Live analysis

1,024,096

1,024,096 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.).

1,024,096 (one million twenty-four thousand ninety-six) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 32,003. Written other ways, in hexadecimal, 0xFA060.

Arithmetic Number Deficient Number Evil Number Gapful Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,024,084 1,024,085 1,024,086 1,024,087 1,024,088 1,024,089 1,024,090 1,024,091 1,024,092 1,024,093 1,024,094 1,024,095 1,024,096 1,024,097 1,024,098 1,024,099 1,024,100 1,024,101 1,024,102 1,024,103 1,024,104 1,024,105 1,024,106 1,024,107 1,024,108

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 6,904,201
Square (n²): 1,048,772,617,216
Cube (n³): 1,074,043,842,200,436,736
Divisor count: 12
σ(n) — sum of divisors: 2,016,252
φ(n) — Euler's totient: 512,032
Sum of prime factors: 32,013

Primality

Prime factorization: 2 ⁵ × 32003

Nearest primes: 1,024,091 (−5) · 1,024,099 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 8 · 16 · 32 · 32003 · 64006 · 128012 · 256024 · 512048 (half) · 1024096

Aliquot sum (sum of proper divisors): 992,156

Factor pairs (a × b = 1,024,096)

1 × 1024096

2 × 512048

4 × 256024

8 × 128012

16 × 64006

32 × 32003

First multiples

1,024,096 · 2,048,192 (double) · 3,072,288 · 4,096,384 · 5,120,480 · 6,144,576 · 7,168,672 · 8,192,768 · 9,216,864 · 10,240,960

Sums & aliquot sequence

As consecutive integers: 15,970 + 15,971 + … + 16,033

Aliquot sequence: 1,024,096 → 992,156 → 902,044 → 1,073,636 → 819,724 → 614,800 → 942,020 → 1,228,540 → 1,583,780 → 2,214,364 → 1,660,780 → 2,144,420 → 2,391,580 → 2,664,548 → 2,009,884 → 1,518,116 → 1,164,172 — unresolved within range

Continued fraction of √n

√1,024,096 = [1011; (1, 41, 6, 56, 18, 4, 1, 1, 1, 2, 3, 24, 1, 2, 4, 4, 1, 1, 7, 2, 1, 1, 1, 1, …)]

Representations

In words: one million twenty-four thousand ninety-six
Ordinal: 1024096th
Binary: 11111010000001100000
Octal: 3720140
Hexadecimal: 0xFA060
Base64: D6Bg
One's complement: 4,293,943,199 (32-bit)
Scientific notation: 1.024096 × 10⁶
As a duration: 1,024,096 s = 11 days, 20 hours, 28 minutes, 16 seconds

In other bases

ternary (3) 1221000210111

quaternary (4) 3322001200

quinary (5) 230232341

senary (6) 33541104

septenary (7) 11463463

nonary (9) 1830714

undecimal (11) 63a467

duodecimal (12) 414794

tridecimal (13) 29b198

tetradecimal (14) 1c92da

pentadecimal (15) 153681

As an angle

1,024,096° = 2,844 × 360° + 256°

256° ≈ 4.468 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零二萬四千零九十六
Chinese (financial): 壹佰零貳萬肆仟零玖拾陸

In other modern scripts

Eastern Arabic ١٠٢٤٠٩٦ Devanagari १०२४०९६ Bengali ১০২৪০৯৬ Tamil ௧௦௨௪௦௯௬ Thai ๑๐๒๔๐๙๖ Tibetan ༡༠༢༤༠༩༦ Khmer ១០២៤០៩៦ Lao ໑໐໒໔໐໙໖ Burmese ၁၀၂၄၀၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024096, here are decompositions:

5 + 1024091 = 1024096
23 + 1024073 = 1024096
149 + 1023947 = 1024096
239 + 1023857 = 1024096
257 + 1023839 = 1024096
263 + 1023833 = 1024096
443 + 1023653 = 1024096
677 + 1023419 = 1024096

Showing the first eight; more decompositions exist.

Hex color

#0FA060

RGB(15, 160, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.96.

Address: 0.15.160.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 4096 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4096-02-01 (DMMYYYY (Euro, single-digit day))
4096-10-02 (MMDYYYY (US, single-digit day))
4096-02-10 (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 1,024,096 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 US1,024,096 on Google Patents ↗ Look up on USPTO ↗