Live analysis

1,005,340

1,005,340 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.).

1,005,340 (one million five thousand three hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 43 × 167. Its proper divisors sum to 1,478,372, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF571C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,005,328 1,005,329 1,005,330 1,005,331 1,005,332 1,005,333 1,005,334 1,005,335 1,005,336 1,005,337 1,005,338 1,005,339 1,005,340 1,005,341 1,005,342 1,005,343 1,005,344 1,005,345 1,005,346 1,005,347 1,005,348 1,005,349 1,005,350 1,005,351 1,005,352

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 435,001
Square (n²): 1,010,708,515,600
Cube (n³): 1,016,105,699,073,304,000
Divisor count: 48
σ(n) — sum of divisors: 2,483,712
φ(n) — Euler's totient: 334,656
Sum of prime factors: 226

Primality

Prime factorization: 2 ² × 5 × 7 × 43 × 167

Nearest primes: 1,005,331 (−9) · 1,005,349 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 43 · 70 · 86 · 140 · 167 · 172 · 215 · 301 · 334 · 430 · 602 · 668 · 835 · 860 · 1169 · 1204 · 1505 · 1670 · 2338 · 3010 · 3340 · 4676 · 5845 · 6020 · 7181 · 11690 · 14362 · 23380 · 28724 · 35905 · 50267 · 71810 · 100534 · 143620 · 201068 · 251335 · 502670 (half) · 1005340

Aliquot sum (sum of proper divisors): 1,478,372

Factor pairs (a × b = 1,005,340)

1 × 1005340

2 × 502670

4 × 251335

5 × 201068

7 × 143620

10 × 100534

14 × 71810

20 × 50267

28 × 35905

35 × 28724

43 × 23380

70 × 14362

86 × 11690

140 × 7181

167 × 6020

172 × 5845

215 × 4676

301 × 3340

334 × 3010

430 × 2338

602 × 1670

668 × 1505

835 × 1204

860 × 1169

First multiples

1,005,340 · 2,010,680 (double) · 3,016,020 · 4,021,360 · 5,026,700 · 6,032,040 · 7,037,380 · 8,042,720 · 9,048,060 · 10,053,400

Sums & aliquot sequence

As consecutive integers: 201,066 + 201,067 + 201,068 + 201,069 + 201,070 143,617 + 143,618 + … + 143,623 125,664 + 125,665 + … + 125,671 28,707 + 28,708 + … + 28,741

Aliquot sequence: 1,005,340 → 1,478,372 → 1,560,412 → 1,697,444 → 1,697,500 → 2,588,628 → 4,314,604 → 4,365,844 → 4,581,164 → 4,581,220 → 6,684,188 → 7,153,132 → 7,153,188 → 13,318,620 → 31,570,980 → 69,457,500 → 195,145,300 — unresolved within range

Continued fraction of √n

√1,005,340 = [1002; (1, 1, 1, 500, 1, 1, 1, 2004)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million five thousand three hundred forty
Ordinal: 1005340th
Binary: 11110101011100011100
Octal: 3653434
Hexadecimal: 0xF571C
Base64: D1cc
One's complement: 4,293,961,955 (32-bit)
Scientific notation: 1.00534 × 10⁶
As a duration: 1,005,340 s = 11 days, 15 hours, 15 minutes, 40 seconds

In other bases

ternary (3) 1220002001211

quaternary (4) 3311130130

quinary (5) 224132330

senary (6) 33314204

septenary (7) 11355010

nonary (9) 1802054

undecimal (11) 627366

duodecimal (12) 405964

tridecimal (13) 29279b

tetradecimal (14) 1c2540

pentadecimal (15) 14cd2a

As an angle

1,005,340° = 2,792 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬五千三百四十
Chinese (financial): 壹佰萬伍仟參佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٥٣٤٠ Devanagari १००५३४० Bengali ১০০৫৩৪০ Tamil ௧௦௦௫௩௪௦ Thai ๑๐๐๕๓๔๐ Tibetan ༡༠༠༥༣༤༠ Khmer ១០០៥៣៤០ Lao ໑໐໐໕໓໔໐ Burmese ၁၀၀၅၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005340, here are decompositions:

23 + 1005317 = 1005340
47 + 1005293 = 1005340
53 + 1005287 = 1005340
71 + 1005269 = 1005340
101 + 1005239 = 1005340
131 + 1005209 = 1005340
137 + 1005203 = 1005340
179 + 1005161 = 1005340

Showing the first eight; more decompositions exist.

Hex color

#0F571C

RGB(15, 87, 28)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.87.28.

Address: 0.15.87.28
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.87.28

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 1,005,340 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 US1,005,340 on Google Patents ↗ Look up on USPTO ↗