Live analysis

1,007,340

1,007,340 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.).

1,007,340 (one million seven thousand three hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 103 × 163. Its proper divisors sum to 1,858,068, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5EEC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,007,328 1,007,329 1,007,330 1,007,331 1,007,332 1,007,333 1,007,334 1,007,335 1,007,336 1,007,337 1,007,338 1,007,339 1,007,340 1,007,341 1,007,342 1,007,343 1,007,344 1,007,345 1,007,346 1,007,347 1,007,348 1,007,349 1,007,350 1,007,351 1,007,352

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 437,001
Recamán's sequence: a(350,771) = 1,007,340
Square (n²): 1,014,733,875,600
Cube (n³): 1,022,182,022,246,904,000
Divisor count: 48
σ(n) — sum of divisors: 2,865,408
φ(n) — Euler's totient: 264,384
Sum of prime factors: 278

Primality

Prime factorization: 2 ² × 3 × 5 × 103 × 163

Nearest primes: 1,007,339 (−1) · 1,007,353 (+13)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 103 · 163 · 206 · 309 · 326 · 412 · 489 · 515 · 618 · 652 · 815 · 978 · 1030 · 1236 · 1545 · 1630 · 1956 · 2060 · 2445 · 3090 · 3260 · 4890 · 6180 · 9780 · 16789 · 33578 · 50367 · 67156 · 83945 · 100734 · 167890 · 201468 · 251835 · 335780 · 503670 (half) · 1007340

Aliquot sum (sum of proper divisors): 1,858,068

Factor pairs (a × b = 1,007,340)

1 × 1007340

2 × 503670

3 × 335780

4 × 251835

5 × 201468

6 × 167890

10 × 100734

12 × 83945

15 × 67156

20 × 50367

30 × 33578

60 × 16789

103 × 9780

163 × 6180

206 × 4890

309 × 3260

326 × 3090

412 × 2445

489 × 2060

515 × 1956

618 × 1630

652 × 1545

815 × 1236

978 × 1030

First multiples

1,007,340 · 2,014,680 (double) · 3,022,020 · 4,029,360 · 5,036,700 · 6,044,040 · 7,051,380 · 8,058,720 · 9,066,060 · 10,073,400

Sums & aliquot sequence

As consecutive integers: 335,779 + 335,780 + 335,781 201,466 + 201,467 + 201,468 + 201,469 + 201,470 125,914 + 125,915 + … + 125,921 67,149 + 67,150 + … + 67,163

Aliquot sequence: 1,007,340 → 1,858,068 → 2,838,806 → 1,419,406 → 709,706 → 369,658 → 184,832 → 204,931 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,007,340 = [1003; (1, 1, 1, 32, 4, 6, 4, 32, 1, 1, 1, 2006)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand three hundred forty
Ordinal: 1007340th
Binary: 11110101111011101100
Octal: 3657354
Hexadecimal: 0xF5EEC
Base64: D17s
One's complement: 4,293,959,955 (32-bit)
Scientific notation: 1.00734 × 10⁶
As a duration: 1,007,340 s = 11 days, 15 hours, 49 minutes

In other bases

ternary (3) 1220011210220

quaternary (4) 3311323230

quinary (5) 224213330

senary (6) 33331340

septenary (7) 11363565

nonary (9) 1804726

undecimal (11) 628914

duodecimal (12) 406b50

tridecimal (13) 293679

tetradecimal (14) 1c316c

pentadecimal (15) 14d710

As an angle

1,007,340° = 2,798 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬七千三百四十
Chinese (financial): 壹佰萬柒仟參佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٧٣٤٠ Devanagari १००७३४० Bengali ১০০৭৩৪০ Tamil ௧௦௦௭௩௪௦ Thai ๑๐๐๗๓๔๐ Tibetan ༡༠༠༧༣༤༠ Khmer ១០០៧៣៤០ Lao ໑໐໐໗໓໔໐ Burmese ၁၀၀၇၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007340, here are decompositions:

23 + 1007317 = 1007340
31 + 1007309 = 1007340
41 + 1007299 = 1007340
43 + 1007297 = 1007340
97 + 1007243 = 1007340
109 + 1007231 = 1007340
137 + 1007203 = 1007340
167 + 1007173 = 1007340

Showing the first eight; more decompositions exist.

Hex color

#0F5EEC

RGB(15, 94, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.236.

Address: 0.15.94.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.236

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 1,007,340 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 US1,007,340 on Google Patents ↗ Look up on USPTO ↗