Live analysis

1,006,980

1,006,980 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.).

1,006,980 (one million six thousand nine hundred eighty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 13 × 1,291. Its proper divisors sum to 2,031,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5D84.

Abundant Number Arithmetic Number Cube-Free Flippable Gapful Number Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,006,968 1,006,969 1,006,970 1,006,971 1,006,972 1,006,973 1,006,974 1,006,975 1,006,976 1,006,977 1,006,978 1,006,979 1,006,980 1,006,981 1,006,982 1,006,983 1,006,984 1,006,985 1,006,986 1,006,987 1,006,988 1,006,989 1,006,990 1,006,991 1,006,992

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 896,001
Flips to (rotate 180°): 869,001
Square (n²): 1,014,008,720,400
Cube (n³): 1,021,086,501,268,392,000
Divisor count: 48
σ(n) — sum of divisors: 3,038,784
φ(n) — Euler's totient: 247,680
Sum of prime factors: 1,316

Primality

Prime factorization: 2 ² × 3 × 5 × 13 × 1291

Nearest primes: 1,006,979 (−1) · 1,006,987 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 13 · 15 · 20 · 26 · 30 · 39 · 52 · 60 · 65 · 78 · 130 · 156 · 195 · 260 · 390 · 780 · 1291 · 2582 · 3873 · 5164 · 6455 · 7746 · 12910 · 15492 · 16783 · 19365 · 25820 · 33566 · 38730 · 50349 · 67132 · 77460 · 83915 · 100698 · 167830 · 201396 · 251745 · 335660 · 503490 (half) · 1006980

Aliquot sum (sum of proper divisors): 2,031,804

Factor pairs (a × b = 1,006,980)

1 × 1006980

2 × 503490

3 × 335660

4 × 251745

5 × 201396

6 × 167830

10 × 100698

12 × 83915

13 × 77460

15 × 67132

20 × 50349

26 × 38730

30 × 33566

39 × 25820

52 × 19365

60 × 16783

65 × 15492

78 × 12910

130 × 7746

156 × 6455

195 × 5164

260 × 3873

390 × 2582

780 × 1291

First multiples

1,006,980 · 2,013,960 (double) · 3,020,940 · 4,027,920 · 5,034,900 · 6,041,880 · 7,048,860 · 8,055,840 · 9,062,820 · 10,069,800

Sums & aliquot sequence

As consecutive integers: 335,659 + 335,660 + 335,661 201,394 + 201,395 + 201,396 + 201,397 + 201,398 125,869 + 125,870 + … + 125,876 77,454 + 77,455 + … + 77,466

Aliquot sequence: 1,006,980 → 2,031,804 → 3,280,580 → 3,724,180 → 4,367,540 → 4,879,852 → 3,659,896 → 3,634,424 → 3,180,136 → 2,782,634 → 1,391,320 → 2,187,080 → 3,567,160 → 4,513,400 → 5,980,720 → 7,924,640 → 10,797,700 — unresolved within range

Continued fraction of √n

√1,006,980 = [1003; (2, 15, 17, 4, 4, 1, 1, 7, 3, 2, 14, 1, 8, 40, 1, 5, 1, 1, 12, 2, 2, 3, 1, 3, …)]

Representations

In words: one million six thousand nine hundred eighty
Ordinal: 1006980th
Binary: 11110101110110000100
Octal: 3656604
Hexadecimal: 0xF5D84
Base64: D12E
One's complement: 4,293,960,315 (32-bit)
Scientific notation: 1.00698 × 10⁶
As a duration: 1,006,980 s = 11 days, 15 hours, 43 minutes

In other bases

ternary (3) 1220011022120

quaternary (4) 3311312010

quinary (5) 224210410

senary (6) 33325540

septenary (7) 11362542

nonary (9) 1804276

undecimal (11) 628617

duodecimal (12) 4068b0

tridecimal (13) 293460

tetradecimal (14) 1c2d92

pentadecimal (15) 14d570

As an angle

1,006,980° = 2,797 × 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 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬六千九百八十
Chinese (financial): 壹佰萬陸仟玖佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٦٩٨٠ Devanagari १००६९८० Bengali ১০০৬৯৮০ Tamil ௧௦௦௬௯௮௦ Thai ๑๐๐๖๙๘๐ Tibetan ༡༠༠༦༩༨༠ Khmer ១០០៦៩៨០ Lao ໑໐໐໖໙໘໐ Burmese ၁၀၀၆၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006980, here are decompositions:

11 + 1006969 = 1006980
31 + 1006949 = 1006980
43 + 1006937 = 1006980
47 + 1006933 = 1006980
83 + 1006897 = 1006980
89 + 1006891 = 1006980
97 + 1006883 = 1006980
101 + 1006879 = 1006980

Showing the first eight; more decompositions exist.

Hex color

#0F5D84

RGB(15, 93, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.132.

Address: 0.15.93.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.132

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 1,006,980 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 US1,006,980 on Google Patents ↗ Look up on USPTO ↗