Live analysis

1,006,468

1,006,468 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.).

1,006,468 (one million six thousand four hundred sixty-eight) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 17 × 19² × 41. Its proper divisors sum to 1,009,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B84.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,006,456 1,006,457 1,006,458 1,006,459 1,006,460 1,006,461 1,006,462 1,006,463 1,006,464 1,006,465 1,006,466 1,006,467 1,006,468 1,006,469 1,006,470 1,006,471 1,006,472 1,006,473 1,006,474 1,006,475 1,006,476 1,006,477 1,006,478 1,006,479 1,006,480

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 25
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 8,646,001
Square (n²): 1,012,977,835,024
Cube (n³): 1,019,529,775,660,935,232
Divisor count: 36
σ(n) — sum of divisors: 2,016,252
φ(n) — Euler's totient: 437,760
Sum of prime factors: 100

Primality

Prime factorization: 2 ² × 17 × 19 ² × 41

Nearest primes: 1,006,463 (−5) · 1,006,469 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 17 · 19 · 34 · 38 · 41 · 68 · 76 · 82 · 164 · 323 · 361 · 646 · 697 · 722 · 779 · 1292 · 1394 · 1444 · 1558 · 2788 · 3116 · 6137 · 12274 · 13243 · 14801 · 24548 · 26486 · 29602 · 52972 · 59204 · 251617 · 503234 (half) · 1006468

Aliquot sum (sum of proper divisors): 1,009,784

Factor pairs (a × b = 1,006,468)

1 × 1006468

2 × 503234

4 × 251617

17 × 59204

19 × 52972

34 × 29602

38 × 26486

41 × 24548

68 × 14801

76 × 13243

82 × 12274

164 × 6137

323 × 3116

361 × 2788

646 × 1558

697 × 1444

722 × 1394

779 × 1292

First multiples

1,006,468 · 2,012,936 (double) · 3,019,404 · 4,025,872 · 5,032,340 · 6,038,808 · 7,045,276 · 8,051,744 · 9,058,212 · 10,064,680

Sums & aliquot sequence

As a sum of two squares: 418² + 912² = 608² + 798²

As consecutive integers: 125,805 + 125,806 + … + 125,812 59,196 + 59,197 + … + 59,212 52,963 + 52,964 + … + 52,981 24,528 + 24,529 + … + 24,568

Aliquot sequence: 1,006,468 → 1,009,784 → 883,576 → 860,624 → 911,026 → 455,516 → 346,516 → 259,894 → 132,506 → 96,454 → 53,306 → 33,958 → 16,982 → 12,154 → 6,566 → 5,062 → 2,534 — unresolved within range

Continued fraction of √n

√1,006,468 = [1003; (4, 2, 1, 2, 3, 2, 2, 5, 6, 1, 3, 1, 1, 2, 2, 1, 23, 5, 1, 1, 15, 3, 1, 15, …)]

Representations

In words: one million six thousand four hundred sixty-eight
Ordinal: 1006468th
Binary: 11110101101110000100
Octal: 3655604
Hexadecimal: 0xF5B84
Base64: D1uE
One's complement: 4,293,960,827 (32-bit)
Scientific notation: 1.006468 × 10⁶
As a duration: 1,006,468 s = 11 days, 15 hours, 34 minutes, 28 seconds

In other bases

ternary (3) 1220010121121

quaternary (4) 3311232010

quinary (5) 224201333

senary (6) 33323324

septenary (7) 11361211

nonary (9) 1803547

undecimal (11) 6281a1

duodecimal (12) 406544

tridecimal (13) 293158

tetradecimal (14) 1c2b08

pentadecimal (15) 14d32d

As an angle

1,006,468° = 2,795 × 360° + 268°

268° ≈ 4.677 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千四百六十八
Chinese (financial): 壹佰萬陸仟肆佰陸拾捌

In other modern scripts

Eastern Arabic ١٠٠٦٤٦٨ Devanagari १००६४६८ Bengali ১০০৬৪৬৮ Tamil ௧௦௦௬௪௬௮ Thai ๑๐๐๖๔๖๘ Tibetan ༡༠༠༦༤༦༨ Khmer ១០០៦៤៦៨ Lao ໑໐໐໖໔໖໘ Burmese ၁၀၀၆၄၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006468, here are decompositions:

5 + 1006463 = 1006468
101 + 1006367 = 1006468
107 + 1006361 = 1006468
131 + 1006337 = 1006468
137 + 1006331 = 1006468
167 + 1006301 = 1006468
227 + 1006241 = 1006468
251 + 1006217 = 1006468

Showing the first eight; more decompositions exist.

Hex color

#0F5B84

RGB(15, 91, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.132.

Address: 0.15.91.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.132

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 1,006,468 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 US1,006,468 on Google Patents ↗ Look up on USPTO ↗