Live analysis

1,006,440

1,006,440 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.).

1,006,440 (one million six thousand four hundred forty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 8,387. Its proper divisors sum to 2,013,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B68.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,428 1,006,429 1,006,430 1,006,431 1,006,432 1,006,433 1,006,434 1,006,435 1,006,436 1,006,437 1,006,438 1,006,439 1,006,440 1,006,441 1,006,442 1,006,443 1,006,444 1,006,445 1,006,446 1,006,447 1,006,448 1,006,449 1,006,450 1,006,451 1,006,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 446,001
Square (n²): 1,012,921,473,600
Cube (n³): 1,019,444,687,889,984,000
Divisor count: 32
σ(n) — sum of divisors: 3,019,680
φ(n) — Euler's totient: 268,352
Sum of prime factors: 8,401

Primality

Prime factorization: 2 ³ × 3 × 5 × 8387

Nearest primes: 1,006,433 (−7) · 1,006,441 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 8387 · 16774 · 25161 · 33548 · 41935 · 50322 · 67096 · 83870 · 100644 · 125805 · 167740 · 201288 · 251610 · 335480 · 503220 (half) · 1006440

Aliquot sum (sum of proper divisors): 2,013,240

Factor pairs (a × b = 1,006,440)

1 × 1006440

2 × 503220

3 × 335480

4 × 251610

5 × 201288

6 × 167740

8 × 125805

10 × 100644

12 × 83870

15 × 67096

20 × 50322

24 × 41935

30 × 33548

40 × 25161

60 × 16774

120 × 8387

First multiples

1,006,440 · 2,012,880 (double) · 3,019,320 · 4,025,760 · 5,032,200 · 6,038,640 · 7,045,080 · 8,051,520 · 9,057,960 · 10,064,400

Sums & aliquot sequence

As consecutive integers: 335,479 + 335,480 + 335,481 201,286 + 201,287 + 201,288 + 201,289 + 201,290 67,089 + 67,090 + … + 67,103 62,895 + 62,896 + … + 62,910

Aliquot sequence: 1,006,440 → 2,013,240 → 4,351,560 → 8,703,480 → 19,419,720 → 38,839,800 → 87,937,800 → 184,671,240 → 426,055,800 → 902,430,600 → 1,899,845,400 → 3,989,677,200 → 9,273,598,896 → 16,400,543,568 — keeps growing

Continued fraction of √n

√1,006,440 = [1003; (4, 1, 1, 1, 8, 1, 2, 4, 1, 1, 3, 1, 1, 1, 3, 9, 1, 2, 2, 2, 1, 1, 2, 7, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: one million six thousand four hundred forty
Ordinal: 1006440th
Binary: 11110101101101101000
Octal: 3655550
Hexadecimal: 0xF5B68
Base64: D1to
One's complement: 4,293,960,855 (32-bit)
Scientific notation: 1.00644 × 10⁶
As a duration: 1,006,440 s = 11 days, 15 hours, 34 minutes

In other bases

ternary (3) 1220010120120

quaternary (4) 3311231220

quinary (5) 224201230

senary (6) 33323240

septenary (7) 11361141

nonary (9) 1803516

undecimal (11) 628176

duodecimal (12) 406520

tridecimal (13) 293136

tetradecimal (14) 1c2ac8

pentadecimal (15) 14d310

As an angle

1,006,440° = 2,795 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬六千四百四十
Chinese (financial): 壹佰萬陸仟肆佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٦٤٤٠ Devanagari १००६४४० Bengali ১০০৬৪৪০ Tamil ௧௦௦௬௪௪௦ Thai ๑๐๐๖๔๔๐ Tibetan ༡༠༠༦༤༤༠ Khmer ១០០៦៤៤០ Lao ໑໐໐໖໔໔໐ Burmese ၁၀၀၆၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006440, here are decompositions:

7 + 1006433 = 1006440
47 + 1006393 = 1006440
73 + 1006367 = 1006440
79 + 1006361 = 1006440
89 + 1006351 = 1006440
101 + 1006339 = 1006440
103 + 1006337 = 1006440
107 + 1006333 = 1006440

Showing the first eight; more decompositions exist.

Hex color

#0F5B68

RGB(15, 91, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.104.

Address: 0.15.91.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.104

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 1,006,440 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 US1,006,440 on Google Patents ↗ Look up on USPTO ↗