Live analysis

1,002,227

1,002,227 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.).

1,002,227 (one million two thousand two hundred twenty-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4AF3.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,215 1,002,216 1,002,217 1,002,218 1,002,219 1,002,220 1,002,221 1,002,222 1,002,223 1,002,224 1,002,225 1,002,226 1,002,227 1,002,228 1,002,229 1,002,230 1,002,231 1,002,232 1,002,233 1,002,234 1,002,235 1,002,236 1,002,237 1,002,238 1,002,239

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 7,222,001
Square (n²): 1,004,458,959,529
Cube (n³): 1,006,695,889,631,871,083
Divisor count: 2
σ(n) — sum of divisors: 1,002,228
φ(n) — Euler's totient: 1,002,226

Primality

1,002,227 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1002227

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,002,227)

1 × 1002227

First multiples

1,002,227 · 2,004,454 (double) · 3,006,681 · 4,008,908 · 5,011,135 · 6,013,362 · 7,015,589 · 8,017,816 · 9,020,043 · 10,022,270

Sums & aliquot sequence

As consecutive integers: 501,113 + 501,114

Continued fraction of √n

√1,002,227 = [1001; (8, 1, 6, 11, 2, 2, 1, 117, 15, 3, 1, 1, 1, 2, 5, 1, 5, 4, 1, 6, 8, 4, 2, 1, …)]

Representations

In words: one million two thousand two hundred twenty-seven
Ordinal: 1002227th
Binary: 11110100101011110011
Octal: 3645363
Hexadecimal: 0xF4AF3
Base64: D0rz
One's complement: 4,293,965,068 (32-bit)
Scientific notation: 1.002227 × 10⁶
As a duration: 1,002,227 s = 11 days, 14 hours, 23 minutes, 47 seconds

In other bases

ternary (3) 1212220210112

quaternary (4) 3310223303

quinary (5) 224032402

senary (6) 33251535

septenary (7) 11342642

nonary (9) 1786715

undecimal (11) 624a96

duodecimal (12) 403bab

tridecimal (13) 291245

tetradecimal (14) 1c1359

pentadecimal (15) 14be52

As an angle

1,002,227° = 2,783 × 360° + 347°

347° ≈ 6.056 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千二百二十七
Chinese (financial): 壹佰萬貳仟貳佰貳拾柒

In other modern scripts

Eastern Arabic ١٠٠٢٢٢٧ Devanagari १००२२२७ Bengali ১০০২২২৭ Tamil ௧௦௦௨௨௨௭ Thai ๑๐๐๒๒๒๗ Tibetan ༡༠༠༢༢༢༧ Khmer ១០០២២២៧ Lao ໑໐໐໒໒໒໗ Burmese ၁၀၀၂၂၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,191 (gap of 36)
Next prime: 1,002,241 (gap of 14)

Hex color

#0F4AF3

RGB(15, 74, 243)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.243.

Address: 0.15.74.243
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.243

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 1,002,227 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 US1,002,227 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1002227 first appears in π at position 436,470 of the decimal expansion (the 436,470ordinal-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 1002227 on Pi Search ↗