Live analysis

1,006,100

1,006,100 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.).

1,006,100 (one million six thousand one hundred) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 10,061. Its proper divisors sum to 1,177,354, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5A14.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Gapful Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,006,088 1,006,089 1,006,090 1,006,091 1,006,092 1,006,093 1,006,094 1,006,095 1,006,096 1,006,097 1,006,098 1,006,099 1,006,100 1,006,101 1,006,102 1,006,103 1,006,104 1,006,105 1,006,106 1,006,107 1,006,108 1,006,109 1,006,110 1,006,111 1,006,112

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 16,001
Flips to (rotate 180°): 19,001
Square (n²): 1,012,237,210,000
Cube (n³): 1,018,411,856,981,000,000
Divisor count: 18
σ(n) — sum of divisors: 2,183,454
φ(n) — Euler's totient: 402,400
Sum of prime factors: 10,075

Primality

Prime factorization: 2 ² × 5 ² × 10061

Nearest primes: 1,006,091 (−9) · 1,006,123 (+23)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 10061 · 20122 · 40244 · 50305 · 100610 · 201220 · 251525 · 503050 (half) · 1006100

Aliquot sum (sum of proper divisors): 1,177,354

Factor pairs (a × b = 1,006,100)

1 × 1006100

2 × 503050

4 × 251525

5 × 201220

10 × 100610

20 × 50305

25 × 40244

50 × 20122

100 × 10061

First multiples

1,006,100 · 2,012,200 (double) · 3,018,300 · 4,024,400 · 5,030,500 · 6,036,600 · 7,042,700 · 8,048,800 · 9,054,900 · 10,061,000

Sums & aliquot sequence

As a sum of two squares: 284² + 962² = 350² + 940² = 542² + 844²

As consecutive integers: 201,218 + 201,219 + 201,220 + 201,221 + 201,222 125,759 + 125,760 + … + 125,766 40,232 + 40,233 + … + 40,256 25,133 + 25,134 + … + 25,172

Aliquot sequence: 1,006,100 → 1,177,354 → 681,686 → 387,514 → 193,760 → 332,416 → 452,474 → 298,342 → 199,322 → 99,664 → 93,466 → 55,034 → 39,334 → 20,714 → 10,360 → 17,000 → 25,120 — unresolved within range

Continued fraction of √n

√1,006,100 = [1003; (22, 22, 2, 48, 2, 3, 1, 2, 11, 1, 6, 1, 4, 1, 3, 5, 3, 1, 500, 1, 3, 5, 3, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: one million six thousand one hundred
Ordinal: 1006100th
Binary: 11110101101000010100
Octal: 3655024
Hexadecimal: 0xF5A14
Base64: D1oU
One's complement: 4,293,961,195 (32-bit)
Scientific notation: 1.0061 × 10⁶
As a duration: 1,006,100 s = 11 days, 15 hours, 28 minutes, 20 seconds

In other bases

ternary (3) 1220010002222

quaternary (4) 3311220110

quinary (5) 224143400

senary (6) 33321512

septenary (7) 11360144

nonary (9) 1803088

undecimal (11) 627997

duodecimal (12) 406298

tridecimal (13) 292c34

tetradecimal (14) 1c2924

pentadecimal (15) 14d185

As an angle

1,006,100° = 2,794 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢
Chinese: 一百萬六千一百
Chinese (financial): 壹佰萬陸仟壹佰

In other modern scripts

Eastern Arabic ١٠٠٦١٠٠ Devanagari १००६१०० Bengali ১০০৬১০০ Tamil ௧௦௦௬௧௦௦ Thai ๑๐๐๖๑๐๐ Tibetan ༡༠༠༦༡༠༠ Khmer ១០០៦១០០ Lao ໑໐໐໖໑໐໐ Burmese ၁၀၀၆၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006100, here are decompositions:

13 + 1006087 = 1006100
37 + 1006063 = 1006100
79 + 1006021 = 1006100
97 + 1006003 = 1006100
163 + 1005937 = 1006100
349 + 1005751 = 1006100
421 + 1005679 = 1006100
439 + 1005661 = 1006100

Showing the first eight; more decompositions exist.

Hex color

#0F5A14

RGB(15, 90, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.20.

Address: 0.15.90.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.20

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 1,006,100 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 US1,006,100 on Google Patents ↗ Look up on USPTO ↗