Live analysis

1,024,006

1,024,006 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.).

1,024,006 (one million twenty-four thousand six) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 23 × 113 × 197. Written other ways, in hexadecimal, 0xFA006.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,023,994 1,023,995 1,023,996 1,023,997 1,023,998 1,023,999 1,024,000 1,024,001 1,024,002 1,024,003 1,024,004 1,024,005 1,024,006 1,024,007 1,024,008 1,024,009 1,024,010 1,024,011 1,024,012 1,024,013 1,024,014 1,024,015 1,024,016 1,024,017 1,024,018

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 6,004,201
Square (n²): 1,048,588,288,036
Cube (n³): 1,073,760,698,478,592,216
Divisor count: 16
σ(n) — sum of divisors: 1,625,184
φ(n) — Euler's totient: 482,944
Sum of prime factors: 335

Primality

Prime factorization: 2 × 23 × 113 × 197

Nearest primes: 1,023,991 (−15) · 1,024,021 (+15)

Divisors & multiples

All divisors (16)

1 · 2 · 23 · 46 · 113 · 197 · 226 · 394 · 2599 · 4531 · 5198 · 9062 · 22261 · 44522 · 512003 (half) · 1024006

Aliquot sum (sum of proper divisors): 601,178

Factor pairs (a × b = 1,024,006)

1 × 1024006

2 × 512003

23 × 44522

46 × 22261

113 × 9062

197 × 5198

226 × 4531

394 × 2599

First multiples

1,024,006 · 2,048,012 (double) · 3,072,018 · 4,096,024 · 5,120,030 · 6,144,036 · 7,168,042 · 8,192,048 · 9,216,054 · 10,240,060

Sums & aliquot sequence

As consecutive integers: 256,000 + 256,001 + 256,002 + 256,003 44,511 + 44,512 + … + 44,533 11,085 + 11,086 + … + 11,176 9,006 + 9,007 + … + 9,118

Aliquot sequence: 1,024,006 → 601,178 → 300,592 → 281,836 → 211,384 → 184,976 → 206,368 → 199,982 → 99,994 → 60,260 → 72,796 → 54,604 → 57,284 → 42,970 → 34,394 → 19,066 → 9,536 — unresolved within range

Continued fraction of √n

√1,024,006 = [1011; (1, 13, 1, 1, 1, 224, 4, 1, 1, 1, 13, 1, 1, 24, 2, 7, 2, 1, 1, 2, 17, 2, 1, 2, …)]

Representations

In words: one million twenty-four thousand six
Ordinal: 1024006th
Binary: 11111010000000000110
Octal: 3720006
Hexadecimal: 0xFA006
Base64: D6AG
One's complement: 4,293,943,289 (32-bit)
Scientific notation: 1.024006 × 10⁶
As a duration: 1,024,006 s = 11 days, 20 hours, 26 minutes, 46 seconds

In other bases

ternary (3) 1221000200011

quaternary (4) 3322000012

quinary (5) 230232011

senary (6) 33540434

septenary (7) 11463304

nonary (9) 1830604

undecimal (11) 63a395

duodecimal (12) 41471a

tridecimal (13) 29b129

tetradecimal (14) 1c9274

pentadecimal (15) 153621

As an angle

1,024,006° = 2,844 × 360° + 166°

166° ≈ 2.897 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零二萬四千零六
Chinese (financial): 壹佰零貳萬肆仟零陸

In other modern scripts

Eastern Arabic ١٠٢٤٠٠٦ Devanagari १०२४००६ Bengali ১০২৪০০৬ Tamil ௧௦௨௪௦௦௬ Thai ๑๐๒๔๐๐๖ Tibetan ༡༠༢༤༠༠༦ Khmer ១០២៤០០៦ Lao ໑໐໒໔໐໐໖ Burmese ၁၀၂၄၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024006, here are decompositions:

29 + 1023977 = 1024006
59 + 1023947 = 1024006
149 + 1023857 = 1024006
167 + 1023839 = 1024006
173 + 1023833 = 1024006
353 + 1023653 = 1024006
449 + 1023557 = 1024006
587 + 1023419 = 1024006

Showing the first eight; more decompositions exist.

Hex color

#0FA006

RGB(15, 160, 6)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.6.

Address: 0.15.160.6
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.6

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 4006 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4006-02-01 (DMMYYYY (Euro, single-digit day))
4006-10-02 (MMDYYYY (US, single-digit day))
4006-02-10 (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 1,024,006 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,024,006 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1024006 first appears in π at position 429,624 of the decimal expansion (the 429,624ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1024006 on Pi Search ↗