Live analysis

1,001,980

1,001,980 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.).

1,001,980 (one million one thousand nine hundred eighty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 17 × 421. Its proper divisors sum to 1,550,276, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF49FC.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,968 1,001,969 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 891,001
Flips to (rotate 180°): 861,001
Square (n²): 1,003,963,920,400
Cube (n³): 1,005,951,768,962,392,000
Divisor count: 48
σ(n) — sum of divisors: 2,552,256
φ(n) — Euler's totient: 322,560
Sum of prime factors: 454

Primality

Prime factorization: 2 ² × 5 × 7 × 17 × 421

Nearest primes: 1,001,977 (−3) · 1,001,981 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 17 · 20 · 28 · 34 · 35 · 68 · 70 · 85 · 119 · 140 · 170 · 238 · 340 · 421 · 476 · 595 · 842 · 1190 · 1684 · 2105 · 2380 · 2947 · 4210 · 5894 · 7157 · 8420 · 11788 · 14314 · 14735 · 28628 · 29470 · 35785 · 50099 · 58940 · 71570 · 100198 · 143140 · 200396 · 250495 · 500990 (half) · 1001980

Aliquot sum (sum of proper divisors): 1,550,276

Factor pairs (a × b = 1,001,980)

1 × 1001980

2 × 500990

4 × 250495

5 × 200396

7 × 143140

10 × 100198

14 × 71570

17 × 58940

20 × 50099

28 × 35785

34 × 29470

35 × 28628

68 × 14735

70 × 14314

85 × 11788

119 × 8420

140 × 7157

170 × 5894

238 × 4210

340 × 2947

421 × 2380

476 × 2105

595 × 1684

842 × 1190

First multiples

1,001,980 · 2,003,960 (double) · 3,005,940 · 4,007,920 · 5,009,900 · 6,011,880 · 7,013,860 · 8,015,840 · 9,017,820 · 10,019,800

Sums & aliquot sequence

As consecutive integers: 200,394 + 200,395 + 200,396 + 200,397 + 200,398 143,137 + 143,138 + … + 143,143 125,244 + 125,245 + … + 125,251 58,932 + 58,933 + … + 58,948

Aliquot sequence: 1,001,980 → 1,550,276 → 1,789,564 → 1,789,620 → 3,938,508 → 7,440,132 → 13,268,220 → 29,957,844 → 51,137,324 → 56,275,156 → 56,275,212 → 93,792,244 → 108,222,604 → 108,222,660 → 295,869,756 → 573,705,412 → 573,705,468 — unresolved within range

Continued fraction of √n

√1,001,980 = [1000; (1, 94, 3, 222, 9, 10, 2, 12, 1, 23, 1, 3, 1, 3, 5, 16, 2, 1, 4, 2, 1, 1, 7, 3, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: one million one thousand nine hundred eighty
Ordinal: 1001980th
Binary: 11110100100111111100
Octal: 3644774
Hexadecimal: 0xF49FC
Base64: D0n8
One's complement: 4,293,965,315 (32-bit)
Scientific notation: 1.00198 × 10⁶
As a duration: 1,001,980 s = 11 days, 14 hours, 19 minutes, 40 seconds

In other bases

ternary (3) 1212220110101

quaternary (4) 3310213330

quinary (5) 224030410

senary (6) 33250444

septenary (7) 11342140

nonary (9) 1786411

undecimal (11) 624891

duodecimal (12) 403a24

tridecimal (13) 2910b5

tetradecimal (14) 1c1220

pentadecimal (15) 14bd3a

As an angle

1,001,980° = 2,783 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

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

In other modern scripts

Eastern Arabic ١٠٠١٩٨٠ Devanagari १००१९८० Bengali ১০০১৯৮০ Tamil ௧௦௦௧௯௮௦ Thai ๑๐๐๑๙๘๐ Tibetan ༡༠༠༡༩༨༠ Khmer ១០០១៩៨០ Lao ໑໐໐໑໙໘໐ Burmese ၁၀၀၁၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001980, here are decompositions:

3 + 1001977 = 1001980
47 + 1001933 = 1001980
149 + 1001831 = 1001980
173 + 1001807 = 1001980
179 + 1001801 = 1001980
197 + 1001783 = 1001980
257 + 1001723 = 1001980
293 + 1001687 = 1001980

Showing the first eight; more decompositions exist.

Hex color

#0F49FC

RGB(15, 73, 252)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.252.

Address: 0.15.73.252
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.73.252

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 1,001,980 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 US1,001,980 on Google Patents ↗ Look up on USPTO ↗