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1,051,397

1,051,397 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.).

1,051,397 (one million fifty-one thousand three hundred ninety-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x100B05.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
7,931,501
Square (n²)
1,105,435,651,609
Cube (n³)
1,162,251,727,794,747,773
Divisor count
2
σ(n) — sum of divisors
1,051,398
φ(n) — Euler's totient
1,051,396

Primality

1,051,397 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1051397
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,051,397)
1 × 1051397
First multiples
1,051,397 · 2,102,794 (double) · 3,154,191 · 4,205,588 · 5,256,985 · 6,308,382 · 7,359,779 · 8,411,176 · 9,462,573 · 10,513,970

Sums & aliquot sequence

As a sum of two squares: 434² + 929²
As consecutive integers: 525,698 + 525,699

Continued fraction of √n

√1,051,397 = [1025; (2, 1, 1, 1, 9, 1, 2, 7, 1, 4, 1, 3, 16, 3, 1, 1, 1, 1, 5, 43, 2, 5, 29, 1, …)]

Representations

In words
one million fifty-one thousand three hundred ninety-seven
Ordinal
1051397th
Binary
100000000101100000101
Octal
4005405
Hexadecimal
0x100B05
Base64
EAsF
One's complement
4,293,915,898 (32-bit)
Scientific notation
1.051397 × 10⁶
As a duration
1,051,397 s = 12 days, 4 hours, 3 minutes, 17 seconds
In other bases
ternary (3) 1222102020122
quaternary (4) 10000230011
quinary (5) 232121042
senary (6) 34311325
septenary (7) 11636204
nonary (9) 1872218
undecimal (11) 658a26
duodecimal (12) 428545
tridecimal (13) 2aa739
tetradecimal (14) 1d523b
pentadecimal (15) 15b7d2

As an angle

1,051,397° = 2,920 × 360° + 197°
197° ≈ 3.438 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬一千三百九十七
Chinese (financial)
壹佰零伍萬壹仟參佰玖拾柒
In other modern scripts
Eastern Arabic ١٠٥١٣٩٧ Devanagari १०५१३९७ Bengali ১০৫১৩৯৭ Tamil ௧௦௫௧௩௯௭ Thai ๑๐๕๑๓๙๗ Tibetan ༡༠༥༡༣༩༧ Khmer ១០៥១៣៩៧ Lao ໑໐໕໑໓໙໗ Burmese ၁၀၅၁၃၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#100B05
RGB(16, 11, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.11.5.

Address
0.16.11.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.11.5

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 1397 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1397-05-01 (DMMYYYY (Euro, single-digit day))
  • 1397-10-05 (MMDYYYY (US, single-digit day))
  • 1397-05-10 (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 1,051,397 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.