Live analysis

1,003,164

1,003,164 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.).

1,003,164 (one million three thousand one hundred sixty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 83,597. Its proper divisors sum to 1,337,580, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4E9C.

Abundant Number Arithmetic Number Cube-Free Evil Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,003,152 1,003,153 1,003,154 1,003,155 1,003,156 1,003,157 1,003,158 1,003,159 1,003,160 1,003,161 1,003,162 1,003,163 1,003,164 1,003,165 1,003,166 1,003,167 1,003,168 1,003,169 1,003,170 1,003,171 1,003,172 1,003,173 1,003,174 1,003,175 1,003,176

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,613,001
Square (n²): 1,006,338,010,896
Cube (n³): 1,009,522,064,362,474,944
Divisor count: 12
σ(n) — sum of divisors: 2,340,744
φ(n) — Euler's totient: 334,384
Sum of prime factors: 83,604

Primality

Prime factorization: 2 ² × 3 × 83597

Nearest primes: 1,003,141 (−23) · 1,003,193 (+29)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 83597 · 167194 · 250791 · 334388 · 501582 (half) · 1003164

Aliquot sum (sum of proper divisors): 1,337,580

Factor pairs (a × b = 1,003,164)

1 × 1003164

2 × 501582

3 × 334388

4 × 250791

6 × 167194

12 × 83597

First multiples

1,003,164 · 2,006,328 (double) · 3,009,492 · 4,012,656 · 5,015,820 · 6,018,984 · 7,022,148 · 8,025,312 · 9,028,476 · 10,031,640

Sums & aliquot sequence

As consecutive integers: 334,387 + 334,388 + 334,389 125,392 + 125,393 + … + 125,399 41,787 + 41,788 + … + 41,810

Aliquot sequence: 1,003,164 → 1,337,580 → 2,825,460 → 6,530,796 → 10,427,236 → 7,820,434 → 3,925,214 → 1,975,474 → 1,025,486 → 892,594 → 504,494 → 294,226 → 150,878 → 128,002 → 97,790 → 123,394 → 63,806 — unresolved within range

Continued fraction of √n

√1,003,164 = [1001; (1, 1, 2, 1, 1, 2, 9, 2, 12, 2, 4, 2, 1, 1, 5, 4, 3, 10, 14, 4, 1, 2, 1, 2, …)]

Representations

In words: one million three thousand one hundred sixty-four
Ordinal: 1003164th
Binary: 11110100111010011100
Octal: 3647234
Hexadecimal: 0xF4E9C
Base64: D06c
One's complement: 4,293,964,131 (32-bit)
Scientific notation: 1.003164 × 10⁶
As a duration: 1,003,164 s = 11 days, 14 hours, 39 minutes, 24 seconds

In other bases

ternary (3) 1212222002020

quaternary (4) 3310322130

quinary (5) 224100124

senary (6) 33300140

septenary (7) 11345451

nonary (9) 1788066

undecimal (11) 625768

duodecimal (12) 404650

tridecimal (13) 2917b6

tetradecimal (14) 1c1828

pentadecimal (15) 14c379

As an angle

1,003,164° = 2,786 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬三千一百六十四
Chinese (financial): 壹佰萬參仟壹佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٣١٦٤ Devanagari १००३१६४ Bengali ১০০৩১৬৪ Tamil ௧௦௦௩௧௬௪ Thai ๑๐๐๓๑๖๔ Tibetan ༡༠༠༣༡༦༤ Khmer ១០០៣១៦៤ Lao ໑໐໐໓໑໖໔ Burmese ၁၀၀၃၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003164, here are decompositions:

23 + 1003141 = 1003164
31 + 1003133 = 1003164
53 + 1003111 = 1003164
61 + 1003103 = 1003164
67 + 1003097 = 1003164
73 + 1003091 = 1003164
163 + 1003001 = 1003164
191 + 1002973 = 1003164

Showing the first eight; more decompositions exist.

Hex color

#0F4E9C

RGB(15, 78, 156)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.156.

Address: 0.15.78.156
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.156

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 1,003,164 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 US1,003,164 on Google Patents ↗ Look up on USPTO ↗