Live analysis

1,002,164

1,002,164 is a composite number, even.

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.).

1,002,164 (one million two thousand one hundred sixty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 199 × 1,259. Written other ways, in hexadecimal, 0xF4AB4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,002,152 1,002,153 1,002,154 1,002,155 1,002,156 1,002,157 1,002,158 1,002,159 1,002,160 1,002,161 1,002,162 1,002,163 1,002,164 1,002,165 1,002,166 1,002,167 1,002,168 1,002,169 1,002,170 1,002,171 1,002,172 1,002,173 1,002,174 1,002,175 1,002,176

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 4,612,001
Square (n²): 1,004,332,682,896
Cube (n³): 1,006,506,058,821,786,944
Divisor count: 12
σ(n) — sum of divisors: 1,764,000
φ(n) — Euler's totient: 498,168
Sum of prime factors: 1,462

Primality

Prime factorization: 2 ² × 199 × 1259

Nearest primes: 1,002,151 (−13) · 1,002,173 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 199 · 398 · 796 · 1259 · 2518 · 5036 · 250541 · 501082 (half) · 1002164

Aliquot sum (sum of proper divisors): 761,836

Factor pairs (a × b = 1,002,164)

1 × 1002164

2 × 501082

4 × 250541

199 × 5036

398 × 2518

796 × 1259

First multiples

1,002,164 · 2,004,328 (double) · 3,006,492 · 4,008,656 · 5,010,820 · 6,012,984 · 7,015,148 · 8,017,312 · 9,019,476 · 10,021,640

Sums & aliquot sequence

As consecutive integers: 125,267 + 125,268 + … + 125,274 4,937 + 4,938 + … + 5,135 167 + 168 + … + 1,425

Aliquot sequence: 1,002,164 → 761,836 → 578,076 → 792,804 → 1,057,100 → 1,528,672 → 1,761,440 → 2,479,720 → 3,222,680 → 4,028,440 → 5,970,920 → 7,592,800 → 10,945,076 → 9,630,220 → 10,707,188 → 8,089,324 → 6,067,000 — unresolved within range

Continued fraction of √n

√1,002,164 = [1001; (12, 3, 1, 1, 6, 4, 1, 1, 1, 1, 10, 1, 3, 3, 3, 7, 1, 6, 1, 2, 11, 1, 6, 6, …)]

Representations

In words: one million two thousand one hundred sixty-four
Ordinal: 1002164th
Binary: 11110100101010110100
Octal: 3645264
Hexadecimal: 0xF4AB4
Base64: D0q0
One's complement: 4,293,965,131 (32-bit)
Scientific notation: 1.002164 × 10⁶
As a duration: 1,002,164 s = 11 days, 14 hours, 22 minutes, 44 seconds

In other bases

ternary (3) 1212220201012

quaternary (4) 3310222310

quinary (5) 224032124

senary (6) 33251352

septenary (7) 11342522

nonary (9) 1786635

undecimal (11) 624a39

duodecimal (12) 403b58

tridecimal (13) 2911c7

tetradecimal (14) 1c1312

pentadecimal (15) 14be0e

As an angle

1,002,164° = 2,783 × 360° + 284°

284° ≈ 4.957 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬二千一百六十四
Chinese (financial): 壹佰萬貳仟壹佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٢١٦٤ Devanagari १००२१६४ Bengali ১০০২১৬৪ Tamil ௧௦௦௨௧௬௪ Thai ๑๐๐๒๑๖๔ Tibetan ༡༠༠༢༡༦༤ Khmer ១០០២១៦៤ Lao ໑໐໐໒໑໖໔ Burmese ၁၀၀၂၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002164, here are decompositions:

13 + 1002151 = 1002164
43 + 1002121 = 1002164
73 + 1002091 = 1002164
103 + 1002061 = 1002164
181 + 1001983 = 1002164
211 + 1001953 = 1002164
223 + 1001941 = 1002164
367 + 1001797 = 1002164

Showing the first eight; more decompositions exist.

Hex color

#0F4AB4

RGB(15, 74, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.180.

Address: 0.15.74.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.180

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 1,002,164 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 US1,002,164 on Google Patents ↗ Look up on USPTO ↗