Live analysis

1,004,164

1,004,164 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.).

1,004,164 (one million four thousand one hundred sixty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 35,863. Its proper divisors sum to 1,004,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5284.

Abundant Number Cube-Free Gapful Number Happy Number Odious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,004,152 1,004,153 1,004,154 1,004,155 1,004,156 1,004,157 1,004,158 1,004,159 1,004,160 1,004,161 1,004,162 1,004,163 1,004,164 1,004,165 1,004,166 1,004,167 1,004,168 1,004,169 1,004,170 1,004,171 1,004,172 1,004,173 1,004,174 1,004,175 1,004,176

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 4,614,001
Square (n²): 1,008,345,338,896
Cube (n³): 1,012,544,088,887,162,944
Divisor count: 12
σ(n) — sum of divisors: 2,008,384
φ(n) — Euler's totient: 430,344
Sum of prime factors: 35,874

Primality

Prime factorization: 2 ² × 7 × 35863

Nearest primes: 1,004,161 (−3) · 1,004,167 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 35863 · 71726 · 143452 · 251041 · 502082 (half) · 1004164

Aliquot sum (sum of proper divisors): 1,004,220

Factor pairs (a × b = 1,004,164)

1 × 1004164

2 × 502082

4 × 251041

7 × 143452

14 × 71726

28 × 35863

First multiples

1,004,164 · 2,008,328 (double) · 3,012,492 · 4,016,656 · 5,020,820 · 6,024,984 · 7,029,148 · 8,033,312 · 9,037,476 · 10,041,640

Sums & aliquot sequence

As consecutive integers: 143,449 + 143,450 + … + 143,455 125,517 + 125,518 + … + 125,524 17,904 + 17,905 + … + 17,959

Aliquot sequence: 1,004,164 → 1,004,220 → 2,481,444 → 4,885,916 → 4,944,100 → 7,548,590 → 7,980,082 → 5,500,622 → 3,235,714 → 1,625,546 → 1,030,198 → 634,010 → 595,246 → 297,626 → 221,872 → 279,956 → 264,364 — unresolved within range

Continued fraction of √n

√1,004,164 = [1002; (12, 1, 1, 9, 3, 3, 2, 53, 1, 2, 1, 2, 1, 2, 2, 1, 14, 1, 1, 2, 9, 1, 2, 15, …)]

Representations

In words: one million four thousand one hundred sixty-four
Ordinal: 1004164th
Binary: 11110101001010000100
Octal: 3651204
Hexadecimal: 0xF5284
Base64: D1KE
One's complement: 4,293,963,131 (32-bit)
Scientific notation: 1.004164 × 10⁶
As a duration: 1,004,164 s = 11 days, 14 hours, 56 minutes, 4 seconds

In other bases

ternary (3) 1220000110021

quaternary (4) 3311022010

quinary (5) 224113124

senary (6) 33304524

septenary (7) 11351410

nonary (9) 1800407

undecimal (11) 626497

duodecimal (12) 405144

tridecimal (13) 2920a5

tetradecimal (14) 1c1d40

pentadecimal (15) 14c7e4

As an angle

1,004,164° = 2,789 × 360° + 124°

124° ≈ 2.164 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬四千一百六十四
Chinese (financial): 壹佰萬肆仟壹佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٤١٦٤ Devanagari १००४१६४ Bengali ১০০৪১৬৪ Tamil ௧௦௦௪௧௬௪ Thai ๑๐๐๔๑๖๔ Tibetan ༡༠༠༤༡༦༤ Khmer ១០០៤១៦៤ Lao ໑໐໐໔໑໖໔ Burmese ၁၀၀၄၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004164, here are decompositions:

3 + 1004161 = 1004164
23 + 1004141 = 1004164
47 + 1004117 = 1004164
101 + 1004063 = 1004164
107 + 1004057 = 1004164
131 + 1004033 = 1004164
137 + 1004027 = 1004164
233 + 1003931 = 1004164

Showing the first eight; more decompositions exist.

Hex color

#0F5284

RGB(15, 82, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.132.

Address: 0.15.82.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.132

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 1,004,164 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 US1,004,164 on Google Patents ↗ Look up on USPTO ↗