tamil ௧௦௫௨௯௯௩ Thai ๑๐๕๒๙๙๓ Tibetan ༡༠༥༢༩༩༣ Khmer ១០៥២៩៩៣ Lao ໑໐໕໒໙໙໓ Burmese ၁၀၅၂၉၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#101141
RGB(16, 17, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.17.65.

Address
0.16.17.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.17.65

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 2993 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2993-05-01 (DMMYYYY (Euro, single-digit day))
  • 2993-10-05 (MMDYYYY (US, single-digit day))
  • 2993-05-10 (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 1,052,993 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.