Live analysis

1,004,420

1,004,420 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.).

1,004,420 (one million four thousand four hundred twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,221. Its proper divisors sum to 1,104,904, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5384.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,004,408 1,004,409 1,004,410 1,004,411 1,004,412 1,004,413 1,004,414 1,004,415 1,004,416 1,004,417 1,004,418 1,004,419 1,004,420 1,004,421 1,004,422 1,004,423 1,004,424 1,004,425 1,004,426 1,004,427 1,004,428 1,004,429 1,004,430 1,004,431 1,004,432

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 244,001
Square (n²): 1,008,859,536,400
Cube (n³): 1,013,318,695,550,888,000
Divisor count: 12
σ(n) — sum of divisors: 2,109,324
φ(n) — Euler's totient: 401,760
Sum of prime factors: 50,230

Primality

Prime factorization: 2 ² × 5 × 50221

Nearest primes: 1,004,401 (−19) · 1,004,429 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50221 · 100442 · 200884 · 251105 · 502210 (half) · 1004420

Aliquot sum (sum of proper divisors): 1,104,904

Factor pairs (a × b = 1,004,420)

1 × 1004420

2 × 502210

4 × 251105

5 × 200884

10 × 100442

20 × 50221

First multiples

1,004,420 · 2,008,840 (double) · 3,013,260 · 4,017,680 · 5,022,100 · 6,026,520 · 7,030,940 · 8,035,360 · 9,039,780 · 10,044,200

Sums & aliquot sequence

As a sum of two squares: 128² + 994² = 494² + 872²

As consecutive integers: 200,882 + 200,883 + 200,884 + 200,885 + 200,886 125,549 + 125,550 + … + 125,556 25,091 + 25,092 + … + 25,130

Aliquot sequence: 1,004,420 → 1,104,904 → 966,806 → 493,114 → 246,560 → 370,336 → 373,568 → 426,532 → 345,848 → 341,032 → 312,728 → 345,832 → 309,368 → 270,712 → 308,888 → 270,292 → 245,804 — unresolved within range

Continued fraction of √n

√1,004,420 = [1002; (4, 1, 4, 2, 21, 1, 1, 2, 1, 8, 4, 3, 2, 3, 1, 3, 2, 400, 2, 3, 1, 3, 2, 3, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million four thousand four hundred twenty
Ordinal: 1004420th
Binary: 11110101001110000100
Octal: 3651604
Hexadecimal: 0xF5384
Base64: D1OE
One's complement: 4,293,962,875 (32-bit)
Scientific notation: 1.00442 × 10⁶
As a duration: 1,004,420 s = 11 days, 15 hours, 20 seconds

In other bases

ternary (3) 1220000210202

quaternary (4) 3311032010

quinary (5) 224120140

senary (6) 33310032

septenary (7) 11352224

nonary (9) 1800722

undecimal (11) 6266aa

duodecimal (12) 405318

tridecimal (13) 292241

tetradecimal (14) 1c2084

pentadecimal (15) 14c915

As an angle

1,004,420° = 2,790 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬四千四百二十
Chinese (financial): 壹佰萬肆仟肆佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٤٤٢٠ Devanagari १००४४२० Bengali ১০০৪৪২০ Tamil ௧௦௦௪௪௨௦ Thai ๑๐๐๔๔๒๐ Tibetan ༡༠༠༤༤༢༠ Khmer ១០០៤៤២០ Lao ໑໐໐໔໔໒໐ Burmese ၁၀၀၄၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004420, here are decompositions:

19 + 1004401 = 1004420
97 + 1004323 = 1004420
103 + 1004317 = 1004420
127 + 1004293 = 1004420
199 + 1004221 = 1004420
211 + 1004209 = 1004420
283 + 1004137 = 1004420
331 + 1004089 = 1004420

Showing the first eight; more decompositions exist.

Hex color

#0F5384

RGB(15, 83, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.132.

Address: 0.15.83.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.132

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 1,004,420 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 US1,004,420 on Google Patents ↗ Look up on USPTO ↗