Live analysis

1,003,980

1,003,980 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.).

1,003,980 (one million three thousand nine hundred eighty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 29 × 577. Its proper divisors sum to 1,909,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF51CC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,003,968 1,003,969 1,003,970 1,003,971 1,003,972 1,003,973 1,003,974 1,003,975 1,003,976 1,003,977 1,003,978 1,003,979 1,003,980 1,003,981 1,003,982 1,003,983 1,003,984 1,003,985 1,003,986 1,003,987 1,003,988 1,003,989 1,003,990 1,003,991 1,003,992

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 893,001
Square (n²): 1,007,975,840,400
Cube (n³): 1,011,987,584,244,792,000
Divisor count: 48
σ(n) — sum of divisors: 2,913,120
φ(n) — Euler's totient: 258,048
Sum of prime factors: 618

Primality

Prime factorization: 2 ² × 3 × 5 × 29 × 577

Nearest primes: 1,003,963 (−17) · 1,004,027 (+47)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 29 · 30 · 58 · 60 · 87 · 116 · 145 · 174 · 290 · 348 · 435 · 577 · 580 · 870 · 1154 · 1731 · 1740 · 2308 · 2885 · 3462 · 5770 · 6924 · 8655 · 11540 · 16733 · 17310 · 33466 · 34620 · 50199 · 66932 · 83665 · 100398 · 167330 · 200796 · 250995 · 334660 · 501990 (half) · 1003980

Aliquot sum (sum of proper divisors): 1,909,140

Factor pairs (a × b = 1,003,980)

1 × 1003980

2 × 501990

3 × 334660

4 × 250995

5 × 200796

6 × 167330

10 × 100398

12 × 83665

15 × 66932

20 × 50199

29 × 34620

30 × 33466

58 × 17310

60 × 16733

87 × 11540

116 × 8655

145 × 6924

174 × 5770

290 × 3462

348 × 2885

435 × 2308

577 × 1740

580 × 1731

870 × 1154

First multiples

1,003,980 · 2,007,960 (double) · 3,011,940 · 4,015,920 · 5,019,900 · 6,023,880 · 7,027,860 · 8,031,840 · 9,035,820 · 10,039,800

Sums & aliquot sequence

As consecutive integers: 334,659 + 334,660 + 334,661 200,794 + 200,795 + 200,796 + 200,797 + 200,798 125,494 + 125,495 + … + 125,501 66,925 + 66,926 + … + 66,939

Aliquot sequence: 1,003,980 → 1,909,140 → 3,558,252 → 4,882,180 → 5,370,440 → 7,485,880 → 9,903,560 → 13,986,040 → 17,610,440 → 22,013,140 → 24,305,972 → 18,229,486 → 11,734,034 → 7,220,986 → 3,841,094 → 1,938,106 → 984,698 — unresolved within range

Continued fraction of √n

√1,003,980 = [1001; (1, 82, 2, 500, 2, 82, 1, 2002)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million three thousand nine hundred eighty
Ordinal: 1003980th
Binary: 11110101000111001100
Octal: 3650714
Hexadecimal: 0xF51CC
Base64: D1HM
One's complement: 4,293,963,315 (32-bit)
Scientific notation: 1.00398 × 10⁶
As a duration: 1,003,980 s = 11 days, 14 hours, 53 minutes

In other bases

ternary (3) 1220000012110

quaternary (4) 3311013030

quinary (5) 224111410

senary (6) 33304020

septenary (7) 11351025

nonary (9) 1800173

undecimal (11) 62633a

duodecimal (12) 405010

tridecimal (13) 291c93

tetradecimal (14) 1c1c4c

pentadecimal (15) 14c720

As an angle

1,003,980° = 2,788 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬三千九百八十
Chinese (financial): 壹佰萬參仟玖佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٣٩٨٠ Devanagari १००३९८० Bengali ১০০৩৯৮০ Tamil ௧௦௦௩௯௮௦ Thai ๑๐๐๓๙๘๐ Tibetan ༡༠༠༣༩༨༠ Khmer ១០០៣៩៨០ Lao ໑໐໐໓໙໘໐ Burmese ၁၀၀၃၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003980, here are decompositions:

17 + 1003963 = 1003980
23 + 1003957 = 1003980
37 + 1003943 = 1003980
67 + 1003913 = 1003980
71 + 1003909 = 1003980
73 + 1003907 = 1003980
83 + 1003897 = 1003980
101 + 1003879 = 1003980

Showing the first eight; more decompositions exist.

Hex color

#0F51CC

RGB(15, 81, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.204.

Address: 0.15.81.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.204

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 1,003,980 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 US1,003,980 on Google Patents ↗ Look up on USPTO ↗