Live analysis

1,001,164

1,001,164 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.).

1,001,164 (one million one thousand one hundred sixty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 17 × 14,723. Written other ways, in hexadecimal, 0xF46CC.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,001,152 1,001,153 1,001,154 1,001,155 1,001,156 1,001,157 1,001,158 1,001,159 1,001,160 1,001,161 1,001,162 1,001,163 1,001,164 1,001,165 1,001,166 1,001,167 1,001,168 1,001,169 1,001,170 1,001,171 1,001,172 1,001,173 1,001,174 1,001,175 1,001,176

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Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 4,611,001
Square (n²): 1,002,329,354,896
Cube (n³): 1,003,496,066,265,098,944
Divisor count: 12
σ(n) — sum of divisors: 1,855,224
φ(n) — Euler's totient: 471,104
Sum of prime factors: 14,744

Primality

Prime factorization: 2 ² × 17 × 14723

Nearest primes: 1,001,159 (−5) · 1,001,173 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 17 · 34 · 68 · 14723 · 29446 · 58892 · 250291 · 500582 (half) · 1001164

Aliquot sum (sum of proper divisors): 854,060

Factor pairs (a × b = 1,001,164)

1 × 1001164

2 × 500582

4 × 250291

17 × 58892

34 × 29446

68 × 14723

First multiples

1,001,164 · 2,002,328 (double) · 3,003,492 · 4,004,656 · 5,005,820 · 6,006,984 · 7,008,148 · 8,009,312 · 9,010,476 · 10,011,640

Sums & aliquot sequence

As consecutive integers: 125,142 + 125,143 + … + 125,149 58,884 + 58,885 + … + 58,900 7,294 + 7,295 + … + 7,429

Aliquot sequence: 1,001,164 → 854,060 → 939,508 → 711,792 → 1,280,640 → 3,125,760 → 8,069,952 → 15,228,960 → 32,743,776 → 59,823,888 → 94,721,280 → 225,810,624 → 417,612,016 → 406,779,416 → 357,572,224 → 356,142,176 → 398,948,608 — unresolved within range

Continued fraction of √n

√1,001,164 = [1000; (1, 1, 2, 1, 1, 4, 26, 8, 1, 5, 1, 15, 1, 4, 1, 1, 1, 1, 14, 9, 3, 16, 2, 1, …)]

Representations

In words: one million one thousand one hundred sixty-four
Ordinal: 1001164th
Binary: 11110100011011001100
Octal: 3643314
Hexadecimal: 0xF46CC
Base64: D0bM
One's complement: 4,293,966,131 (32-bit)
Scientific notation: 1.001164 × 10⁶
As a duration: 1,001,164 s = 11 days, 14 hours, 6 minutes, 4 seconds

In other bases

ternary (3) 1212212100011

quaternary (4) 3310123030

quinary (5) 224014124

senary (6) 33243004

septenary (7) 11336563

nonary (9) 1785304

undecimal (11) 62420a

duodecimal (12) 403464

tridecimal (13) 290908

tetradecimal (14) 1c0bda

pentadecimal (15) 14b994

As an angle

1,001,164° = 2,781 × 360° + 4°

4° ≈ 0.07 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬一千一百六十四
Chinese (financial): 壹佰萬壹仟壹佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠١١٦٤ Devanagari १००११६४ Bengali ১০০১১৬৪ Tamil ௧௦௦௧௧௬௪ Thai ๑๐๐๑๑๖๔ Tibetan ༡༠༠༡༡༦༤ Khmer ១០០១១៦៤ Lao ໑໐໐໑໑໖໔ Burmese ၁၀၀၁၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001164, here are decompositions:

5 + 1001159 = 1001164
11 + 1001153 = 1001164
41 + 1001123 = 1001164
71 + 1001093 = 1001164
83 + 1001081 = 1001164
137 + 1001027 = 1001164
191 + 1000973 = 1001164
233 + 1000931 = 1001164

Showing the first eight; more decompositions exist.

Hex color

#0F46CC

RGB(15, 70, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.204.

Address: 0.15.70.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.204

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 1,001,164 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 US1,001,164 on Google Patents ↗ Look up on USPTO ↗