Live analysis

1,013,982

1,013,982 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.).

1,013,982 (one million thirteen thousand nine hundred eighty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 17 × 9,941. Its proper divisors sum to 1,133,490, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF78DE.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,970 1,013,971 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,893,101
Square (n²): 1,028,159,496,324
Cube (n³): 1,042,535,222,401,602,168
Divisor count: 16
σ(n) — sum of divisors: 2,147,472
φ(n) — Euler's totient: 318,080
Sum of prime factors: 9,963

Primality

Prime factorization: 2 × 3 × 17 × 9941

Nearest primes: 1,013,933 (−49) · 1,013,993 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 17 · 34 · 51 · 102 · 9941 · 19882 · 29823 · 59646 · 168997 · 337994 · 506991 (half) · 1013982

Aliquot sum (sum of proper divisors): 1,133,490

Factor pairs (a × b = 1,013,982)

1 × 1013982

2 × 506991

3 × 337994

6 × 168997

17 × 59646

34 × 29823

51 × 19882

102 × 9941

First multiples

1,013,982 · 2,027,964 (double) · 3,041,946 · 4,055,928 · 5,069,910 · 6,083,892 · 7,097,874 · 8,111,856 · 9,125,838 · 10,139,820

Sums & aliquot sequence

As consecutive integers: 337,993 + 337,994 + 337,995 253,494 + 253,495 + 253,496 + 253,497 84,493 + 84,494 + … + 84,504 59,638 + 59,639 + … + 59,654

Aliquot sequence: 1,013,982 → 1,133,490 → 1,586,958 → 1,661,298 → 1,661,310 → 3,461,346 → 5,330,334 → 5,330,346 → 6,853,398 → 6,853,410 → 11,576,826 → 14,316,678 → 18,115,722 → 21,308,598 → 24,860,070 → 40,072,122 → 46,750,848 — unresolved within range

Continued fraction of √n

√1,013,982 = [1006; (1, 29, 16, 1, 8, 7, 1, 1, 1, 40, 2, 4, 2, 1, 47, 3, 1, 4, 1, 6, 1, 18, 1, 6, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand nine hundred eighty-two
Ordinal: 1013982nd
Binary: 11110111100011011110
Octal: 3674336
Hexadecimal: 0xF78DE
Base64: D3je
One's complement: 4,293,953,313 (32-bit)
Scientific notation: 1.013982 × 10⁶
As a duration: 1,013,982 s = 11 days, 17 hours, 39 minutes, 42 seconds

In other bases

ternary (3) 1220111220220

quaternary (4) 3313203132

quinary (5) 224421412

senary (6) 33422210

septenary (7) 11422134

nonary (9) 1814826

undecimal (11) 632902

duodecimal (12) 40a966

tridecimal (13) 2966b8

tetradecimal (14) 1c5754

pentadecimal (15) 15068c

As an angle

1,013,982° = 2,816 × 360° + 222°

222° ≈ 3.875 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬三千九百八十二
Chinese (financial): 壹佰零壹萬參仟玖佰捌拾貳

In other modern scripts

Eastern Arabic ١٠١٣٩٨٢ Devanagari १०१३९८२ Bengali ১০১৩৯৮২ Tamil ௧௦௧௩௯௮௨ Thai ๑๐๑๓๙๘๒ Tibetan ༡༠༡༣༩༨༢ Khmer ១០១៣៩៨២ Lao ໑໐໑໓໙໘໒ Burmese ၁၀၁၃၉၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013982, here are decompositions:

59 + 1013923 = 1013982
61 + 1013921 = 1013982
83 + 1013899 = 1013982
89 + 1013893 = 1013982
103 + 1013879 = 1013982
131 + 1013851 = 1013982
139 + 1013843 = 1013982
149 + 1013833 = 1013982

Showing the first eight; more decompositions exist.

Hex color

#0F78DE

RGB(15, 120, 222)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.222.

Address: 0.15.120.222
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.222

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3982 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3982-10-01 (MMDYYYY (US, single-digit day))
3982-01-10 (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 1,013,982 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 US1,013,982 on Google Patents ↗ Look up on USPTO ↗