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1,022,513

1,022,513 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.).

1,022,513 (one million twenty-two thousand five hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF9A31.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
3,152,201
Recamán's sequence
a(371,301) = 1,022,513
Square (n²)
1,045,532,835,169
Cube (n³)
1,069,070,915,887,159,697
Divisor count
2
σ(n) — sum of divisors
1,022,514
φ(n) — Euler's totient
1,022,512

Primality

1,022,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1022513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,022,513)
1 × 1022513
First multiples
1,022,513 · 2,045,026 (double) · 3,067,539 · 4,090,052 · 5,112,565 · 6,135,078 · 7,157,591 · 8,180,104 · 9,202,617 · 10,225,130

Sums & aliquot sequence

As a sum of two squares: 92² + 1,007²
As consecutive integers: 511,256 + 511,257

Continued fraction of √n

√1,022,513 = [1011; (5, 6, 3, 3, 3, 5, 1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 1, 1, 14, 1, 1, 1, 2, 29, …)]

Representations

In words
one million twenty-two thousand five hundred thirteen
Ordinal
1022513th
Binary
11111001101000110001
Octal
3715061
Hexadecimal
0xF9A31
Base64
D5ox
One's complement
4,293,944,782 (32-bit)
Scientific notation
1.022513 × 10⁶
As a duration
1,022,513 s = 11 days, 20 hours, 1 minute, 53 seconds
In other bases
ternary (3) 1220221121212
quaternary (4) 3321220301
quinary (5) 230210023
senary (6) 33525505
septenary (7) 11456042
nonary (9) 1827555
undecimal (11) 639258
duodecimal (12) 413895
tridecimal (13) 29a54b
tetradecimal (14) 1c88c9
pentadecimal (15) 152e78

As an angle

1,022,513° = 2,840 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百零二萬二千五百一十三
Chinese (financial)
壹佰零貳萬貳仟伍佰壹拾參
In other modern scripts
Eastern Arabic ١٠٢٢٥١٣ Devanagari १०२२५१३ Bengali ১০২২৫১৩ Tamil ௧௦௨௨௫௧௩ Thai ๑๐๒๒๕๑๓ Tibetan ༡༠༢༢༥༡༣ Khmer ១០២២៥១៣ Lao ໑໐໒໒໕໑໓ Burmese ၁၀၂၂၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1022509, sexy with 1022519.

Hex color
#0F9A31
RGB(15, 154, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.154.49.

Address
0.15.154.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.154.49

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 2513 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2513-02-01 (DMMYYYY (Euro, single-digit day))
  • 2513-10-02 (MMDYYYY (US, single-digit day))
  • 2513-02-10 (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 1,022,513 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.