Live analysis

1,006,164

1,006,164 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.).

1,006,164 (one million six thousand one hundred sixty-four) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 19 × 1,471. Its proper divisors sum to 1,672,876, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5A54.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,006,152 1,006,153 1,006,154 1,006,155 1,006,156 1,006,157 1,006,158 1,006,159 1,006,160 1,006,161 1,006,162 1,006,163 1,006,164 1,006,165 1,006,166 1,006,167 1,006,168 1,006,169 1,006,170 1,006,171 1,006,172 1,006,173 1,006,174 1,006,175 1,006,176

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,616,001
Square (n²): 1,012,365,994,896
Cube (n³): 1,018,606,218,888,538,944
Divisor count: 36
σ(n) — sum of divisors: 2,679,040
φ(n) — Euler's totient: 317,520
Sum of prime factors: 1,500

Primality

Prime factorization: 2 ² × 3 ² × 19 × 1471

Nearest primes: 1,006,163 (−1) · 1,006,169 (+5)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 19 · 36 · 38 · 57 · 76 · 114 · 171 · 228 · 342 · 684 · 1471 · 2942 · 4413 · 5884 · 8826 · 13239 · 17652 · 26478 · 27949 · 52956 · 55898 · 83847 · 111796 · 167694 · 251541 · 335388 · 503082 (half) · 1006164

Aliquot sum (sum of proper divisors): 1,672,876

Factor pairs (a × b = 1,006,164)

1 × 1006164

2 × 503082

3 × 335388

4 × 251541

6 × 167694

9 × 111796

12 × 83847

18 × 55898

19 × 52956

36 × 27949

38 × 26478

57 × 17652

76 × 13239

114 × 8826

171 × 5884

228 × 4413

342 × 2942

684 × 1471

First multiples

1,006,164 · 2,012,328 (double) · 3,018,492 · 4,024,656 · 5,030,820 · 6,036,984 · 7,043,148 · 8,049,312 · 9,055,476 · 10,061,640

Sums & aliquot sequence

As consecutive integers: 335,387 + 335,388 + 335,389 125,767 + 125,768 + … + 125,774 111,792 + 111,793 + … + 111,800 52,947 + 52,948 + … + 52,965

Aliquot sequence: 1,006,164 → 1,672,876 → 1,254,664 → 1,097,846 → 566,194 → 283,100 → 367,900 → 494,892 → 782,748 → 1,313,892 → 2,007,426 → 2,218,974 → 2,218,986 → 3,778,902 → 4,408,758 → 5,452,938 → 6,361,800 — unresolved within range

Continued fraction of √n

√1,006,164 = [1003; (12, 1, 16, 2, 1, 2, 3, 1, 10, 2, 3, 2, 2, 1, 1, 6, 1, 1, 1, 11, 4, 1, 1, 3, …)]

Representations

In words: one million six thousand one hundred sixty-four
Ordinal: 1006164th
Binary: 11110101101001010100
Octal: 3655124
Hexadecimal: 0xF5A54
Base64: D1pU
One's complement: 4,293,961,131 (32-bit)
Scientific notation: 1.006164 × 10⁶
As a duration: 1,006,164 s = 11 days, 15 hours, 29 minutes, 24 seconds

In other bases

ternary (3) 1220010012100

quaternary (4) 3311221110

quinary (5) 224144124

senary (6) 33322100

septenary (7) 11360265

nonary (9) 1803170

undecimal (11) 627a45

duodecimal (12) 406330

tridecimal (13) 292c83

tetradecimal (14) 1c296c

pentadecimal (15) 14d1c9

As an angle

1,006,164° = 2,794 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬六千一百六十四
Chinese (financial): 壹佰萬陸仟壹佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٦١٦٤ Devanagari १००६१६४ Bengali ১০০৬১৬৪ Tamil ௧௦௦௬௧௬௪ Thai ๑๐๐๖๑๖๔ Tibetan ༡༠༠༦༡༦༤ Khmer ១០០៦១៦៤ Lao ໑໐໐໖໑໖໔ Burmese ၁၀၀၆၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006164, here are decompositions:

11 + 1006153 = 1006164
13 + 1006151 = 1006164
17 + 1006147 = 1006164
31 + 1006133 = 1006164
41 + 1006123 = 1006164
73 + 1006091 = 1006164
101 + 1006063 = 1006164
127 + 1006037 = 1006164

Showing the first eight; more decompositions exist.

Hex color

#0F5A54

RGB(15, 90, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.84.

Address: 0.15.90.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.84

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 1,006,164 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 US1,006,164 on Google Patents ↗ Look up on USPTO ↗