Live analysis

1,013,988

1,013,988 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.).

1,013,988 (one million thirteen thousand nine hundred eighty-eight) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 84,499. Its proper divisors sum to 1,352,012, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF78E4.

Abundant Number Cube-Free Evil Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

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 1,013,997 1,013,998 1,013,999 1,014,000

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 30
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,893,101
Square (n²): 1,028,171,664,144
Cube (n³): 1,042,553,729,382,046,272
Divisor count: 12
σ(n) — sum of divisors: 2,366,000
φ(n) — Euler's totient: 337,992
Sum of prime factors: 84,506

Primality

Prime factorization: 2 ² × 3 × 84499

Nearest primes: 1,013,933 (−55) · 1,013,993 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 84499 · 168998 · 253497 · 337996 · 506994 (half) · 1013988

Aliquot sum (sum of proper divisors): 1,352,012

Factor pairs (a × b = 1,013,988)

1 × 1013988

2 × 506994

3 × 337996

4 × 253497

6 × 168998

12 × 84499

First multiples

1,013,988 · 2,027,976 (double) · 3,041,964 · 4,055,952 · 5,069,940 · 6,083,928 · 7,097,916 · 8,111,904 · 9,125,892 · 10,139,880

Sums & aliquot sequence

As consecutive integers: 337,995 + 337,996 + 337,997 126,745 + 126,746 + … + 126,752 42,238 + 42,239 + … + 42,261

Aliquot sequence: 1,013,988 → 1,352,012 → 1,026,028 → 780,812 → 585,616 → 616,316 → 462,244 → 346,690 → 294,902 → 147,454 → 73,730 → 62,134 → 33,194 → 23,734 → 11,870 → 9,514 → 5,174 — unresolved within range

Continued fraction of √n

√1,013,988 = [1006; (1, 32, 62, 1, 9, 1, 1, 3, 1, 1, 1, 30, 1, 4, 1, 4, 17, 1, 14, 1, 3, 1, 2, 1, …)]

Representations

In words: one million thirteen thousand nine hundred eighty-eight
Ordinal: 1013988th
Binary: 11110111100011100100
Octal: 3674344
Hexadecimal: 0xF78E4
Base64: D3jk
One's complement: 4,293,953,307 (32-bit)
Scientific notation: 1.013988 × 10⁶
As a duration: 1,013,988 s = 11 days, 17 hours, 39 minutes, 48 seconds

In other bases

ternary (3) 1220111221010

quaternary (4) 3313203210

quinary (5) 224421423

senary (6) 33422220

septenary (7) 11422143

nonary (9) 1814833

undecimal (11) 632908

duodecimal (12) 40a970

tridecimal (13) 2966c1

tetradecimal (14) 1c575a

pentadecimal (15) 150693

As an angle

1,013,988° = 2,816 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千九百八十八
Chinese (financial): 壹佰零壹萬參仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ١٠١٣٩٨٨ Devanagari १०१३९८८ Bengali ১০১৩৯৮৮ Tamil ௧௦௧௩௯௮௮ Thai ๑๐๑๓๙๘๘ Tibetan ༡༠༡༣༩༨༨ Khmer ១០១៣៩៨៨ Lao ໑໐໑໓໙໘໘ Burmese ၁၀၁၃၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013988, here are decompositions:

67 + 1013921 = 1013988
89 + 1013899 = 1013988
97 + 1013891 = 1013988
109 + 1013879 = 1013988
137 + 1013851 = 1013988
149 + 1013839 = 1013988
197 + 1013791 = 1013988
271 + 1013717 = 1013988

Showing the first eight; more decompositions exist.

Hex color

#0F78E4

RGB(15, 120, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.228.

Address: 0.15.120.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.228

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3988 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3988-10-01 (MMDYYYY (US, single-digit day))
3988-01-10 (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 1,013,988 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 US1,013,988 on Google Patents ↗ Look up on USPTO ↗