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1,029,013

1,029,013 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.).

1,029,013 (one million twenty-nine thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFB395.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
3,109,201
Square (n²)
1,058,867,754,169
Cube (n³)
1,089,588,684,320,705,197
Divisor count
2
σ(n) — sum of divisors
1,029,014
φ(n) — Euler's totient
1,029,012

Primality

1,029,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1029013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,029,013)
1 × 1029013
First multiples
1,029,013 · 2,058,026 (double) · 3,087,039 · 4,116,052 · 5,145,065 · 6,174,078 · 7,203,091 · 8,232,104 · 9,261,117 · 10,290,130

Sums & aliquot sequence

As a sum of two squares: 423² + 922²
As consecutive integers: 514,506 + 514,507

Continued fraction of √n

√1,029,013 = [1014; (2, 2, 13, 1, 87, 3, 1, 1, 2, 4, 1, 2, 1, 1, 2, 3, 2, 4, 4, 1, 5, 47, 106, 1, …)]

Representations

In words
one million twenty-nine thousand thirteen
Ordinal
1029013th
Binary
11111011001110010101
Octal
3731625
Hexadecimal
0xFB395
Base64
D7OV
One's complement
4,293,938,282 (32-bit)
Scientific notation
1.029013 × 10⁶
As a duration
1,029,013 s = 11 days, 21 hours, 50 minutes, 13 seconds
In other bases
ternary (3) 1221021112121
quaternary (4) 3323032111
quinary (5) 230412023
senary (6) 34015541
septenary (7) 11514016
nonary (9) 1837477
undecimal (11) 643127
duodecimal (12) 4175b1
tridecimal (13) 2a04ab
tetradecimal (14) 1cb00d
pentadecimal (15) 154d5d

As an angle

1,029,013° = 2,858 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Chinese
一百零二萬九千零一十三
Chinese (financial)
壹佰零貳萬玖仟零壹拾參
In other modern scripts
Eastern Arabic ١٠٢٩٠١٣ Devanagari १०२९०१३ Bengali ১০২৯০১৩ Tamil ௧௦௨௯௦௧௩ Thai ๑๐๒๙๐๑๓ Tibetan ༡༠༢༩༠༡༣ Khmer ១០២៩០១៣ Lao ໑໐໒໙໐໑໓ Burmese ၁၀၂၉၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FB395
RGB(15, 179, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.179.149.

Address
0.15.179.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.179.149

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 9013 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9013-02-01 (DMMYYYY (Euro, single-digit day))
  • 9013-10-02 (MMDYYYY (US, single-digit day))
  • 9013-02-10 (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 1,029,013 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.