Live analysis

1,024,004

1,024,004 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.).

1,024,004 (one million twenty-four thousand four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 59 × 4,339. Written other ways, in hexadecimal, 0xFA004.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,023,992 1,023,993 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 4,004,201
Square (n²): 1,048,584,192,016
Cube (n³): 1,073,754,406,961,152,064
Divisor count: 12
σ(n) — sum of divisors: 1,822,800
φ(n) — Euler's totient: 503,208
Sum of prime factors: 4,402

Primality

Prime factorization: 2 ² × 59 × 4339

Nearest primes: 1,023,991 (−13) · 1,024,021 (+17)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 59 · 118 · 236 · 4339 · 8678 · 17356 · 256001 · 512002 (half) · 1024004

Aliquot sum (sum of proper divisors): 798,796

Factor pairs (a × b = 1,024,004)

1 × 1024004

2 × 512002

4 × 256001

59 × 17356

118 × 8678

236 × 4339

First multiples

1,024,004 · 2,048,008 (double) · 3,072,012 · 4,096,016 · 5,120,020 · 6,144,024 · 7,168,028 · 8,192,032 · 9,216,036 · 10,240,040

Sums & aliquot sequence

As consecutive integers: 127,997 + 127,998 + … + 128,004 17,327 + 17,328 + … + 17,385 1,934 + 1,935 + … + 2,405

Aliquot sequence: 1,024,004 → 798,796 → 688,312 → 617,048 → 550,432 → 550,304 → 572,356 → 546,524 → 496,924 → 372,700 → 436,276 → 353,744 → 331,666 → 165,836 → 150,844 → 119,580 → 215,412 — unresolved within range

Continued fraction of √n

√1,024,004 = [1011; (1, 13, 2, 5, 3, 1, 2, 1, 23, 1, 1, 1, 5, 1, 9, 1, 35, 1, 8, 16, 12, 1, 1, 2, …)]

Representations

In words: one million twenty-four thousand four
Ordinal: 1024004th
Binary: 11111010000000000100
Octal: 3720004
Hexadecimal: 0xFA004
Base64: D6AE
One's complement: 4,293,943,291 (32-bit)
Scientific notation: 1.024004 × 10⁶
As a duration: 1,024,004 s = 11 days, 20 hours, 26 minutes, 44 seconds

In other bases

ternary (3) 1221000200002

quaternary (4) 3322000010

quinary (5) 230232004

senary (6) 33540432

septenary (7) 11463302

nonary (9) 1830602

undecimal (11) 63a393

duodecimal (12) 414718

tridecimal (13) 29b127

tetradecimal (14) 1c9272

pentadecimal (15) 15361e

As an angle

1,024,004° = 2,844 × 360° + 164°

164° ≈ 2.862 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Chinese: 一百零二萬四千零四
Chinese (financial): 壹佰零貳萬肆仟零肆

In other modern scripts

Eastern Arabic ١٠٢٤٠٠٤ Devanagari १०२४००४ Bengali ১০২৪০০৪ Tamil ௧௦௨௪௦௦௪ Thai ๑๐๒๔๐๐๔ Tibetan ༡༠༢༤༠༠༤ Khmer ១០២៤០០៤ Lao ໑໐໒໔໐໐໔ Burmese ၁၀၂၄၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024004, here are decompositions:

13 + 1023991 = 1024004
31 + 1023973 = 1024004
61 + 1023943 = 1024004
271 + 1023733 = 1024004
283 + 1023721 = 1024004
307 + 1023697 = 1024004
433 + 1023571 = 1024004
463 + 1023541 = 1024004

Showing the first eight; more decompositions exist.

Hex color

#0FA004

RGB(15, 160, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.4.

Address: 0.15.160.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.4

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 4004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4004-02-01 (DMMYYYY (Euro, single-digit day))
4004-10-02 (MMDYYYY (US, single-digit day))
4004-02-10 (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 1,024,004 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 US1,024,004 on Google Patents ↗ Look up on USPTO ↗