Live analysis

1,004,880

1,004,880 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.).

1,004,880 (one million four thousand eight hundred eighty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 53 × 79. Its proper divisors sum to 2,209,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5550.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,868 1,004,869 1,004,870 1,004,871 1,004,872 1,004,873 1,004,874 1,004,875 1,004,876 1,004,877 1,004,878 1,004,879 1,004,880 1,004,881 1,004,882 1,004,883 1,004,884 1,004,885 1,004,886 1,004,887 1,004,888 1,004,889 1,004,890 1,004,891 1,004,892

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 884,001
Square (n²): 1,009,783,814,400
Cube (n³): 1,014,711,559,414,272,000
Divisor count: 80
σ(n) — sum of divisors: 3,214,080
φ(n) — Euler's totient: 259,584
Sum of prime factors: 148

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 53 × 79

Nearest primes: 1,004,873 (−7) · 1,004,903 (+23)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 53 · 60 · 79 · 80 · 106 · 120 · 158 · 159 · 212 · 237 · 240 · 265 · 316 · 318 · 395 · 424 · 474 · 530 · 632 · 636 · 790 · 795 · 848 · 948 · 1060 · 1185 · 1264 · 1272 · 1580 · 1590 · 1896 · 2120 · 2370 · 2544 · 3160 · 3180 · 3792 · 4187 · 4240 · 4740 · 6320 · 6360 · 8374 · 9480 · 12561 · 12720 · 16748 · 18960 · 20935 · 25122 · 33496 · 41870 · 50244 · 62805 · 66992 · 83740 · 100488 · 125610 · 167480 · 200976 · 251220 · 334960 · 502440 (half) · 1004880

Aliquot sum (sum of proper divisors): 2,209,200

Factor pairs (a × b = 1,004,880)

1 × 1004880

2 × 502440

3 × 334960

4 × 251220

5 × 200976

6 × 167480

8 × 125610

10 × 100488

12 × 83740

15 × 66992

16 × 62805

20 × 50244

24 × 41870

30 × 33496

40 × 25122

48 × 20935

53 × 18960

60 × 16748

79 × 12720

80 × 12561

106 × 9480

120 × 8374

158 × 6360

159 × 6320

212 × 4740

237 × 4240

240 × 4187

265 × 3792

316 × 3180

318 × 3160

395 × 2544

424 × 2370

474 × 2120

530 × 1896

632 × 1590

636 × 1580

790 × 1272

795 × 1264

848 × 1185

948 × 1060

First multiples

1,004,880 · 2,009,760 (double) · 3,014,640 · 4,019,520 · 5,024,400 · 6,029,280 · 7,034,160 · 8,039,040 · 9,043,920 · 10,048,800

Sums & aliquot sequence

As consecutive integers: 334,959 + 334,960 + 334,961 200,974 + 200,975 + 200,976 + 200,977 + 200,978 66,985 + 66,986 + … + 66,999 31,387 + 31,388 + … + 31,418

Aliquot sequence: 1,004,880 → 2,209,200 → 5,909,328 → 11,053,872 → 20,960,448 → 34,497,912 → 55,872,168 → 101,444,952 → 209,249,448 → 313,874,232 → 589,428,168 → 1,094,652,792 → 2,086,015,608 → 3,575,029,392 → 7,922,627,568 → 14,766,569,040 — keeps growing

Continued fraction of √n

√1,004,880 = [1002; (2, 3, 2, 7, 1, 7, 2, 3, 2, 2004)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million four thousand eight hundred eighty
Ordinal: 1004880th
Binary: 11110101010101010000
Octal: 3652520
Hexadecimal: 0xF5550
Base64: D1VQ
One's complement: 4,293,962,415 (32-bit)
Scientific notation: 1.00488 × 10⁶
As a duration: 1,004,880 s = 11 days, 15 hours, 8 minutes

In other bases

ternary (3) 1220001102210

quaternary (4) 3311111100

quinary (5) 224124010

senary (6) 33312120

septenary (7) 11353452

nonary (9) 1801383

undecimal (11) 626a88

duodecimal (12) 405640

tridecimal (13) 292506

tetradecimal (14) 1c22d2

pentadecimal (15) 14cb20

As an angle

1,004,880° = 2,791 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬四千八百八十
Chinese (financial): 壹佰萬肆仟捌佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٤٨٨٠ Devanagari १००४८८० Bengali ১০০৪৮৮০ Tamil ௧௦௦௪௮௮௦ Thai ๑๐๐๔๘๘๐ Tibetan ༡༠༠༤༨༨༠ Khmer ១០០៤៨៨០ Lao ໑໐໐໔໘໘໐ Burmese ၁၀၀၄၈၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004880, here are decompositions:

7 + 1004873 = 1004880
83 + 1004797 = 1004880
101 + 1004779 = 1004880
131 + 1004749 = 1004880
137 + 1004743 = 1004880
157 + 1004723 = 1004880
193 + 1004687 = 1004880
211 + 1004669 = 1004880

Showing the first eight; more decompositions exist.

Hex color

#0F5550

RGB(15, 85, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.80.

Address: 0.15.85.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.80

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 1,004,880 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 US1,004,880 on Google Patents ↗ Look up on USPTO ↗