Live analysis

1,009,344

1,009,344 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.).

1,009,344 (one million nine thousand three hundred forty-four) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 7 × 751. Its proper divisors sum to 2,046,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF66C0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,009,332 1,009,333 1,009,334 1,009,335 1,009,336 1,009,337 1,009,338 1,009,339 1,009,340 1,009,341 1,009,342 1,009,343 1,009,344 1,009,345 1,009,346 1,009,347 1,009,348 1,009,349 1,009,350 1,009,351 1,009,352 1,009,353 1,009,354 1,009,355 1,009,356

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,439,001
Recamán's sequence: a(346,763) = 1,009,344
Square (n²): 1,018,775,310,336
Cube (n³): 1,028,294,746,835,779,584
Divisor count: 56
σ(n) — sum of divisors: 3,056,128
φ(n) — Euler's totient: 288,000
Sum of prime factors: 773

Primality

Prime factorization: 2 ⁶ × 3 × 7 × 751

Nearest primes: 1,009,343 (−1) · 1,009,357 (+13)

Divisors & multiples

All divisors (56)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 32 · 42 · 48 · 56 · 64 · 84 · 96 · 112 · 168 · 192 · 224 · 336 · 448 · 672 · 751 · 1344 · 1502 · 2253 · 3004 · 4506 · 5257 · 6008 · 9012 · 10514 · 12016 · 15771 · 18024 · 21028 · 24032 · 31542 · 36048 · 42056 · 48064 · 63084 · 72096 · 84112 · 126168 · 144192 · 168224 · 252336 · 336448 · 504672 (half) · 1009344

Aliquot sum (sum of proper divisors): 2,046,784

Factor pairs (a × b = 1,009,344)

1 × 1009344

2 × 504672

3 × 336448

4 × 252336

6 × 168224

7 × 144192

8 × 126168

12 × 84112

14 × 72096

16 × 63084

21 × 48064

24 × 42056

28 × 36048

32 × 31542

42 × 24032

48 × 21028

56 × 18024

64 × 15771

84 × 12016

96 × 10514

112 × 9012

168 × 6008

192 × 5257

224 × 4506

336 × 3004

448 × 2253

672 × 1502

751 × 1344

First multiples

1,009,344 · 2,018,688 (double) · 3,028,032 · 4,037,376 · 5,046,720 · 6,056,064 · 7,065,408 · 8,074,752 · 9,084,096 · 10,093,440

Sums & aliquot sequence

As consecutive integers: 336,447 + 336,448 + 336,449 144,189 + 144,190 + … + 144,195 48,054 + 48,055 + … + 48,074 7,822 + 7,823 + … + 7,949

Aliquot sequence: 1,009,344 → 2,046,784 → 2,014,930 → 1,611,962 → 1,046,176 → 1,013,546 → 506,776 → 443,444 → 346,156 → 259,624 → 284,696 → 277,504 → 279,280 → 370,232 → 323,968 → 321,692 → 321,748 — unresolved within range

Continued fraction of √n

√1,009,344 = [1004; (1, 1, 1, 19, 2, 2, 1, 9, 1, 2, 3, 4, 10, 4, 3, 2, 1, 9, 1, 2, 2, 19, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one million nine thousand three hundred forty-four
Ordinal: 1009344th
Binary: 11110110011011000000
Octal: 3663300
Hexadecimal: 0xF66C0
Base64: D2bA
One's complement: 4,293,957,951 (32-bit)
Scientific notation: 1.009344 × 10⁶
As a duration: 1,009,344 s = 11 days, 16 hours, 22 minutes, 24 seconds

In other bases

ternary (3) 1220021120010

quaternary (4) 3312123000

quinary (5) 224244334

senary (6) 33344520

septenary (7) 11402460

nonary (9) 1807503

undecimal (11) 62a376

duodecimal (12) 408140

tridecimal (13) 29455b

tetradecimal (14) 1c3ba0

pentadecimal (15) 14e0e9

As an angle

1,009,344° = 2,803 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬九千三百四十四
Chinese (financial): 壹佰萬玖仟參佰肆拾肆

In other modern scripts

Eastern Arabic ١٠٠٩٣٤٤ Devanagari १००९३४४ Bengali ১০০৯৩৪৪ Tamil ௧௦௦௯௩௪௪ Thai ๑๐๐๙๓๔๔ Tibetan ༡༠༠༩༣༤༤ Khmer ១០០៩៣៤៤ Lao ໑໐໐໙໓໔໔ Burmese ၁၀၀၉၃၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009344, here are decompositions:

23 + 1009321 = 1009344
41 + 1009303 = 1009344
43 + 1009301 = 1009344
53 + 1009291 = 1009344
97 + 1009247 = 1009344
101 + 1009243 = 1009344
107 + 1009237 = 1009344
137 + 1009207 = 1009344

Showing the first eight; more decompositions exist.

Hex color

#0F66C0

RGB(15, 102, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.102.192.

Address: 0.15.102.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.102.192

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 1,009,344 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 US1,009,344 on Google Patents ↗ Look up on USPTO ↗