Live analysis

1,013,984

1,013,984 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.).

1,013,984 (one million thirteen thousand nine hundred eighty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 31,687. Written other ways, in hexadecimal, 0xF78E0.

Arithmetic Number Deficient Number Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,013,972 1,013,973 1,013,974 1,013,975 1,013,976 1,013,977 1,013,978 1,013,979 1,013,980 1,013,981 1,013,982 1,013,983 1,013,984 1,013,985 1,013,986 1,013,987 1,013,988 1,013,989 1,013,990 1,013,991 1,013,992 1,013,993 1,013,994 1,013,995 1,013,996

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Properties

Parity: Even
Digit count: 7
Digit sum: 26
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 4,893,101
Square (n²): 1,028,163,552,256
Cube (n³): 1,042,541,391,370,747,904
Divisor count: 12
σ(n) — sum of divisors: 1,996,344
φ(n) — Euler's totient: 506,976
Sum of prime factors: 31,697

Primality

Prime factorization: 2 ⁵ × 31687

Nearest primes: 1,013,933 (−51) · 1,013,993 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 8 · 16 · 32 · 31687 · 63374 · 126748 · 253496 · 506992 (half) · 1013984

Aliquot sum (sum of proper divisors): 982,360

Factor pairs (a × b = 1,013,984)

1 × 1013984

2 × 506992

4 × 253496

8 × 126748

16 × 63374

32 × 31687

First multiples

1,013,984 · 2,027,968 (double) · 3,041,952 · 4,055,936 · 5,069,920 · 6,083,904 · 7,097,888 · 8,111,872 · 9,125,856 · 10,139,840

Sums & aliquot sequence

As consecutive integers: 15,812 + 15,813 + … + 15,875

Aliquot sequence: 1,013,984 → 982,360 → 1,285,640 → 1,607,140 → 1,803,932 → 1,637,044 → 1,227,790 → 1,020,770 → 816,634 → 720,314 → 568,774 → 284,390 → 227,530 → 189,854 → 141,922 → 90,350 → 91,930 — unresolved within range

Continued fraction of √n

√1,013,984 = [1006; (1, 29, 1, 61, 1, 29, 1, 2012)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand nine hundred eighty-four
Ordinal: 1013984th
Binary: 11110111100011100000
Octal: 3674340
Hexadecimal: 0xF78E0
Base64: D3jg
One's complement: 4,293,953,311 (32-bit)
Scientific notation: 1.013984 × 10⁶
As a duration: 1,013,984 s = 11 days, 17 hours, 39 minutes, 44 seconds

In other bases

ternary (3) 1220111220222

quaternary (4) 3313203200

quinary (5) 224421414

senary (6) 33422212

septenary (7) 11422136

nonary (9) 1814828

undecimal (11) 632904

duodecimal (12) 40a968

tridecimal (13) 2966ba

tetradecimal (14) 1c5756

pentadecimal (15) 15068e

As an angle

1,013,984° = 2,816 × 360° + 224°

224° ≈ 3.91 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千九百八十四
Chinese (financial): 壹佰零壹萬參仟玖佰捌拾肆

In other modern scripts

Eastern Arabic ١٠١٣٩٨٤ Devanagari १०१३९८४ Bengali ১০১৩৯৮৪ Tamil ௧௦௧௩௯௮௪ Thai ๑๐๑๓๙๘๔ Tibetan ༡༠༡༣༩༨༤ Khmer ១០១៣៩៨៤ Lao ໑໐໑໓໙໘໔ Burmese ၁၀၁၃၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013984, here are decompositions:

61 + 1013923 = 1013984
151 + 1013833 = 1013984
157 + 1013827 = 1013984
193 + 1013791 = 1013984
211 + 1013773 = 1013984
271 + 1013713 = 1013984
313 + 1013671 = 1013984
421 + 1013563 = 1013984

Showing the first eight; more decompositions exist.

Hex color

#0F78E0

RGB(15, 120, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.224.

Address: 0.15.120.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.224

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3984 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3984-10-01 (MMDYYYY (US, single-digit day))
3984-01-10 (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 1,013,984 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 US1,013,984 on Google Patents ↗ Look up on USPTO ↗