Live analysis

1,022,000

1,022,000 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.).

1,022,000 (one million twenty-two thousand) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5³ × 7 × 73. Its proper divisors sum to 1,840,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9830.

Abundant Number Gapful Number Harshad / Niven Octagonal Odious Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,021,988 1,021,989 1,021,990 1,021,991 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 2,201
Square (n²): 1,044,484,000,000
Cube (n³): 1,067,462,648,000,000,000
Divisor count: 80
σ(n) — sum of divisors: 2,862,912
φ(n) — Euler's totient: 345,600
Sum of prime factors: 103

Primality

Prime factorization: 2 ⁴ × 5 ³ × 7 × 73

Nearest primes: 1,021,973 (−27) · 1,022,011 (+11)

Divisors & multiples

All divisors (80)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 35 · 40 · 50 · 56 · 70 · 73 · 80 · 100 · 112 · 125 · 140 · 146 · 175 · 200 · 250 · 280 · 292 · 350 · 365 · 400 · 500 · 511 · 560 · 584 · 700 · 730 · 875 · 1000 · 1022 · 1168 · 1400 · 1460 · 1750 · 1825 · 2000 · 2044 · 2555 · 2800 · 2920 · 3500 · 3650 · 4088 · 5110 · 5840 · 7000 · 7300 · 8176 · 9125 · 10220 · 12775 · 14000 · 14600 · 18250 · 20440 · 25550 · 29200 · 36500 · 40880 · 51100 · 63875 · 73000 · 102200 · 127750 · 146000 · 204400 · 255500 · 511000 (half) · 1022000

Aliquot sum (sum of proper divisors): 1,840,912

Factor pairs (a × b = 1,022,000)

1 × 1022000

2 × 511000

4 × 255500

5 × 204400

7 × 146000

8 × 127750

10 × 102200

14 × 73000

16 × 63875

20 × 51100

25 × 40880

28 × 36500

35 × 29200

40 × 25550

50 × 20440

56 × 18250

70 × 14600

73 × 14000

80 × 12775

100 × 10220

112 × 9125

125 × 8176

140 × 7300

146 × 7000

175 × 5840

200 × 5110

250 × 4088

280 × 3650

292 × 3500

350 × 2920

365 × 2800

400 × 2555

500 × 2044

511 × 2000

560 × 1825

584 × 1750

700 × 1460

730 × 1400

875 × 1168

1000 × 1022

First multiples

1,022,000 · 2,044,000 (double) · 3,066,000 · 4,088,000 · 5,110,000 · 6,132,000 · 7,154,000 · 8,176,000 · 9,198,000 · 10,220,000

Sums & aliquot sequence

As consecutive integers: 204,398 + 204,399 + 204,400 + 204,401 + 204,402 145,997 + 145,998 + … + 146,003 40,868 + 40,869 + … + 40,892 31,922 + 31,923 + … + 31,953

Aliquot sequence: 1,022,000 → 1,840,912 → 1,725,886 → 862,946 → 645,598 → 356,282 → 178,144 → 192,296 → 205,234 → 106,346 → 53,176 → 57,344 → 73,720 → 102,680 → 143,560 → 191,600 → 269,680 — unresolved within range

Continued fraction of √n

√1,022,000 = [1010; (1, 15, 1, 2, 2, 4, 1, 1, 1, 2, 6, 3, 1, 1, 1, 80, 4, 4, 1, 3, 1, 4, 1, 4, …)]

Representations

In words: one million twenty-two thousand
Ordinal: 1022000th
Binary: 11111001100000110000
Octal: 3714060
Hexadecimal: 0xF9830
Base64: D5gw
One's complement: 4,293,945,295 (32-bit)
Scientific notation: 1.022 × 10⁶
As a duration: 1,022,000 s = 11 days, 19 hours, 53 minutes, 20 seconds

In other bases

ternary (3) 1220220220212

quaternary (4) 3321200300

quinary (5) 230201000

senary (6) 33523252

septenary (7) 11454410

nonary (9) 1826825

undecimal (11) 638931

duodecimal (12) 413528

tridecimal (13) 29a245

tetradecimal (14) 1c8640

pentadecimal (15) 152c35

As an angle

1,022,000° = 2,838 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼
Chinese: 一百零二萬二千
Chinese (financial): 壹佰零貳萬貳仟

In other modern scripts

Eastern Arabic ١٠٢٢٠٠٠ Devanagari १०२२००० Bengali ১০২২০০০ Tamil ௧௦௨௨௦௦௦ Thai ๑๐๒๒๐๐๐ Tibetan ༡༠༢༢༠༠༠ Khmer ១០២២០០០ Lao ໑໐໒໒໐໐໐ Burmese ၁၀၂၂၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1022000, here are decompositions:

37 + 1021963 = 1022000
103 + 1021897 = 1022000
139 + 1021861 = 1022000
151 + 1021849 = 1022000
163 + 1021837 = 1022000
193 + 1021807 = 1022000
223 + 1021777 = 1022000
241 + 1021759 = 1022000

Showing the first eight; more decompositions exist.

Hex color

#0F9830

RGB(15, 152, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.152.48.

Address: 0.15.152.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.152.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 2000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2000-02-01 (DMMYYYY (Euro, single-digit day))
2000-10-02 (MMDYYYY (US, single-digit day))
2000-02-10 (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 1,022,000 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 US1,022,000 on Google Patents ↗ Look up on USPTO ↗