Live analysis

1,010,404

1,010,404 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.).

1,010,404 (one million ten thousand four hundred four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 41 × 61 × 101. Written other ways, in hexadecimal, 0xF6AE4.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,010,392 1,010,393 1,010,394 1,010,395 1,010,396 1,010,397 1,010,398 1,010,399 1,010,400 1,010,401 1,010,402 1,010,403 1,010,404 1,010,405 1,010,406 1,010,407 1,010,408 1,010,409 1,010,410 1,010,411 1,010,412 1,010,413 1,010,414 1,010,415 1,010,416

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Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 4,040,101
Square (n²): 1,020,916,243,216
Cube (n³): 1,031,537,855,810,419,264
Divisor count: 24
σ(n) — sum of divisors: 1,859,256
φ(n) — Euler's totient: 480,000
Sum of prime factors: 207

Primality

Prime factorization: 2 ² × 41 × 61 × 101

Nearest primes: 1,010,381 (−23) · 1,010,407 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 41 · 61 · 82 · 101 · 122 · 164 · 202 · 244 · 404 · 2501 · 4141 · 5002 · 6161 · 8282 · 10004 · 12322 · 16564 · 24644 · 252601 · 505202 (half) · 1010404

Aliquot sum (sum of proper divisors): 848,852

Factor pairs (a × b = 1,010,404)

1 × 1010404

2 × 505202

4 × 252601

41 × 24644

61 × 16564

82 × 12322

101 × 10004

122 × 8282

164 × 6161

202 × 5002

244 × 4141

404 × 2501

First multiples

1,010,404 · 2,020,808 (double) · 3,031,212 · 4,041,616 · 5,052,020 · 6,062,424 · 7,072,828 · 8,083,232 · 9,093,636 · 10,104,040

Sums & aliquot sequence

As a sum of two squares: 80² + 1,002² = 102² + 1,000² = 120² + 998² = 298² + 960²

As consecutive integers: 126,297 + 126,298 + … + 126,304 24,624 + 24,625 + … + 24,664 16,534 + 16,535 + … + 16,594 9,954 + 9,955 + … + 10,054

Aliquot sequence: 1,010,404 → 848,852 → 648,448 → 731,252 → 548,446 → 274,226 → 150,478 → 75,242 → 44,314 → 22,160 → 29,548 → 23,372 → 17,536 → 17,654 → 15,274 → 10,934 → 9,802 — unresolved within range

Continued fraction of √n

√1,010,404 = [1005; (5, 3, 3, 2, 4, 15, 1, 6, 55, 1, 2, 3, 31, 8, 1, 9, 3, 5, 1, 23, 1, 43, 1, 2, …)]

Representations

In words: one million ten thousand four hundred four
Ordinal: 1010404th
Binary: 11110110101011100100
Octal: 3665344
Hexadecimal: 0xF6AE4
Base64: D2rk
One's complement: 4,293,956,891 (32-bit)
Scientific notation: 1.010404 × 10⁶
As a duration: 1,010,404 s = 11 days, 16 hours, 40 minutes, 4 seconds

In other bases

ternary (3) 1220100000101

quaternary (4) 3312223210

quinary (5) 224313104

senary (6) 33353444

septenary (7) 11405533

nonary (9) 1810011

undecimal (11) 63014a

duodecimal (12) 408884

tridecimal (13) 294b95

tetradecimal (14) 1c431a

pentadecimal (15) 14e5a4

As an angle

1,010,404° = 2,806 × 360° + 244°

244° ≈ 4.259 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百零一萬零四百零四
Chinese (financial): 壹佰零壹萬零肆佰零肆

In other modern scripts

Eastern Arabic ١٠١٠٤٠٤ Devanagari १०१०४०४ Bengali ১০১০৪০৪ Tamil ௧௦௧௦௪௦௪ Thai ๑๐๑๐๔๐๔ Tibetan ༡༠༡༠༤༠༤ Khmer ១០១០៤០៤ Lao ໑໐໑໐໔໐໔ Burmese ၁၀၁၀၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010404, here are decompositions:

23 + 1010381 = 1010404
47 + 1010357 = 1010404
107 + 1010297 = 1010404
113 + 1010291 = 1010404
167 + 1010237 = 1010404
401 + 1010003 = 1010404
467 + 1009937 = 1010404
503 + 1009901 = 1010404

Showing the first eight; more decompositions exist.

Hex color

#0F6AE4

RGB(15, 106, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.106.228.

Address: 0.15.106.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.106.228

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 0404 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0404-10-01 (MMDYYYY (US, single-digit day))
0404-01-10 (DDMYYYY (Euro, single-digit month))

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 1,010,404 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 US1,010,404 on Google Patents ↗ Look up on USPTO ↗