Live analysis

1,000,900

1,000,900 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.).

1,000,900 (one million nine hundred) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 10,009. Its proper divisors sum to 1,171,270, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF45C4.

Abundant Number Cube-Free Evil Number Flippable Gapful Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,000,888 1,000,889 1,000,890 1,000,891 1,000,892 1,000,893 1,000,894 1,000,895 1,000,896 1,000,897 1,000,898 1,000,899 1,000,900 1,000,901 1,000,902 1,000,903 1,000,904 1,000,905 1,000,906 1,000,907 1,000,908 1,000,909 1,000,910 1,000,911 1,000,912

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 90,001
Flips to (rotate 180°): 60,001
Square (n²): 1,001,800,810,000
Cube (n³): 1,002,702,430,729,000,000
Divisor count: 18
σ(n) — sum of divisors: 2,172,170
φ(n) — Euler's totient: 400,320
Sum of prime factors: 10,023

Primality

Prime factorization: 2 ² × 5 ² × 10009

Nearest primes: 1,000,889 (−11) · 1,000,907 (+7)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 10009 · 20018 · 40036 · 50045 · 100090 · 200180 · 250225 · 500450 (half) · 1000900

Aliquot sum (sum of proper divisors): 1,171,270

Factor pairs (a × b = 1,000,900)

1 × 1000900

2 × 500450

4 × 250225

5 × 200180

10 × 100090

20 × 50045

25 × 40036

50 × 20018

100 × 10009

First multiples

1,000,900 · 2,001,800 (double) · 3,002,700 · 4,003,600 · 5,004,500 · 6,005,400 · 7,006,300 · 8,007,200 · 9,008,100 · 10,009,000

Sums & aliquot sequence

As a sum of two squares: 30² + 1,000² = 576² + 818² = 624² + 782²

As consecutive integers: 200,178 + 200,179 + 200,180 + 200,181 + 200,182 125,109 + 125,110 + … + 125,116 40,024 + 40,025 + … + 40,048 25,003 + 25,004 + … + 25,042

Aliquot sequence: 1,000,900 → 1,171,270 → 937,034 → 669,334 → 334,670 → 367,114 → 269,690 → 221,710 → 177,386 → 115,480 → 144,440 → 196,840 → 350,360 → 481,240 → 626,840 → 783,640 → 1,302,920 — unresolved within range

Continued fraction of √n

√1,000,900 = [1000; (2, 4, 2, 24, 3, 1, 24, 1, 1, 2, 1, 4, 1, 1, 6, 3, 20, 1, 1, 9, 3, 2, 1, 2, …)]

Representations

In words: one million nine hundred
Ordinal: 1000900th
Binary: 11110100010111000100
Octal: 3642704
Hexadecimal: 0xF45C4
Base64: D0XE
One's complement: 4,293,966,395 (32-bit)
Scientific notation: 1.0009 × 10⁶
As a duration: 1,000,900 s = 11 days, 14 hours, 1 minute, 40 seconds

In other bases

ternary (3) 1212211222101

quaternary (4) 3310113010

quinary (5) 224012100

senary (6) 33241444

septenary (7) 11336035

nonary (9) 1784871

undecimal (11) 623a9a

duodecimal (12) 403284

tridecimal (13) 290764

tetradecimal (14) 1c0a8c

pentadecimal (15) 14b86a

Palindromic in base 9

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese: 一百萬零九百
Chinese (financial): 壹佰萬零玖佰

In other modern scripts

Eastern Arabic ١٠٠٠٩٠٠ Devanagari १०००९०० Bengali ১০০০৯০০ Tamil ௧௦௦௦௯௦௦ Thai ๑๐๐๐๙๐๐ Tibetan ༡༠༠༠༩༠༠ Khmer ១០០០៩០០ Lao ໑໐໐໐໙໐໐ Burmese ၁၀၀၀၉၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000900, here are decompositions:

11 + 1000889 = 1000900
41 + 1000859 = 1000900
53 + 1000847 = 1000900
71 + 1000829 = 1000900
107 + 1000793 = 1000900
137 + 1000763 = 1000900
179 + 1000721 = 1000900
233 + 1000667 = 1000900

Showing the first eight; more decompositions exist.

Hex color

#0F45C4

RGB(15, 69, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.69.196.

Address: 0.15.69.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.69.196

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 1,000,900 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 US1,000,900 on Google Patents ↗ Look up on USPTO ↗