Live analysis

1,004,022

1,004,022 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.).

1,004,022 (one million four thousand twenty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 18,593. Its proper divisors sum to 1,227,258, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF51F6.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,004,010 1,004,011 1,004,012 1,004,013 1,004,014 1,004,015 1,004,016 1,004,017 1,004,018 1,004,019 1,004,020 1,004,021 1,004,022 1,004,023 1,004,024 1,004,025 1,004,026 1,004,027 1,004,028 1,004,029 1,004,030 1,004,031 1,004,032 1,004,033 1,004,034

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,204,001
Square (n²): 1,008,060,176,484
Cube (n³): 1,012,114,594,513,818,648
Divisor count: 16
σ(n) — sum of divisors: 2,231,280
φ(n) — Euler's totient: 334,656
Sum of prime factors: 18,604

Primality

Prime factorization: 2 × 3 ³ × 18593

Nearest primes: 1,003,963 (−59) · 1,004,027 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 18593 · 37186 · 55779 · 111558 · 167337 · 334674 · 502011 (half) · 1004022

Aliquot sum (sum of proper divisors): 1,227,258

Factor pairs (a × b = 1,004,022)

1 × 1004022

2 × 502011

3 × 334674

6 × 167337

9 × 111558

18 × 55779

27 × 37186

54 × 18593

First multiples

1,004,022 · 2,008,044 (double) · 3,012,066 · 4,016,088 · 5,020,110 · 6,024,132 · 7,028,154 · 8,032,176 · 9,036,198 · 10,040,220

Sums & aliquot sequence

As consecutive integers: 334,673 + 334,674 + 334,675 251,004 + 251,005 + 251,006 + 251,007 111,554 + 111,555 + … + 111,562 83,663 + 83,664 + … + 83,674

Aliquot sequence: 1,004,022 → 1,227,258 → 1,500,102 → 1,750,158 → 2,041,890 → 3,029,790 → 4,559,586 → 4,630,782 → 5,343,378 → 5,343,390 → 9,621,378 → 12,829,050 → 28,418,310 → 47,364,570 → 86,981,382 → 107,978,058 → 126,272,790 — unresolved within range

Continued fraction of √n

√1,004,022 = [1002; (111, 2, 1, 222, 1002, 222, 1, 2, 111, 2004)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million four thousand twenty-two
Ordinal: 1004022nd
Binary: 11110101000111110110
Octal: 3650766
Hexadecimal: 0xF51F6
Base64: D1H2
One's complement: 4,293,963,273 (32-bit)
Scientific notation: 1.004022 × 10⁶
As a duration: 1,004,022 s = 11 days, 14 hours, 53 minutes, 42 seconds

In other bases

ternary (3) 1220000021000

quaternary (4) 3311013312

quinary (5) 224112042

senary (6) 33304130

septenary (7) 11351115

nonary (9) 1800230

undecimal (11) 626378

duodecimal (12) 405046

tridecimal (13) 291cc6

tetradecimal (14) 1c1c7c

pentadecimal (15) 14c74c

As an angle

1,004,022° = 2,788 × 360° + 342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺
Chinese: 一百萬四千零二十二
Chinese (financial): 壹佰萬肆仟零貳拾貳

In other modern scripts

Eastern Arabic ١٠٠٤٠٢٢ Devanagari १००४०२२ Bengali ১০০৪০২২ Tamil ௧௦௦௪௦௨௨ Thai ๑๐๐๔๐๒๒ Tibetan ༡༠༠༤༠༢༢ Khmer ១០០៤០២២ Lao ໑໐໐໔໐໒໒ Burmese ၁၀၀၄၀၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004022, here are decompositions:

59 + 1003963 = 1004022
79 + 1003943 = 1004022
109 + 1003913 = 1004022
113 + 1003909 = 1004022
181 + 1003841 = 1004022
251 + 1003771 = 1004022
269 + 1003753 = 1004022
281 + 1003741 = 1004022

Showing the first eight; more decompositions exist.

Hex color

#0F51F6

RGB(15, 81, 246)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.246.

Address: 0.15.81.246
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.246

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 1,004,022 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 US1,004,022 on Google Patents ↗ Look up on USPTO ↗