Live analysis

1,009,984

1,009,984 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.).

1,009,984 (one million nine thousand nine hundred eighty-four) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 43 × 367. Its proper divisors sum to 1,046,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6940.

Abundant Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,009,972 1,009,973 1,009,974 1,009,975 1,009,976 1,009,977 1,009,978 1,009,979 1,009,980 1,009,981 1,009,982 1,009,983 1,009,984 1,009,985 1,009,986 1,009,987 1,009,988 1,009,989 1,009,990 1,009,991 1,009,992 1,009,993 1,009,994 1,009,995 1,009,996

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 31
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 4,899,001
Square (n²): 1,020,067,680,256
Cube (n³): 1,030,252,035,975,675,904
Divisor count: 28
σ(n) — sum of divisors: 2,056,384
φ(n) — Euler's totient: 491,904
Sum of prime factors: 422

Primality

Prime factorization: 2 ⁶ × 43 × 367

Nearest primes: 1,009,963 (−21) · 1,009,991 (+7)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 8 · 16 · 32 · 43 · 64 · 86 · 172 · 344 · 367 · 688 · 734 · 1376 · 1468 · 2752 · 2936 · 5872 · 11744 · 15781 · 23488 · 31562 · 63124 · 126248 · 252496 · 504992 (half) · 1009984

Aliquot sum (sum of proper divisors): 1,046,400

Factor pairs (a × b = 1,009,984)

1 × 1009984

2 × 504992

4 × 252496

8 × 126248

16 × 63124

32 × 31562

43 × 23488

64 × 15781

86 × 11744

172 × 5872

344 × 2936

367 × 2752

688 × 1468

734 × 1376

First multiples

1,009,984 · 2,019,968 (double) · 3,029,952 · 4,039,936 · 5,049,920 · 6,059,904 · 7,069,888 · 8,079,872 · 9,089,856 · 10,099,840

Sums & aliquot sequence

As consecutive integers: 23,467 + 23,468 + … + 23,509 7,827 + 7,828 + … + 7,954 2,569 + 2,570 + … + 2,935

Aliquot sequence: 1,009,984 → 1,046,400 → 2,431,800 → 6,950,040 → 13,900,440 → 27,801,240 → 55,602,840 → 116,598,120 → 233,196,600 → 656,746,440 → 1,617,543,480 → 4,156,603,080 → 10,094,610,360 — keeps growing

Continued fraction of √n

√1,009,984 = [1004; (1, 48, 41, 1, 5, 1, 5, 6, 1, 54, 1, 34, 3, 1, 1, 3, 4, 2, 1, 2, 6, 4, 6, 24, …)]

Representations

In words: one million nine thousand nine hundred eighty-four
Ordinal: 1009984th
Binary: 11110110100101000000
Octal: 3664500
Hexadecimal: 0xF6940
Base64: D2lA
One's complement: 4,293,957,311 (32-bit)
Scientific notation: 1.009984 × 10⁶
As a duration: 1,009,984 s = 11 days, 16 hours, 33 minutes, 4 seconds

In other bases

ternary (3) 1220022102211

quaternary (4) 3312211000

quinary (5) 224304414

senary (6) 33351504

septenary (7) 11404363

nonary (9) 1808384

undecimal (11) 62a8a8

duodecimal (12) 408594

tridecimal (13) 294931

tetradecimal (14) 1c40da

pentadecimal (15) 14e3c4

As an angle

1,009,984° = 2,805 × 360° + 184°

184° ≈ 3.211 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬九千九百八十四
Chinese (financial): 壹佰萬玖仟玖佰捌拾肆

In other modern scripts

Eastern Arabic ١٠٠٩٩٨٤ Devanagari १००९९८४ Bengali ১০০৯৯৮৪ Tamil ௧௦௦௯௯௮௪ Thai ๑๐๐๙๙๘๔ Tibetan ༡༠༠༩༩༨༤ Khmer ១០០៩៩៨៤ Lao ໑໐໐໙໙໘໔ Burmese ၁၀၀၉၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009984, here are decompositions:

47 + 1009937 = 1009984
83 + 1009901 = 1009984
197 + 1009787 = 1009984
257 + 1009727 = 1009984
347 + 1009637 = 1009984
383 + 1009601 = 1009984
641 + 1009343 = 1009984
683 + 1009301 = 1009984

Showing the first eight; more decompositions exist.

Hex color

#0F6940

RGB(15, 105, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.64.

Address: 0.15.105.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.105.64

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 1,009,984 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 US1,009,984 on Google Patents ↗ Look up on USPTO ↗