Live analysis

1,049,984

1,049,984 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.).

1,049,984 (one million forty-nine thousand nine hundred eighty-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 13 × 631. Its proper divisors sum to 1,206,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100580.

Abundant Number Evil Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,049,972 1,049,973 1,049,974 1,049,975 1,049,976 1,049,977 1,049,978 1,049,979 1,049,980 1,049,981 1,049,982 1,049,983 1,049,984 1,049,985 1,049,986 1,049,987 1,049,988 1,049,989 1,049,990 1,049,991 1,049,992 1,049,993 1,049,994 1,049,995 1,049,996

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 35
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 21 bits
Reversed: 4,899,401
Square (n²): 1,102,466,400,256
Cube (n³): 1,157,572,080,806,395,904
Divisor count: 32
σ(n) — sum of divisors: 2,256,240
φ(n) — Euler's totient: 483,840
Sum of prime factors: 658

Primality

Prime factorization: 2 ⁷ × 13 × 631

Nearest primes: 1,049,977 (−7) · 1,049,999 (+15)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 64 · 104 · 128 · 208 · 416 · 631 · 832 · 1262 · 1664 · 2524 · 5048 · 8203 · 10096 · 16406 · 20192 · 32812 · 40384 · 65624 · 80768 · 131248 · 262496 · 524992 (half) · 1049984

Aliquot sum (sum of proper divisors): 1,206,256

Factor pairs (a × b = 1,049,984)

1 × 1049984

2 × 524992

4 × 262496

8 × 131248

13 × 80768

16 × 65624

26 × 40384

32 × 32812

52 × 20192

64 × 16406

104 × 10096

128 × 8203

208 × 5048

416 × 2524

631 × 1664

832 × 1262

First multiples

1,049,984 · 2,099,968 (double) · 3,149,952 · 4,199,936 · 5,249,920 · 6,299,904 · 7,349,888 · 8,399,872 · 9,449,856 · 10,499,840

Sums & aliquot sequence

As a sum of two cubes: 27³ + 101³

As consecutive integers: 80,762 + 80,763 + … + 80,774 3,974 + 3,975 + … + 4,229 1,349 + 1,350 + … + 1,979

Aliquot sequence: 1,049,984 → 1,206,256 → 1,130,896 → 1,229,196 → 1,638,956 → 1,506,256 → 1,475,696 → 1,407,304 → 1,293,416 → 1,156,024 → 1,038,896 → 1,044,304 → 979,066 → 638,342 → 360,874 → 180,440 → 258,040 — unresolved within range

Continued fraction of √n

√1,049,984 = [1024; (1, 2, 5, 16, 1, 2, 1, 119, 1, 4, 7, 1, 1, 2, 4, 1, 1, 2, 1, 1, 1, 6, 2, 5, …)]

Representations

In words: one million forty-nine thousand nine hundred eighty-four
Ordinal: 1049984th
Binary: 100000000010110000000
Octal: 4002600
Hexadecimal: 0x100580
Base64: EAWA
One's complement: 4,293,917,311 (32-bit)
Scientific notation: 1.049984 × 10⁶
As a duration: 1,049,984 s = 12 days, 3 hours, 39 minutes, 44 seconds

In other bases

ternary (3) 1222100022022

quaternary (4) 10000112000

quinary (5) 232044414

senary (6) 34301012

septenary (7) 11632115

nonary (9) 1870268

undecimal (11) 657961

duodecimal (12) 427768

tridecimal (13) 2a9bc0

tetradecimal (14) 1d490c

pentadecimal (15) 15b18e

As an angle

1,049,984° = 2,916 × 360° + 224°

224° ≈ 3.91 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零四萬九千九百八十四
Chinese (financial): 壹佰零肆萬玖仟玖佰捌拾肆

In other modern scripts

Eastern Arabic ١٠٤٩٩٨٤ Devanagari १०४९९८४ Bengali ১০৪৯৯৮৪ Tamil ௧௦௪௯௯௮௪ Thai ๑๐๔๙๙๘๔ Tibetan ༡༠༤༩༩༨༤ Khmer ១០៤៩៩៨៤ Lao ໑໐໔໙໙໘໔ Burmese ၁၀၄၉၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1049984, here are decompositions:

7 + 1049977 = 1049984
31 + 1049953 = 1049984
43 + 1049941 = 1049984
127 + 1049857 = 1049984
151 + 1049833 = 1049984
157 + 1049827 = 1049984
163 + 1049821 = 1049984
193 + 1049791 = 1049984

Showing the first eight; more decompositions exist.

Hex color

#100580

RGB(16, 5, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.5.128.

Address: 0.16.5.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.5.128

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 9984 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

9984-04-01 (DMMYYYY (Euro, single-digit day))
9984-10-04 (MMDYYYY (US, single-digit day))
9984-04-10 (DDMYYYY (Euro, single-digit month))

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 1,049,984 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,049,984 on Google Patents ↗ Look up on USPTO ↗