Live analysis

1,004,180

1,004,180 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.).

1,004,180 (one million four thousand one hundred eighty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 23 × 37 × 59. Its proper divisors sum to 1,294,060, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5294.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,004,168 1,004,169 1,004,170 1,004,171 1,004,172 1,004,173 1,004,174 1,004,175 1,004,176 1,004,177 1,004,178 1,004,179 1,004,180 1,004,181 1,004,182 1,004,183 1,004,184 1,004,185 1,004,186 1,004,187 1,004,188 1,004,189 1,004,190 1,004,191 1,004,192

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 814,001
Square (n²): 1,008,377,472,400
Cube (n³): 1,012,592,490,234,632,000
Divisor count: 48
σ(n) — sum of divisors: 2,298,240
φ(n) — Euler's totient: 367,488
Sum of prime factors: 128

Primality

Prime factorization: 2 ² × 5 × 23 × 37 × 59

Nearest primes: 1,004,167 (−13) · 1,004,209 (+29)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 10 · 20 · 23 · 37 · 46 · 59 · 74 · 92 · 115 · 118 · 148 · 185 · 230 · 236 · 295 · 370 · 460 · 590 · 740 · 851 · 1180 · 1357 · 1702 · 2183 · 2714 · 3404 · 4255 · 4366 · 5428 · 6785 · 8510 · 8732 · 10915 · 13570 · 17020 · 21830 · 27140 · 43660 · 50209 · 100418 · 200836 · 251045 · 502090 (half) · 1004180

Aliquot sum (sum of proper divisors): 1,294,060

Factor pairs (a × b = 1,004,180)

1 × 1004180

2 × 502090

4 × 251045

5 × 200836

10 × 100418

20 × 50209

23 × 43660

37 × 27140

46 × 21830

59 × 17020

74 × 13570

92 × 10915

115 × 8732

118 × 8510

148 × 6785

185 × 5428

230 × 4366

236 × 4255

295 × 3404

370 × 2714

460 × 2183

590 × 1702

740 × 1357

851 × 1180

First multiples

1,004,180 · 2,008,360 (double) · 3,012,540 · 4,016,720 · 5,020,900 · 6,025,080 · 7,029,260 · 8,033,440 · 9,037,620 · 10,041,800

Sums & aliquot sequence

As consecutive integers: 200,834 + 200,835 + 200,836 + 200,837 + 200,838 125,519 + 125,520 + … + 125,526 43,649 + 43,650 + … + 43,671 27,122 + 27,123 + … + 27,158

Aliquot sequence: 1,004,180 → 1,294,060 → 1,457,780 → 1,603,600 → 2,471,040 → 7,810,560 → 20,178,720 → 51,710,076 → 96,989,244 → 151,766,508 → 202,781,140 → 223,330,700 → 289,808,332 → 264,026,180 → 351,115,900 → 413,354,268 → 641,288,412 — unresolved within range

Continued fraction of √n

√1,004,180 = [1002; (11, 2, 1, 1, 2, 2, 4, 40, 1, 2, 12, 1, 1, 2, 6, 2, 1, 1, 12, 2, 1, 40, 4, 2, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: one million four thousand one hundred eighty
Ordinal: 1004180th
Binary: 11110101001010010100
Octal: 3651224
Hexadecimal: 0xF5294
Base64: D1KU
One's complement: 4,293,963,115 (32-bit)
Scientific notation: 1.00418 × 10⁶
As a duration: 1,004,180 s = 11 days, 14 hours, 56 minutes, 20 seconds

In other bases

ternary (3) 1220000110212

quaternary (4) 3311022110

quinary (5) 224113210

senary (6) 33304552

septenary (7) 11351432

nonary (9) 1800425

undecimal (11) 626501

duodecimal (12) 405158

tridecimal (13) 2920b8

tetradecimal (14) 1c1d52

pentadecimal (15) 14c805

As an angle

1,004,180° = 2,789 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬四千一百八十
Chinese (financial): 壹佰萬肆仟壹佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٤١٨٠ Devanagari १००४१८० Bengali ১০০৪১৮০ Tamil ௧௦௦௪௧௮௦ Thai ๑๐๐๔๑๘๐ Tibetan ༡༠༠༤༡༨༠ Khmer ១០០៤១៨០ Lao ໑໐໐໔໑໘໐ Burmese ၁၀၀၄၁၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004180, here are decompositions:

13 + 1004167 = 1004180
19 + 1004161 = 1004180
43 + 1004137 = 1004180
61 + 1004119 = 1004180
103 + 1004077 = 1004180
127 + 1004053 = 1004180
223 + 1003957 = 1004180
271 + 1003909 = 1004180

Showing the first eight; more decompositions exist.

Hex color

#0F5294

RGB(15, 82, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.148.

Address: 0.15.82.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.148

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 1,004,180 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 US1,004,180 on Google Patents ↗ Look up on USPTO ↗