Live analysis

1,004,406

1,004,406 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.).

1,004,406 (one million four thousand four hundred six) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 79 × 163. Its proper divisors sum to 1,199,754, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5376.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,394 1,004,395 1,004,396 1,004,397 1,004,398 1,004,399 1,004,400 1,004,401 1,004,402 1,004,403 1,004,404 1,004,405 1,004,406 1,004,407 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 6,044,001
Square (n²): 1,008,831,412,836
Cube (n³): 1,013,276,324,040,955,416
Divisor count: 32
σ(n) — sum of divisors: 2,204,160
φ(n) — Euler's totient: 303,264
Sum of prime factors: 260

Primality

Prime factorization: 2 × 3 × 13 × 79 × 163

Nearest primes: 1,004,401 (−5) · 1,004,429 (+23)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 13 · 26 · 39 · 78 · 79 · 158 · 163 · 237 · 326 · 474 · 489 · 978 · 1027 · 2054 · 2119 · 3081 · 4238 · 6162 · 6357 · 12714 · 12877 · 25754 · 38631 · 77262 · 167401 · 334802 · 502203 (half) · 1004406

Aliquot sum (sum of proper divisors): 1,199,754

Factor pairs (a × b = 1,004,406)

1 × 1004406

2 × 502203

3 × 334802

6 × 167401

13 × 77262

26 × 38631

39 × 25754

78 × 12877

79 × 12714

158 × 6357

163 × 6162

237 × 4238

326 × 3081

474 × 2119

489 × 2054

978 × 1027

First multiples

1,004,406 · 2,008,812 (double) · 3,013,218 · 4,017,624 · 5,022,030 · 6,026,436 · 7,030,842 · 8,035,248 · 9,039,654 · 10,044,060

Sums & aliquot sequence

As consecutive integers: 334,801 + 334,802 + 334,803 251,100 + 251,101 + 251,102 + 251,103 83,695 + 83,696 + … + 83,706 77,256 + 77,257 + … + 77,268

Aliquot sequence: 1,004,406 → 1,199,754 → 1,399,752 → 2,391,438 → 3,140,466 → 4,352,142 → 4,352,154 → 4,352,166 → 7,257,978 → 13,043,142 → 19,802,970 → 37,278,054 → 50,834,178 → 61,994,538 → 75,771,222 → 78,340,458 → 111,877,782 — unresolved within range

Continued fraction of √n

√1,004,406 = [1002; (4, 1, 68, 3, 6, 1, 1, 2, 1, 1, 1, 1, 1, 199, 1, 4, 1, 1, 3, 1, 6, 7, 1, 1, …)]

Representations

In words: one million four thousand four hundred six
Ordinal: 1004406th
Binary: 11110101001101110110
Octal: 3651566
Hexadecimal: 0xF5376
Base64: D1N2
One's complement: 4,293,962,889 (32-bit)
Scientific notation: 1.004406 × 10⁶
As a duration: 1,004,406 s = 11 days, 15 hours, 6 seconds

In other bases

ternary (3) 1220000210020

quaternary (4) 3311031312

quinary (5) 224120111

senary (6) 33310010

septenary (7) 11352204

nonary (9) 1800706

undecimal (11) 626697

duodecimal (12) 405306

tridecimal (13) 292230

tetradecimal (14) 1c2074

pentadecimal (15) 14c906

As an angle

1,004,406° = 2,790 × 360° + 6°

6° ≈ 0.105 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千四百零六
Chinese (financial): 壹佰萬肆仟肆佰零陸

In other modern scripts

Eastern Arabic ١٠٠٤٤٠٦ Devanagari १००४४०६ Bengali ১০০৪৪০৬ Tamil ௧௦௦௪௪௦௬ Thai ๑๐๐๔๔๐๖ Tibetan ༡༠༠༤༤༠༦ Khmer ១០០៤៤០៦ Lao ໑໐໐໔໔໐໖ Burmese ၁၀၀၄၄၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004406, here are decompositions:

5 + 1004401 = 1004406
43 + 1004363 = 1004406
83 + 1004323 = 1004406
89 + 1004317 = 1004406
103 + 1004303 = 1004406
113 + 1004293 = 1004406
127 + 1004279 = 1004406
173 + 1004233 = 1004406

Showing the first eight; more decompositions exist.

Hex color

#0F5376

RGB(15, 83, 118)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.118.

Address: 0.15.83.118
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.118

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 1,004,406 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 US1,004,406 on Google Patents ↗ Look up on USPTO ↗