Live analysis

1,002,263

1,002,263 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.).

1,002,263 (one million two thousand two hundred sixty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4B17.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Safe Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,002,251 1,002,252 1,002,253 1,002,254 1,002,255 1,002,256 1,002,257 1,002,258 1,002,259 1,002,260 1,002,261 1,002,262 1,002,263 1,002,264 1,002,265 1,002,266 1,002,267 1,002,268 1,002,269 1,002,270 1,002,271 1,002,272 1,002,273 1,002,274 1,002,275

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 3,622,001
Square (n²): 1,004,531,121,169
Cube (n³): 1,006,804,375,096,205,447
Divisor count: 2
σ(n) — sum of divisors: 1,002,264
φ(n) — Euler's totient: 1,002,262

Primality

1,002,263 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1002263

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,002,263)

1 × 1002263

First multiples

1,002,263 · 2,004,526 (double) · 3,006,789 · 4,009,052 · 5,011,315 · 6,013,578 · 7,015,841 · 8,018,104 · 9,020,367 · 10,022,630

Sums & aliquot sequence

As consecutive integers: 501,131 + 501,132

Continued fraction of √n

√1,002,263 = [1001; (7, 1, 1, 1, 3, 1, 3, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 5, 1, 5, 6, 1, 1, …)]

Representations

In words: one million two thousand two hundred sixty-three
Ordinal: 1002263rd
Binary: 11110100101100010111
Octal: 3645427
Hexadecimal: 0xF4B17
Base64: D0sX
One's complement: 4,293,965,032 (32-bit)
Scientific notation: 1.002263 × 10⁶
As a duration: 1,002,263 s = 11 days, 14 hours, 24 minutes, 23 seconds

In other bases

ternary (3) 1212220211212

quaternary (4) 3310230113

quinary (5) 224033023

senary (6) 33252035

septenary (7) 11343023

nonary (9) 1786755

undecimal (11) 625019

duodecimal (12) 40401b

tridecimal (13) 291272

tetradecimal (14) 1c1383

pentadecimal (15) 14be78

As an angle

1,002,263° = 2,784 × 360° + 23°

23° ≈ 0.401 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese: 一百萬二千二百六十三
Chinese (financial): 壹佰萬貳仟貳佰陸拾參

In other modern scripts

Eastern Arabic ١٠٠٢٢٦٣ Devanagari १००२२६३ Bengali ১০০২২৬৩ Tamil ௧௦௦௨௨௬௩ Thai ๑๐๐๒๒๖๓ Tibetan ༡༠༠༢༢༦༣ Khmer ១០០២២៦៣ Lao ໑໐໐໒໒໖໓ Burmese ၁၀၀၂၂၆၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,259 (gap of 4)
Next prime: 1,002,289 (gap of 26)

Pair status: cousin with 1002259.

Hex color

#0F4B17

RGB(15, 75, 23)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.23.

Address: 0.15.75.23
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.23

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

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 1,002,263 and was likely granted around 1911.

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

Look up US1,002,263 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1002263 first appears in π at position 6,739 of the decimal expansion (the 6,739ordinal-suffix:th 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.

Look up 1002263 on Pi Search ↗