Live analysis

1,048,576

1,048,576 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.).

1,048,576 (one million forty-eight thousand five hundred seventy-six) is an even 7-digit number. It is a composite number with 21 divisors, and factors as 2²⁰. It is a perfect square (1,024²) and a power of two (2²⁰). Written other ways, in hexadecimal, 0x100000.

Deficient Number Frugal Number Gapful Number Odious Number Perfect Square Power of Two Powerful Number Practical Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,048,564 1,048,565 1,048,566 1,048,567 1,048,568 1,048,569 1,048,570 1,048,571 1,048,572 1,048,573 1,048,574 1,048,575 1,048,576 1,048,577 1,048,578 1,048,579 1,048,580 1,048,581 1,048,582 1,048,583 1,048,584 1,048,585 1,048,586 1,048,587 1,048,588

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 31
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 21 bits
Reversed: 6,758,401
Square (n²): 1,099,511,627,776
Cube (n³): 1,152,921,504,606,846,976
Square root (√n): 1,024
Divisor count: 21
σ(n) — sum of divisors: 2,097,151
φ(n) — Euler's totient: 524,288
Sum of prime factors: 40

Primality

Prime factorization: 2 ²⁰

Nearest primes: 1,048,573 (−3) · 1,048,583 (+7)

Divisors & multiples

All divisors (21)

1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 256 · 512 · 1024 · 2048 · 4096 · 8192 · 16384 · 32768 · 65536 · 131072 · 262144 · 524288 (half) · 1048576

Aliquot sum (sum of proper divisors): 1,048,575

Factor pairs (a × b = 1,048,576)

1 × 1048576

2 × 524288

4 × 262144

8 × 131072

16 × 65536

32 × 32768

64 × 16384

128 × 8192

256 × 4096

512 × 2048

1024 × 1024

First multiples

1,048,576 · 2,097,152 (double) · 3,145,728 · 4,194,304 · 5,242,880 · 6,291,456 · 7,340,032 · 8,388,608 · 9,437,184 · 10,485,760

Sums & aliquot sequence

As a sum of two squares: 0² + 1,024²

Aliquot sequence: 1,048,576 → 1,048,575 → 951,297 → 389,631 → 177,153 → 59,055 → 39,249 → 27,441 → 12,209 → 451 → 53 → 1 → 0 — terminates at zero

Representations

In words: one million forty-eight thousand five hundred seventy-six
Ordinal: 1048576th
Binary: 100000000000000000000
Octal: 4000000
Hexadecimal: 0x100000
Base64: EAAA
One's complement: 4,293,918,719 (32-bit)
Scientific notation: 1.048576 × 10⁶
As a duration: 1,048,576 s = 12 days, 3 hours, 16 minutes, 16 seconds

In other bases

ternary (3) 1222021101011

quaternary (4) 10000000000

quinary (5) 232023301

senary (6) 34250304

septenary (7) 11625034

nonary (9) 1867334

undecimal (11) 6568a1

duodecimal (12) 426994

tridecimal (13) 2a9379

tetradecimal (14) 1d41c4

pentadecimal (15) 15aa51

Palindromic in base 15

As an angle

1,048,576° = 2,912 × 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 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零四萬八千五百七十六
Chinese (financial): 壹佰零肆萬捌仟伍佰柒拾陸

In other modern scripts

Eastern Arabic ١٠٤٨٥٧٦ Devanagari १०४८५७६ Bengali ১০৪৮৫৭৬ Tamil ௧௦௪௮௫௭௬ Thai ๑๐๔๘๕๗๖ Tibetan ༡༠༤༨༥༧༦ Khmer ១០៤៨៥៧៦ Lao ໑໐໔໘໕໗໖ Burmese ၁၀၄၈၅၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1048576, here are decompositions:

3 + 1048573 = 1048576
5 + 1048571 = 1048576
17 + 1048559 = 1048576
59 + 1048517 = 1048576
233 + 1048343 = 1048576
359 + 1048217 = 1048576
383 + 1048193 = 1048576
449 + 1048127 = 1048576

Showing the first eight; more decompositions exist.

Hex color

#100000

RGB(16, 0, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.0.0.

Address: 0.16.0.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.0.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 8576 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

8576-04-01 (DMMYYYY (Euro, single-digit day))
8576-10-04 (MMDYYYY (US, single-digit day))
8576-04-10 (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 1,048,576 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 US1,048,576 on Google Patents ↗ Look up on USPTO ↗