Live analysis

1,006,380

1,006,380 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.).

1,006,380 (one million six thousand three hundred eighty) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 5,591. Its proper divisors sum to 2,046,852, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B2C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,006,368 1,006,369 1,006,370 1,006,371 1,006,372 1,006,373 1,006,374 1,006,375 1,006,376 1,006,377 1,006,378 1,006,379 1,006,380 1,006,381 1,006,382 1,006,383 1,006,384 1,006,385 1,006,386 1,006,387 1,006,388 1,006,389 1,006,390 1,006,391 1,006,392

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 836,001
Square (n²): 1,012,800,704,400
Cube (n³): 1,019,262,372,894,072,000
Divisor count: 36
σ(n) — sum of divisors: 3,053,232
φ(n) — Euler's totient: 268,320
Sum of prime factors: 5,606

Primality

Prime factorization: 2 ² × 3 ² × 5 × 5591

Nearest primes: 1,006,367 (−13) · 1,006,391 (+11)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 90 · 180 · 5591 · 11182 · 16773 · 22364 · 27955 · 33546 · 50319 · 55910 · 67092 · 83865 · 100638 · 111820 · 167730 · 201276 · 251595 · 335460 · 503190 (half) · 1006380

Aliquot sum (sum of proper divisors): 2,046,852

Factor pairs (a × b = 1,006,380)

1 × 1006380

2 × 503190

3 × 335460

4 × 251595

5 × 201276

6 × 167730

9 × 111820

10 × 100638

12 × 83865

15 × 67092

18 × 55910

20 × 50319

30 × 33546

36 × 27955

45 × 22364

60 × 16773

90 × 11182

180 × 5591

First multiples

1,006,380 · 2,012,760 (double) · 3,019,140 · 4,025,520 · 5,031,900 · 6,038,280 · 7,044,660 · 8,051,040 · 9,057,420 · 10,063,800

Sums & aliquot sequence

As consecutive integers: 335,459 + 335,460 + 335,461 201,274 + 201,275 + 201,276 + 201,277 + 201,278 125,794 + 125,795 + … + 125,801 111,816 + 111,817 + … + 111,824

Aliquot sequence: 1,006,380 → 2,046,852 → 3,127,226 → 1,640,698 → 820,352 → 1,107,448 → 1,102,952 → 965,098 → 513,494 → 297,346 → 221,630 → 188,770 → 159,710 → 127,786 → 65,498 → 32,752 → 34,208 — unresolved within range

Continued fraction of √n

√1,006,380 = [1003; (5, 2, 2, 4, 1, 13, 45, 1, 1, 8, 1, 3, 1, 1, 1, 1, 2, 3, 1, 1, 2, 16, 5, 4, …)]

Representations

In words: one million six thousand three hundred eighty
Ordinal: 1006380th
Binary: 11110101101100101100
Octal: 3655454
Hexadecimal: 0xF5B2C
Base64: D1ss
One's complement: 4,293,960,915 (32-bit)
Scientific notation: 1.00638 × 10⁶
As a duration: 1,006,380 s = 11 days, 15 hours, 33 minutes

In other bases

ternary (3) 1220010111100

quaternary (4) 3311230230

quinary (5) 224201010

senary (6) 33323100

septenary (7) 11361024

nonary (9) 1803440

undecimal (11) 628121

duodecimal (12) 406490

tridecimal (13) 2930bb

tetradecimal (14) 1c2a84

pentadecimal (15) 14d2c0

As an angle

1,006,380° = 2,795 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬六千三百八十
Chinese (financial): 壹佰萬陸仟參佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٦٣٨٠ Devanagari १००६३८० Bengali ১০০৬৩৮০ Tamil ௧௦௦௬௩௮௦ Thai ๑๐๐๖๓๘๐ Tibetan ༡༠༠༦༣༨༠ Khmer ១០០៦៣៨០ Lao ໑໐໐໖໓໘໐ Burmese ၁၀၀၆၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006380, here are decompositions:

13 + 1006367 = 1006380
19 + 1006361 = 1006380
29 + 1006351 = 1006380
41 + 1006339 = 1006380
43 + 1006337 = 1006380
47 + 1006333 = 1006380
71 + 1006309 = 1006380
73 + 1006307 = 1006380

Showing the first eight; more decompositions exist.

Hex color

#0F5B2C

RGB(15, 91, 44)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.44.

Address: 0.15.91.44
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.44

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 1,006,380 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 US1,006,380 on Google Patents ↗ Look up on USPTO ↗