Live analysis

1,003,340

1,003,340 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.).

1,003,340 (one million three thousand three hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 13 × 17 × 227. Its proper divisors sum to 1,409,812, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4F4C.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,003,328 1,003,329 1,003,330 1,003,331 1,003,332 1,003,333 1,003,334 1,003,335 1,003,336 1,003,337 1,003,338 1,003,339 1,003,340 1,003,341 1,003,342 1,003,343 1,003,344 1,003,345 1,003,346 1,003,347 1,003,348 1,003,349 1,003,350 1,003,351 1,003,352

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 433,001
Square (n²): 1,006,691,155,600
Cube (n³): 1,010,053,504,059,704,000
Divisor count: 48
σ(n) — sum of divisors: 2,413,152
φ(n) — Euler's totient: 347,136
Sum of prime factors: 266

Primality

Prime factorization: 2 ² × 5 × 13 × 17 × 227

Nearest primes: 1,003,337 (−3) · 1,003,349 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 10 · 13 · 17 · 20 · 26 · 34 · 52 · 65 · 68 · 85 · 130 · 170 · 221 · 227 · 260 · 340 · 442 · 454 · 884 · 908 · 1105 · 1135 · 2210 · 2270 · 2951 · 3859 · 4420 · 4540 · 5902 · 7718 · 11804 · 14755 · 15436 · 19295 · 29510 · 38590 · 50167 · 59020 · 77180 · 100334 · 200668 · 250835 · 501670 (half) · 1003340

Aliquot sum (sum of proper divisors): 1,409,812

Factor pairs (a × b = 1,003,340)

1 × 1003340

2 × 501670

4 × 250835

5 × 200668

10 × 100334

13 × 77180

17 × 59020

20 × 50167

26 × 38590

34 × 29510

52 × 19295

65 × 15436

68 × 14755

85 × 11804

130 × 7718

170 × 5902

221 × 4540

227 × 4420

260 × 3859

340 × 2951

442 × 2270

454 × 2210

884 × 1135

908 × 1105

First multiples

1,003,340 · 2,006,680 (double) · 3,010,020 · 4,013,360 · 5,016,700 · 6,020,040 · 7,023,380 · 8,026,720 · 9,030,060 · 10,033,400

Sums & aliquot sequence

As consecutive integers: 200,666 + 200,667 + 200,668 + 200,669 + 200,670 125,414 + 125,415 + … + 125,421 77,174 + 77,175 + … + 77,186 59,012 + 59,013 + … + 59,028

Aliquot sequence: 1,003,340 → 1,409,812 → 1,110,188 → 832,648 → 843,152 → 790,486 → 395,246 → 205,018 → 130,502 → 73,834 → 48,566 → 34,714 → 20,474 → 11,386 → 5,696 → 5,734 → 3,194 — unresolved within range

Continued fraction of √n

√1,003,340 = [1001; (1, 2, 56, 1, 9, 1, 1, 40, 2, 1, 3, 2, 2, 3, 3, 19, 1, 1, 7, 2, 7, 1, 1, 19, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one million three thousand three hundred forty
Ordinal: 1003340th
Binary: 11110100111101001100
Octal: 3647514
Hexadecimal: 0xF4F4C
Base64: D09M
One's complement: 4,293,963,955 (32-bit)
Scientific notation: 1.00334 × 10⁶
As a duration: 1,003,340 s = 11 days, 14 hours, 42 minutes, 20 seconds

In other bases

ternary (3) 1212222022202

quaternary (4) 3310331030

quinary (5) 224101330

senary (6) 33301032

septenary (7) 11346122

nonary (9) 1788282

undecimal (11) 625908

duodecimal (12) 404778

tridecimal (13) 2918c0

tetradecimal (14) 1c1912

pentadecimal (15) 14c445

As an angle

1,003,340° = 2,787 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬三千三百四十
Chinese (financial): 壹佰萬參仟參佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٣٣٤٠ Devanagari १००३३४० Bengali ১০০৩৩৪০ Tamil ௧௦௦௩௩௪௦ Thai ๑๐๐๓๓๔๐ Tibetan ༡༠༠༣༣༤༠ Khmer ១០០៣៣៤០ Lao ໑໐໐໓໓໔໐ Burmese ၁၀၀၃၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003340, here are decompositions:

3 + 1003337 = 1003340
61 + 1003279 = 1003340
67 + 1003273 = 1003340
139 + 1003201 = 1003340
199 + 1003141 = 1003340
229 + 1003111 = 1003340
337 + 1003003 = 1003340
367 + 1002973 = 1003340

Showing the first eight; more decompositions exist.

Hex color

#0F4F4C

RGB(15, 79, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.79.76.

Address: 0.15.79.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.79.76

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 1,003,340 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 US1,003,340 on Google Patents ↗ Look up on USPTO ↗