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1,022,509

1,022,509 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.).

1,022,509 (one million twenty-two thousand five hundred nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF9A2D.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
9,052,201
Recamán's sequence
a(371,309) = 1,022,509
Square (n²)
1,045,524,655,081
Cube (n³)
1,069,058,369,542,218,229
Divisor count
2
σ(n) — sum of divisors
1,022,510
φ(n) — Euler's totient
1,022,508

Primality

1,022,509 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1022509
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,022,509)
1 × 1022509
First multiples
1,022,509 · 2,045,018 (double) · 3,067,527 · 4,090,036 · 5,112,545 · 6,135,054 · 7,157,563 · 8,180,072 · 9,202,581 · 10,225,090

Sums & aliquot sequence

As a sum of two squares: 397² + 930²
As consecutive integers: 511,254 + 511,255

Continued fraction of √n

√1,022,509 = [1011; (5, 4, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 7, 1, 133, 1, 17, 1, 1, 3, 1, 1, 2, 1, …)]

Representations

In words
one million twenty-two thousand five hundred nine
Ordinal
1022509th
Binary
11111001101000101101
Octal
3715055
Hexadecimal
0xF9A2D
Base64
D5ot
One's complement
4,293,944,786 (32-bit)
Scientific notation
1.022509 × 10⁶
As a duration
1,022,509 s = 11 days, 20 hours, 1 minute, 49 seconds
In other bases
ternary (3) 1220221121201
quaternary (4) 3321220231
quinary (5) 230210014
senary (6) 33525501
septenary (7) 11456035
nonary (9) 1827551
undecimal (11) 639254
duodecimal (12) 413891
tridecimal (13) 29a547
tetradecimal (14) 1c88c5
pentadecimal (15) 152e74

As an angle

1,022,509° = 2,840 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零二萬二千五百零九
Chinese (financial)
壹佰零貳萬貳仟伍佰零玖
In other modern scripts
Eastern Arabic ١٠٢٢٥٠٩ Devanagari १०२२५०९ Bengali ১০২২৫০৯ Tamil ௧௦௨௨௫௦௯ Thai ๑๐๒๒๕๐๙ Tibetan ༡༠༢༢༥༠༩ Khmer ១០២២៥០៩ Lao ໑໐໒໒໕໐໙ Burmese ၁၀၂၂၅၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1022507, cousin with 1022513.

Hex color
#0F9A2D
RGB(15, 154, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.154.45.

Address
0.15.154.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.154.45

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 2, 2509 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2509-02-01 (DMMYYYY (Euro, single-digit day))
  • 2509-10-02 (MMDYYYY (US, single-digit day))
  • 2509-02-10 (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 1,022,509 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1022509 first appears in π at position 886,523 of the decimal expansion (the 886,523ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.