Live analysis

1,022,004

1,022,004 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.).

1,022,004 (one million twenty-two thousand four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3³ × 9,463. Its proper divisors sum to 1,627,916, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9834.

Abundant Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,021,992 1,021,993 1,021,994 1,021,995 1,021,996 1,021,997 1,021,998 1,021,999 1,022,000 1,022,001 1,022,002 1,022,003 1,022,004 1,022,005 1,022,006 1,022,007 1,022,008 1,022,009 1,022,010 1,022,011 1,022,012 1,022,013 1,022,014 1,022,015 1,022,016

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,002,201
Square (n²): 1,044,492,176,016
Cube (n³): 1,067,475,181,857,056,064
Divisor count: 24
σ(n) — sum of divisors: 2,649,920
φ(n) — Euler's totient: 340,632
Sum of prime factors: 9,476

Primality

Prime factorization: 2 ² × 3 ³ × 9463

Nearest primes: 1,021,973 (−31) · 1,022,011 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 108 · 9463 · 18926 · 28389 · 37852 · 56778 · 85167 · 113556 · 170334 · 255501 · 340668 · 511002 (half) · 1022004

Aliquot sum (sum of proper divisors): 1,627,916

Factor pairs (a × b = 1,022,004)

1 × 1022004

2 × 511002

3 × 340668

4 × 255501

6 × 170334

9 × 113556

12 × 85167

18 × 56778

27 × 37852

36 × 28389

54 × 18926

108 × 9463

First multiples

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

Sums & aliquot sequence

As consecutive integers: 340,667 + 340,668 + 340,669 127,747 + 127,748 + … + 127,754 113,552 + 113,553 + … + 113,560 42,572 + 42,573 + … + 42,595

Aliquot sequence: 1,022,004 → 1,627,916 → 1,239,172 → 1,126,604 → 844,960 → 1,151,636 → 880,492 → 660,376 → 680,264 → 744,376 → 651,344 → 610,666 → 457,238 → 228,622 → 114,314 → 60,154 → 34,886 — unresolved within range

Continued fraction of √n

√1,022,004 = [1010; (1, 16, 3, 1, 1, 4, 2, 1, 27, 1, 3, 1, 2, 1, 1, 23, 4, 1, 2, 1, 4, 4, 3, 126, …)]

Representations

In words: one million twenty-two thousand four
Ordinal: 1022004th
Binary: 11111001100000110100
Octal: 3714064
Hexadecimal: 0xF9834
Base64: D5g0
One's complement: 4,293,945,291 (32-bit)
Scientific notation: 1.022004 × 10⁶
As a duration: 1,022,004 s = 11 days, 19 hours, 53 minutes, 24 seconds

In other bases

ternary (3) 1220220221000

quaternary (4) 3321200310

quinary (5) 230201004

senary (6) 33523300

septenary (7) 11454414

nonary (9) 1826830

undecimal (11) 638935

duodecimal (12) 413530

tridecimal (13) 29a249

tetradecimal (14) 1c8644

pentadecimal (15) 152c39

As an angle

1,022,004° = 2,838 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺
Chinese: 一百零二萬二千零四
Chinese (financial): 壹佰零貳萬貳仟零肆

In other modern scripts

Eastern Arabic ١٠٢٢٠٠٤ Devanagari १०२२००४ Bengali ১০২২০০৪ Tamil ௧௦௨௨௦௦௪ Thai ๑๐๒๒๐๐๔ Tibetan ༡༠༢༢༠༠༤ Khmer ១០២២០០៤ Lao ໑໐໒໒໐໐໔ Burmese ၁၀၂၂၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1022004, here are decompositions:

31 + 1021973 = 1022004
41 + 1021963 = 1022004
43 + 1021961 = 1022004
97 + 1021907 = 1022004
107 + 1021897 = 1022004
167 + 1021837 = 1022004
173 + 1021831 = 1022004
197 + 1021807 = 1022004

Showing the first eight; more decompositions exist.

Hex color

#0F9834

RGB(15, 152, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.152.52.

Address: 0.15.152.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.152.52

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 2004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2004-02-01 (DMMYYYY (Euro, single-digit day))
2004-10-02 (MMDYYYY (US, single-digit day))
2004-02-10 (DDMYYYY (Euro, single-digit month))

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 1,022,004 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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