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1,031,729

1,031,729 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.).

1,031,729 (one million thirty-one thousand seven hundred twenty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFBE31.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
9,271,301
Square (n²)
1,064,464,729,441
Cube (n³)
1,098,239,130,841,433,489
Divisor count
2
σ(n) — sum of divisors
1,031,730
φ(n) — Euler's totient
1,031,728

Primality

1,031,729 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1031729
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,031,729)
1 × 1031729
First multiples
1,031,729 · 2,063,458 (double) · 3,095,187 · 4,126,916 · 5,158,645 · 6,190,374 · 7,222,103 · 8,253,832 · 9,285,561 · 10,317,290

Sums & aliquot sequence

As a sum of two squares: 248² + 985²
As consecutive integers: 515,864 + 515,865

Continued fraction of √n

√1,031,729 = [1015; (1, 2, 1, 5, 1, 10, 5, 3, 2, 1, 2, 13, 1, 1, 1, 3, 2, 3, 2, 7, 31, 8, 2, 1, …)]

Representations

In words
one million thirty-one thousand seven hundred twenty-nine
Ordinal
1031729th
Binary
11111011111000110001
Octal
3737061
Hexadecimal
0xFBE31
Base64
D74x
One's complement
4,293,935,566 (32-bit)
Scientific notation
1.031729 × 10⁶
As a duration
1,031,729 s = 11 days, 22 hours, 35 minutes, 29 seconds
In other bases
ternary (3) 1221102021012
quaternary (4) 3323320301
quinary (5) 231003404
senary (6) 34040305
septenary (7) 11524646
nonary (9) 1842235
undecimal (11) 645176
duodecimal (12) 419095
tridecimal (13) 2a17ba
tetradecimal (14) 1cbdcd
pentadecimal (15) 155a6e

As an angle

1,031,729° = 2,865 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零三萬一千七百二十九
Chinese (financial)
壹佰零參萬壹仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ١٠٣١٧٢٩ Devanagari १०३१७२९ Bengali ১০৩১৭২৯ Tamil ௧௦௩௧௭௨௯ Thai ๑๐๓๑๗๒๙ Tibetan ༡༠༣༡༧༢༩ Khmer ១០៣១៧២៩ Lao ໑໐໓໑໗໒໙ Burmese ၁၀၃၁၇၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1031731.

Hex color
#0FBE31
RGB(15, 190, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.190.49.

Address
0.15.190.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.190.49

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 3, 1729 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1729-03-01 (DMMYYYY (Euro, single-digit day))
  • 1729-10-03 (MMDYYYY (US, single-digit day))
  • 1729-03-10 (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 1,031,729 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.