Live analysis

1,010,984

1,010,984 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.).

1,010,984 (one million ten thousand nine hundred eighty-four) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 9,721. Its proper divisors sum to 1,030,636, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6D28.

Abundant Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,010,972 1,010,973 1,010,974 1,010,975 1,010,976 1,010,977 1,010,978 1,010,979 1,010,980 1,010,981 1,010,982 1,010,983 1,010,984 1,010,985 1,010,986 1,010,987 1,010,988 1,010,989 1,010,990 1,010,991 1,010,992 1,010,993 1,010,994 1,010,995 1,010,996

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 4,890,101
Recamán's sequence: a(360,167) = 1,010,984
Square (n²): 1,022,088,648,256
Cube (n³): 1,033,315,269,968,443,904
Divisor count: 16
σ(n) — sum of divisors: 2,041,620
φ(n) — Euler's totient: 466,560
Sum of prime factors: 9,740

Primality

Prime factorization: 2 ³ × 13 × 9721

Nearest primes: 1,010,983 (−1) · 1,010,993 (+9)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 9721 · 19442 · 38884 · 77768 · 126373 · 252746 · 505492 (half) · 1010984

Aliquot sum (sum of proper divisors): 1,030,636

Factor pairs (a × b = 1,010,984)

1 × 1010984

2 × 505492

4 × 252746

8 × 126373

13 × 77768

26 × 38884

52 × 19442

104 × 9721

First multiples

1,010,984 · 2,021,968 (double) · 3,032,952 · 4,043,936 · 5,054,920 · 6,065,904 · 7,076,888 · 8,087,872 · 9,098,856 · 10,109,840

Sums & aliquot sequence

As a sum of two squares: 490² + 878² = 622² + 790²

As consecutive integers: 77,762 + 77,763 + … + 77,774 63,179 + 63,180 + … + 63,194 4,757 + 4,758 + … + 4,964

Aliquot sequence: 1,010,984 → 1,030,636 → 904,724 → 721,600 → 1,262,648 → 1,104,832 → 1,131,384 → 1,979,016 → 3,349,944 → 6,679,656 → 11,593,404 → 17,712,236 → 13,284,184 → 12,297,416 → 10,760,254 → 5,663,954 → 2,951,854 — unresolved within range

Continued fraction of √n

√1,010,984 = [1005; (2, 10, 2, 1, 2, 2, 1, 5, 2, 2, 4, 5, 1, 2, 1, 5, 1, 2, 5, 1, 1, 1, 6, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand nine hundred eighty-four
Ordinal: 1010984th
Binary: 11110110110100101000
Octal: 3666450
Hexadecimal: 0xF6D28
Base64: D20o
One's complement: 4,293,956,311 (32-bit)
Scientific notation: 1.010984 × 10⁶
As a duration: 1,010,984 s = 11 days, 16 hours, 49 minutes, 44 seconds

In other bases

ternary (3) 1220100210212

quaternary (4) 3312310220

quinary (5) 224322414

senary (6) 33400252

septenary (7) 11410322

nonary (9) 1810725

undecimal (11) 630627

duodecimal (12) 409088

tridecimal (13) 295220

tetradecimal (14) 1c4612

pentadecimal (15) 14e83e

As an angle

1,010,984° = 2,808 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬零九百八十四
Chinese (financial): 壹佰零壹萬零玖佰捌拾肆

In other modern scripts

Eastern Arabic ١٠١٠٩٨٤ Devanagari १०१०९८४ Bengali ১০১০৯৮৪ Tamil ௧௦௧௦௯௮௪ Thai ๑๐๑๐๙๘๔ Tibetan ༡༠༡༠༩༨༤ Khmer ១០១០៩៨៤ Lao ໑໐໑໐໙໘໔ Burmese ၁၀၁၀၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010984, here are decompositions:

3 + 1010981 = 1010984
67 + 1010917 = 1010984
103 + 1010881 = 1010984
151 + 1010833 = 1010984
193 + 1010791 = 1010984
313 + 1010671 = 1010984
367 + 1010617 = 1010984
523 + 1010461 = 1010984

Showing the first eight; more decompositions exist.

Hex color

#0F6D28

RGB(15, 109, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.40.

Address: 0.15.109.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.109.40

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 0984 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0984-10-01 (MMDYYYY (US, single-digit day))
0984-01-10 (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 1,010,984 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 US1,010,984 on Google Patents ↗ Look up on USPTO ↗