Live analysis

1,009,100

1,009,100 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.).

1,009,100 (one million nine thousand one hundred) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 10,091. Its proper divisors sum to 1,180,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF65CC.

Abundant Number Cube-Free Evil Number Flippable Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,009,088 1,009,089 1,009,090 1,009,091 1,009,092 1,009,093 1,009,094 1,009,095 1,009,096 1,009,097 1,009,098 1,009,099 1,009,100 1,009,101 1,009,102 1,009,103 1,009,104 1,009,105 1,009,106 1,009,107 1,009,108 1,009,109 1,009,110 1,009,111 1,009,112

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 19,001
Flips to (rotate 180°): 16,001
Recamán's sequence: a(347,251) = 1,009,100
Square (n²): 1,018,282,810,000
Cube (n³): 1,027,549,183,571,000,000
Divisor count: 18
σ(n) — sum of divisors: 2,189,964
φ(n) — Euler's totient: 403,600
Sum of prime factors: 10,105

Primality

Prime factorization: 2 ² × 5 ² × 10091

Nearest primes: 1,009,097 (−3) · 1,009,121 (+21)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 10091 · 20182 · 40364 · 50455 · 100910 · 201820 · 252275 · 504550 (half) · 1009100

Aliquot sum (sum of proper divisors): 1,180,864

Factor pairs (a × b = 1,009,100)

1 × 1009100

2 × 504550

4 × 252275

5 × 201820

10 × 100910

20 × 50455

25 × 40364

50 × 20182

100 × 10091

First multiples

1,009,100 · 2,018,200 (double) · 3,027,300 · 4,036,400 · 5,045,500 · 6,054,600 · 7,063,700 · 8,072,800 · 9,081,900 · 10,091,000

Sums & aliquot sequence

As consecutive integers: 201,818 + 201,819 + 201,820 + 201,821 + 201,822 126,134 + 126,135 + … + 126,141 40,352 + 40,353 + … + 40,376 25,208 + 25,209 + … + 25,247

Aliquot sequence: 1,009,100 → 1,180,864 → 1,162,540 → 1,346,372 → 1,009,786 → 504,896 → 714,304 → 703,270 → 562,634 → 281,320 → 401,600 → 590,524 → 536,924 → 408,076 → 306,064 → 372,464 → 349,216 — unresolved within range

Continued fraction of √n

√1,009,100 = [1004; (1, 1, 5, 1, 3, 1, 18, 1, 1, 9, 1, 2, 1, 4, 4, 2, 1, 2, 1, 3, 3, 2, 5, 1, …)]

Representations

In words: one million nine thousand one hundred
Ordinal: 1009100th
Binary: 11110110010111001100
Octal: 3662714
Hexadecimal: 0xF65CC
Base64: D2XM
One's complement: 4,293,958,195 (32-bit)
Scientific notation: 1.0091 × 10⁶
As a duration: 1,009,100 s = 11 days, 16 hours, 18 minutes, 20 seconds

In other bases

ternary (3) 1220021020002

quaternary (4) 3312113030

quinary (5) 224242400

senary (6) 33343432

septenary (7) 11401661

nonary (9) 1807202

undecimal (11) 62a174

duodecimal (12) 407b78

tridecimal (13) 294401

tetradecimal (14) 1c3a68

pentadecimal (15) 14ded5

As an angle

1,009,100° = 2,803 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢
Chinese: 一百萬九千一百
Chinese (financial): 壹佰萬玖仟壹佰

In other modern scripts

Eastern Arabic ١٠٠٩١٠٠ Devanagari १००९१०० Bengali ১০০৯১০০ Tamil ௧௦௦௯௧௦௦ Thai ๑๐๐๙๑๐๐ Tibetan ༡༠༠༩༡༠༠ Khmer ១០០៩១០០ Lao ໑໐໐໙໑໐໐ Burmese ၁၀၀၉၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009100, here are decompositions:

3 + 1009097 = 1009100
109 + 1008991 = 1009100
163 + 1008937 = 1009100
199 + 1008901 = 1009100
229 + 1008871 = 1009100
241 + 1008859 = 1009100
271 + 1008829 = 1009100
283 + 1008817 = 1009100

Showing the first eight; more decompositions exist.

Hex color

#0F65CC

RGB(15, 101, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.101.204.

Address: 0.15.101.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.101.204

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 1,009,100 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 US1,009,100 on Google Patents ↗ Look up on USPTO ↗