Live analysis

1,002,988

1,002,988 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.).

1,002,988 (one million two thousand nine hundred eighty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 113 × 317. Its proper divisors sum to 1,027,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4DEC.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,976 1,002,977 1,002,978 1,002,979 1,002,980 1,002,981 1,002,982 1,002,983 1,002,984 1,002,985 1,002,986 1,002,987 1,002,988 1,002,989 1,002,990 1,002,991 1,002,992 1,002,993 1,002,994 1,002,995 1,002,996 1,002,997 1,002,998 1,002,999 1,003,000

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 28
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 8,892,001
Square (n²): 1,005,984,928,144
Cube (n³): 1,008,990,811,109,294,272
Divisor count: 24
σ(n) — sum of divisors: 2,030,112
φ(n) — Euler's totient: 424,704
Sum of prime factors: 441

Primality

Prime factorization: 2 ² × 7 × 113 × 317

Nearest primes: 1,002,979 (−9) · 1,003,001 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 28 · 113 · 226 · 317 · 452 · 634 · 791 · 1268 · 1582 · 2219 · 3164 · 4438 · 8876 · 35821 · 71642 · 143284 · 250747 · 501494 (half) · 1002988

Aliquot sum (sum of proper divisors): 1,027,124

Factor pairs (a × b = 1,002,988)

1 × 1002988

2 × 501494

4 × 250747

7 × 143284

14 × 71642

28 × 35821

113 × 8876

226 × 4438

317 × 3164

452 × 2219

634 × 1582

791 × 1268

First multiples

1,002,988 · 2,005,976 (double) · 3,008,964 · 4,011,952 · 5,014,940 · 6,017,928 · 7,020,916 · 8,023,904 · 9,026,892 · 10,029,880

Sums & aliquot sequence

As consecutive integers: 143,281 + 143,282 + … + 143,287 125,370 + 125,371 + … + 125,377 17,883 + 17,884 + … + 17,938 8,820 + 8,821 + … + 8,932

Aliquot sequence: 1,002,988 → 1,027,124 → 1,027,180 → 1,875,860 → 2,626,540 → 3,788,372 → 4,188,268 → 4,276,916 → 4,430,062 → 3,863,762 → 2,939,758 → 1,469,882 → 734,944 → 1,025,024 → 1,726,144 → 2,189,520 → 5,166,036 — unresolved within range

Continued fraction of √n

√1,002,988 = [1001; (2, 34, 1, 1, 1, 3, 1, 1, 6, 1, 1, 13, 1, 2, 31, 2, 4, 1, 2, 1, 4, 3, 1, 1, …)]

Representations

In words: one million two thousand nine hundred eighty-eight
Ordinal: 1002988th
Binary: 11110100110111101100
Octal: 3646754
Hexadecimal: 0xF4DEC
Base64: D03s
One's complement: 4,293,964,307 (32-bit)
Scientific notation: 1.002988 × 10⁶
As a duration: 1,002,988 s = 11 days, 14 hours, 36 minutes, 28 seconds

In other bases

ternary (3) 1212221211201

quaternary (4) 3310313230

quinary (5) 224043423

senary (6) 33255244

septenary (7) 11345110

nonary (9) 1787751

undecimal (11) 625618

duodecimal (12) 404524

tridecimal (13) 2916ac

tetradecimal (14) 1c1740

pentadecimal (15) 14c2ad

As an angle

1,002,988° = 2,786 × 360° + 28°

28° ≈ 0.489 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千九百八十八
Chinese (financial): 壹佰萬貳仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ١٠٠٢٩٨٨ Devanagari १००२९८८ Bengali ১০০২৯৮৮ Tamil ௧௦௦௨௯௮௮ Thai ๑๐๐๒๙๘๘ Tibetan ༡༠༠༢༩༨༨ Khmer ១០០២៩៨៨ Lao ໑໐໐໒໙໘໘ Burmese ၁၀၀၂၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002988, here are decompositions:

59 + 1002929 = 1002988
71 + 1002917 = 1002988
89 + 1002899 = 1002988
101 + 1002887 = 1002988
131 + 1002857 = 1002988
137 + 1002851 = 1002988
167 + 1002821 = 1002988
179 + 1002809 = 1002988

Showing the first eight; more decompositions exist.

Hex color

#0F4DEC

RGB(15, 77, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.77.236.

Address: 0.15.77.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.77.236

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 1,002,988 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 US1,002,988 on Google Patents ↗ Look up on USPTO ↗