Live analysis

1,006,408

1,006,408 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.).

1,006,408 (one million six thousand four hundred eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 9,677. Its proper divisors sum to 1,025,972, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B48.

Abundant Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,006,396 1,006,397 1,006,398 1,006,399 1,006,400 1,006,401 1,006,402 1,006,403 1,006,404 1,006,405 1,006,406 1,006,407 1,006,408 1,006,409 1,006,410 1,006,411 1,006,412 1,006,413 1,006,414 1,006,415 1,006,416 1,006,417 1,006,418 1,006,419 1,006,420

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Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 8,046,001
Square (n²): 1,012,857,062,464
Cube (n³): 1,019,347,450,520,269,312
Divisor count: 16
σ(n) — sum of divisors: 2,032,380
φ(n) — Euler's totient: 464,448
Sum of prime factors: 9,696

Primality

Prime factorization: 2 ³ × 13 × 9677

Nearest primes: 1,006,393 (−15) · 1,006,433 (+25)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 9677 · 19354 · 38708 · 77416 · 125801 · 251602 · 503204 (half) · 1006408

Aliquot sum (sum of proper divisors): 1,025,972

Factor pairs (a × b = 1,006,408)

1 × 1006408

2 × 503204

4 × 251602

8 × 125801

13 × 77416

26 × 38708

52 × 19354

104 × 9677

First multiples

1,006,408 · 2,012,816 (double) · 3,019,224 · 4,025,632 · 5,032,040 · 6,038,448 · 7,044,856 · 8,051,264 · 9,057,672 · 10,064,080

Sums & aliquot sequence

As a sum of two squares: 102² + 998² = 478² + 882²

As consecutive integers: 77,410 + 77,411 + … + 77,422 62,893 + 62,894 + … + 62,908 4,735 + 4,736 + … + 4,942

Aliquot sequence: 1,006,408 → 1,025,972 → 769,486 → 424,634 → 319,366 → 159,686 → 79,846 → 54,218 → 27,112 → 23,738 → 18,598 → 10,994 → 6,286 → 4,514 → 2,554 → 1,280 → 1,786 — unresolved within range

Continued fraction of √n

√1,006,408 = [1003; (5, 35, 1, 1, 1, 2, 4, 40, 1, 2, 1, 1, 4, 2, 5, 3, 1, 3, 3, 1, 1, 1, 1, 1, …)]

Representations

In words: one million six thousand four hundred eight
Ordinal: 1006408th
Binary: 11110101101101001000
Octal: 3655510
Hexadecimal: 0xF5B48
Base64: D1tI
One's complement: 4,293,960,887 (32-bit)
Scientific notation: 1.006408 × 10⁶
As a duration: 1,006,408 s = 11 days, 15 hours, 33 minutes, 28 seconds

In other bases

ternary (3) 1220010112101

quaternary (4) 3311231020

quinary (5) 224201113

senary (6) 33323144

septenary (7) 11361064

nonary (9) 1803471

undecimal (11) 628147

duodecimal (12) 4064b4

tridecimal (13) 293110

tetradecimal (14) 1c2aa4

pentadecimal (15) 14d2dd

As an angle

1,006,408° = 2,795 × 360° + 208°

208° ≈ 3.63 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千四百零八
Chinese (financial): 壹佰萬陸仟肆佰零捌

In other modern scripts

Eastern Arabic ١٠٠٦٤٠٨ Devanagari १००६४०८ Bengali ১০০৬৪০৮ Tamil ௧௦௦௬௪௦௮ Thai ๑๐๐๖๔๐๘ Tibetan ༡༠༠༦༤༠༨ Khmer ១០០៦៤០៨ Lao ໑໐໐໖໔໐໘ Burmese ၁၀၀၆၄၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006408, here are decompositions:

17 + 1006391 = 1006408
41 + 1006367 = 1006408
47 + 1006361 = 1006408
71 + 1006337 = 1006408
101 + 1006307 = 1006408
107 + 1006301 = 1006408
167 + 1006241 = 1006408
191 + 1006217 = 1006408

Showing the first eight; more decompositions exist.

Hex color

#0F5B48

RGB(15, 91, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.72.

Address: 0.15.91.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.72

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 1,006,408 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 US1,006,408 on Google Patents ↗ Look up on USPTO ↗