Live analysis

1,009,164

1,009,164 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.).

1,009,164 (one million nine thousand one hundred sixty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 6,469. Its proper divisors sum to 1,527,076, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF660C.

Abundant Number Cube-Free Evil Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,009,152 1,009,153 1,009,154 1,009,155 1,009,156 1,009,157 1,009,158 1,009,159 1,009,160 1,009,161 1,009,162 1,009,163 1,009,164 1,009,165 1,009,166 1,009,167 1,009,168 1,009,169 1,009,170 1,009,171 1,009,172 1,009,173 1,009,174 1,009,175 1,009,176

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,619,001
Recamán's sequence: a(347,123) = 1,009,164
Square (n²): 1,018,411,978,896
Cube (n³): 1,027,744,706,270,602,944
Divisor count: 24
σ(n) — sum of divisors: 2,536,240
φ(n) — Euler's totient: 310,464
Sum of prime factors: 6,489

Primality

Prime factorization: 2 ² × 3 × 13 × 6469

Nearest primes: 1,009,163 (−1) · 1,009,189 (+25)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 156 · 6469 · 12938 · 19407 · 25876 · 38814 · 77628 · 84097 · 168194 · 252291 · 336388 · 504582 (half) · 1009164

Aliquot sum (sum of proper divisors): 1,527,076

Factor pairs (a × b = 1,009,164)

1 × 1009164

2 × 504582

3 × 336388

4 × 252291

6 × 168194

12 × 84097

13 × 77628

26 × 38814

39 × 25876

52 × 19407

78 × 12938

156 × 6469

First multiples

1,009,164 · 2,018,328 (double) · 3,027,492 · 4,036,656 · 5,045,820 · 6,054,984 · 7,064,148 · 8,073,312 · 9,082,476 · 10,091,640

Sums & aliquot sequence

As consecutive integers: 336,387 + 336,388 + 336,389 126,142 + 126,143 + … + 126,149 77,622 + 77,623 + … + 77,634 42,037 + 42,038 + … + 42,060

Aliquot sequence: 1,009,164 → 1,527,076 → 1,313,902 → 656,954 → 351,526 → 301,010 → 258,862 → 131,594 → 76,246 → 40,034 → 21,754 → 11,546 → 6,598 → 3,302 → 2,074 → 1,274 → 1,120 — unresolved within range

Continued fraction of √n

√1,009,164 = [1004; (1, 1, 2, 1, 166, 1, 2, 1, 1, 2008)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million nine thousand one hundred sixty-four
Ordinal: 1009164th
Binary: 11110110011000001100
Octal: 3663014
Hexadecimal: 0xF660C
Base64: D2YM
One's complement: 4,293,958,131 (32-bit)
Scientific notation: 1.009164 × 10⁶
As a duration: 1,009,164 s = 11 days, 16 hours, 19 minutes, 24 seconds

In other bases

ternary (3) 1220021022110

quaternary (4) 3312120030

quinary (5) 224243124

senary (6) 33344020

septenary (7) 11402112

nonary (9) 1807273

undecimal (11) 62a222

duodecimal (12) 408010

tridecimal (13) 294450

tetradecimal (14) 1c3ab2

pentadecimal (15) 14e029

As an angle

1,009,164° = 2,803 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬九千一百六十四
Chinese (financial): 壹佰萬玖仟壹佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٩١٦٤ Devanagari १००९१६४ Bengali ১০০৯১৬৪ Tamil ௧௦௦௯௧௬௪ Thai ๑๐๐๙๑๖๔ Tibetan ༡༠༠༩༡༦༤ Khmer ១០០៩១៦៤ Lao ໑໐໐໙໑໖໔ Burmese ၁၀၀၉၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009164, here are decompositions:

5 + 1009159 = 1009164
7 + 1009157 = 1009164
11 + 1009153 = 1009164
43 + 1009121 = 1009164
67 + 1009097 = 1009164
103 + 1009061 = 1009164
127 + 1009037 = 1009164
157 + 1009007 = 1009164

Showing the first eight; more decompositions exist.

Hex color

#0F660C

RGB(15, 102, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.102.12.

Address: 0.15.102.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.102.12

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 1,009,164 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 US1,009,164 on Google Patents ↗ Look up on USPTO ↗