Live analysis

1,001,988

1,001,988 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.).

1,001,988 (one million one thousand nine hundred eighty-eight) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 13 × 2,141. Its proper divisors sum to 1,726,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A04.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Gapful Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 1,001,995 1,001,996 1,001,997 1,001,998 1,001,999 1,002,000

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,891,001
Flips to (rotate 180°): 8,861,001
Square (n²): 1,003,979,952,144
Cube (n³): 1,005,975,864,288,862,272
Divisor count: 36
σ(n) — sum of divisors: 2,728,908
φ(n) — Euler's totient: 308,160
Sum of prime factors: 2,164

Primality

Prime factorization: 2 ² × 3 ² × 13 × 2141

Nearest primes: 1,001,983 (−5) · 1,001,989 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 36 · 39 · 52 · 78 · 117 · 156 · 234 · 468 · 2141 · 4282 · 6423 · 8564 · 12846 · 19269 · 25692 · 27833 · 38538 · 55666 · 77076 · 83499 · 111332 · 166998 · 250497 · 333996 · 500994 (half) · 1001988

Aliquot sum (sum of proper divisors): 1,726,920

Factor pairs (a × b = 1,001,988)

1 × 1001988

2 × 500994

3 × 333996

4 × 250497

6 × 166998

9 × 111332

12 × 83499

13 × 77076

18 × 55666

26 × 38538

36 × 27833

39 × 25692

52 × 19269

78 × 12846

117 × 8564

156 × 6423

234 × 4282

468 × 2141

First multiples

1,001,988 · 2,003,976 (double) · 3,005,964 · 4,007,952 · 5,009,940 · 6,011,928 · 7,013,916 · 8,015,904 · 9,017,892 · 10,019,880

Sums & aliquot sequence

As a sum of two squares: 462² + 888² = 642² + 768²

As consecutive integers: 333,995 + 333,996 + 333,997 125,245 + 125,246 + … + 125,252 111,328 + 111,329 + … + 111,336 77,070 + 77,071 + … + 77,082

Aliquot sequence: 1,001,988 → 1,726,920 → 4,676,400 → 12,006,560 → 16,359,316 → 12,269,494 → 6,769,466 → 4,403,782 → 3,001,058 → 1,500,532 → 1,412,588 → 1,059,448 → 1,127,912 → 986,938 → 533,594 → 266,800 → 425,120 — unresolved within range

Continued fraction of √n

√1,001,988 = [1000; (1, 152, 1, 2000)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million one thousand nine hundred eighty-eight
Ordinal: 1001988th
Binary: 11110100101000000100
Octal: 3645004
Hexadecimal: 0xF4A04
Base64: D0oE
One's complement: 4,293,965,307 (32-bit)
Scientific notation: 1.001988 × 10⁶
As a duration: 1,001,988 s = 11 days, 14 hours, 19 minutes, 48 seconds

In other bases

ternary (3) 1212220110200

quaternary (4) 3310220010

quinary (5) 224030423

senary (6) 33250500

septenary (7) 11342151

nonary (9) 1786420

undecimal (11) 624899

duodecimal (12) 403a30

tridecimal (13) 2910c0

tetradecimal (14) 1c1228

pentadecimal (15) 14bd43

As an angle

1,001,988° = 2,783 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千九百八十八
Chinese (financial): 壹佰萬壹仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ١٠٠١٩٨٨ Devanagari १००१९८८ Bengali ১০০১৯৮৮ Tamil ௧௦௦௧௯௮௮ Thai ๑๐๐๑๙๘๘ Tibetan ༡༠༠༡༩༨༨ Khmer ១០០១៩៨៨ Lao ໑໐໐໑໙໘໘ Burmese ၁၀၀၁၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001988, here are decompositions:

5 + 1001983 = 1001988
7 + 1001981 = 1001988
11 + 1001977 = 1001988
41 + 1001947 = 1001988
47 + 1001941 = 1001988
149 + 1001839 = 1001988
157 + 1001831 = 1001988
167 + 1001821 = 1001988

Showing the first eight; more decompositions exist.

Hex color

#0F4A04

RGB(15, 74, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.4.

Address: 0.15.74.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.4

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 1,001,988 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 US1,001,988 on Google Patents ↗ Look up on USPTO ↗