Live analysis

1,001,982

1,001,982 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.).

1,001,982 (one million one thousand nine hundred eighty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 31 × 5,387. Its proper divisors sum to 1,067,010, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF49FE.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,970 1,001,971 1,001,972 1,001,973 1,001,974 1,001,975 1,001,976 1,001,977 1,001,978 1,001,979 1,001,980 1,001,981 1,001,982 1,001,983 1,001,984 1,001,985 1,001,986 1,001,987 1,001,988 1,001,989 1,001,990 1,001,991 1,001,992 1,001,993 1,001,994

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,891,001
Square (n²): 1,003,967,928,324
Cube (n³): 1,005,957,792,757,938,168
Divisor count: 16
σ(n) — sum of divisors: 2,068,992
φ(n) — Euler's totient: 323,160
Sum of prime factors: 5,423

Primality

Prime factorization: 2 × 3 × 31 × 5387

Nearest primes: 1,001,981 (−1) · 1,001,983 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 31 · 62 · 93 · 186 · 5387 · 10774 · 16161 · 32322 · 166997 · 333994 · 500991 (half) · 1001982

Aliquot sum (sum of proper divisors): 1,067,010

Factor pairs (a × b = 1,001,982)

1 × 1001982

2 × 500991

3 × 333994

6 × 166997

31 × 32322

62 × 16161

93 × 10774

186 × 5387

First multiples

1,001,982 · 2,003,964 (double) · 3,005,946 · 4,007,928 · 5,009,910 · 6,011,892 · 7,013,874 · 8,015,856 · 9,017,838 · 10,019,820

Sums & aliquot sequence

As consecutive integers: 333,993 + 333,994 + 333,995 250,494 + 250,495 + 250,496 + 250,497 83,493 + 83,494 + … + 83,504 32,307 + 32,308 + … + 32,337

Aliquot sequence: 1,001,982 → 1,067,010 → 1,860,222 → 2,720,130 → 4,741,374 → 6,231,426 → 6,747,582 → 6,747,594 → 9,258,006 → 10,349,034 → 12,391,446 → 12,391,458 → 14,070,942 → 17,197,938 → 20,064,300 → 39,265,236 → 63,382,694 — unresolved within range

Continued fraction of √n

√1,001,982 = [1000; (1, 104, 2, 1, 2, 1, 1, 4, 1, 29, 16, 1, 3, 1, 3, 7, 2, 1, 1, 1, 4, 1, 9, 2, …)]

Representations

In words: one million one thousand nine hundred eighty-two
Ordinal: 1001982nd
Binary: 11110100100111111110
Octal: 3644776
Hexadecimal: 0xF49FE
Base64: D0n+
One's complement: 4,293,965,313 (32-bit)
Scientific notation: 1.001982 × 10⁶
As a duration: 1,001,982 s = 11 days, 14 hours, 19 minutes, 42 seconds

In other bases

ternary (3) 1212220110110

quaternary (4) 3310213332

quinary (5) 224030412

senary (6) 33250450

septenary (7) 11342142

nonary (9) 1786413

undecimal (11) 624893

duodecimal (12) 403a26

tridecimal (13) 2910b7

tetradecimal (14) 1c1222

pentadecimal (15) 14bd3c

As an angle

1,001,982° = 2,783 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬一千九百八十二
Chinese (financial): 壹佰萬壹仟玖佰捌拾貳

In other modern scripts

Eastern Arabic ١٠٠١٩٨٢ Devanagari १००१९८२ Bengali ১০০১৯৮২ Tamil ௧௦௦௧௯௮௨ Thai ๑๐๐๑๙๘๒ Tibetan ༡༠༠༡༩༨༢ Khmer ១០០១៩៨២ Lao ໑໐໐໑໙໘໒ Burmese ၁၀၀၁၉၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001982, here are decompositions:

5 + 1001977 = 1001982
29 + 1001953 = 1001982
41 + 1001941 = 1001982
71 + 1001911 = 1001982
151 + 1001831 = 1001982
173 + 1001809 = 1001982
181 + 1001801 = 1001982
199 + 1001783 = 1001982

Showing the first eight; more decompositions exist.

Hex color

#0F49FE

RGB(15, 73, 254)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.254.

Address: 0.15.73.254
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.73.254

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

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 1,001,982 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 US1,001,982 on Google Patents ↗ Look up on USPTO ↗