Live analysis

1,004,080

1,004,080 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.).

1,004,080 (one million four thousand eighty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 7 × 11 × 163. Its proper divisors sum to 1,924,304, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5230.

Abundant Number Gapful Number Odious Number Practical Number Refactorable Number Self Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,068 1,004,069 1,004,070 1,004,071 1,004,072 1,004,073 1,004,074 1,004,075 1,004,076 1,004,077 1,004,078 1,004,079 1,004,080 1,004,081 1,004,082 1,004,083 1,004,084 1,004,085 1,004,086 1,004,087 1,004,088 1,004,089 1,004,090 1,004,091 1,004,092

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 804,001
Square (n²): 1,008,176,646,400
Cube (n³): 1,012,290,007,117,312,000
Divisor count: 80
σ(n) — sum of divisors: 2,928,384
φ(n) — Euler's totient: 311,040
Sum of prime factors: 194

Primality

Prime factorization: 2 ⁴ × 5 × 7 × 11 × 163

Nearest primes: 1,004,077 (−3) · 1,004,089 (+9)

Divisors & multiples

All divisors (80)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 11 · 14 · 16 · 20 · 22 · 28 · 35 · 40 · 44 · 55 · 56 · 70 · 77 · 80 · 88 · 110 · 112 · 140 · 154 · 163 · 176 · 220 · 280 · 308 · 326 · 385 · 440 · 560 · 616 · 652 · 770 · 815 · 880 · 1141 · 1232 · 1304 · 1540 · 1630 · 1793 · 2282 · 2608 · 3080 · 3260 · 3586 · 4564 · 5705 · 6160 · 6520 · 7172 · 8965 · 9128 · 11410 · 12551 · 13040 · 14344 · 17930 · 18256 · 22820 · 25102 · 28688 · 35860 · 45640 · 50204 · 62755 · 71720 · 91280 · 100408 · 125510 · 143440 · 200816 · 251020 · 502040 (half) · 1004080

Aliquot sum (sum of proper divisors): 1,924,304

Factor pairs (a × b = 1,004,080)

1 × 1004080

2 × 502040

4 × 251020

5 × 200816

7 × 143440

8 × 125510

10 × 100408

11 × 91280

14 × 71720

16 × 62755

20 × 50204

22 × 45640

28 × 35860

35 × 28688

40 × 25102

44 × 22820

55 × 18256

56 × 17930

70 × 14344

77 × 13040

80 × 12551

88 × 11410

110 × 9128

112 × 8965

140 × 7172

154 × 6520

163 × 6160

176 × 5705

220 × 4564

280 × 3586

308 × 3260

326 × 3080

385 × 2608

440 × 2282

560 × 1793

616 × 1630

652 × 1540

770 × 1304

815 × 1232

880 × 1141

First multiples

1,004,080 · 2,008,160 (double) · 3,012,240 · 4,016,320 · 5,020,400 · 6,024,480 · 7,028,560 · 8,032,640 · 9,036,720 · 10,040,800

Sums & aliquot sequence

As consecutive integers: 200,814 + 200,815 + 200,816 + 200,817 + 200,818 143,437 + 143,438 + … + 143,443 91,275 + 91,276 + … + 91,285 31,362 + 31,363 + … + 31,393

Aliquot sequence: 1,004,080 → 1,924,304 → 1,837,360 → 3,358,736 → 3,432,496 → 3,217,996 → 2,533,652 → 2,365,228 → 2,053,844 → 1,859,884 → 1,724,564 → 1,293,430 → 1,049,594 → 939,526 → 700,022 → 362,914 → 181,460 — unresolved within range

Continued fraction of √n

√1,004,080 = [1002; (26, 2, 1, 2, 2, 5, 7, 1, 2, 13, 1, 1, 3, 11, 1, 1, 2, 1, 6, 1, 2, 8, 1, 1, …)]

Representations

In words: one million four thousand eighty
Ordinal: 1004080th
Binary: 11110101001000110000
Octal: 3651060
Hexadecimal: 0xF5230
Base64: D1Iw
One's complement: 4,293,963,215 (32-bit)
Scientific notation: 1.00408 × 10⁶
As a duration: 1,004,080 s = 11 days, 14 hours, 54 minutes, 40 seconds

In other bases

ternary (3) 1220000100011

quaternary (4) 3311020300

quinary (5) 224112310

senary (6) 33304304

septenary (7) 11351230

nonary (9) 1800304

undecimal (11) 626420

duodecimal (12) 405094

tridecimal (13) 29203c

tetradecimal (14) 1c1cc0

pentadecimal (15) 14c78a

As an angle

1,004,080° = 2,789 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬四千零八十
Chinese (financial): 壹佰萬肆仟零捌拾

In other modern scripts

Eastern Arabic ١٠٠٤٠٨٠ Devanagari १००४०८० Bengali ১০০৪০৮০ Tamil ௧௦௦௪௦௮௦ Thai ๑๐๐๔๐๘๐ Tibetan ༡༠༠༤༠༨༠ Khmer ១០០៤០៨០ Lao ໑໐໐໔໐໘໐ Burmese ၁၀၀၄၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004080, here are decompositions:

3 + 1004077 = 1004080
17 + 1004063 = 1004080
23 + 1004057 = 1004080
47 + 1004033 = 1004080
53 + 1004027 = 1004080
137 + 1003943 = 1004080
149 + 1003931 = 1004080
167 + 1003913 = 1004080

Showing the first eight; more decompositions exist.

Hex color

#0F5230

RGB(15, 82, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.48.

Address: 0.15.82.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.48

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 1,004,080 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 US1,004,080 on Google Patents ↗ Look up on USPTO ↗