Live analysis

1,000,648

1,000,648 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.).

1,000,648 (one million six hundred forty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 83 × 137. Its proper divisors sum to 1,085,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF44C8.

Abundant Number Arithmetic Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,000,636 1,000,637 1,000,638 1,000,639 1,000,640 1,000,641 1,000,642 1,000,643 1,000,644 1,000,645 1,000,646 1,000,647 1,000,648 1,000,649 1,000,650 1,000,651 1,000,652 1,000,653 1,000,654 1,000,655 1,000,656 1,000,657 1,000,658 1,000,659 1,000,660

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 8,460,001
Square (n²): 1,001,296,419,904
Cube (n³): 1,001,945,259,984,097,792
Divisor count: 32
σ(n) — sum of divisors: 2,086,560
φ(n) — Euler's totient: 446,080
Sum of prime factors: 237

Primality

Prime factorization: 2 ³ × 11 × 83 × 137

Nearest primes: 1,000,639 (−9) · 1,000,651 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 11 · 22 · 44 · 83 · 88 · 137 · 166 · 274 · 332 · 548 · 664 · 913 · 1096 · 1507 · 1826 · 3014 · 3652 · 6028 · 7304 · 11371 · 12056 · 22742 · 45484 · 90968 · 125081 · 250162 · 500324 (half) · 1000648

Aliquot sum (sum of proper divisors): 1,085,912

Factor pairs (a × b = 1,000,648)

1 × 1000648

2 × 500324

4 × 250162

8 × 125081

11 × 90968

22 × 45484

44 × 22742

83 × 12056

88 × 11371

137 × 7304

166 × 6028

274 × 3652

332 × 3014

548 × 1826

664 × 1507

913 × 1096

First multiples

1,000,648 · 2,001,296 (double) · 3,001,944 · 4,002,592 · 5,003,240 · 6,003,888 · 7,004,536 · 8,005,184 · 9,005,832 · 10,006,480

Sums & aliquot sequence

As consecutive integers: 90,963 + 90,964 + … + 90,973 62,533 + 62,534 + … + 62,548 12,015 + 12,016 + … + 12,097 7,236 + 7,237 + … + 7,372

Aliquot sequence: 1,000,648 → 1,085,912 → 966,088 → 857,492 → 643,126 → 518,090 → 425,398 → 216,194 → 150,142 → 80,690 → 64,570 → 62,438 → 31,222 → 16,514 → 9,406 → 4,706 → 2,938 — unresolved within range

Continued fraction of √n

√1,000,648 = [1000; (3, 11, 1, 1, 50, 1, 3, 2, 50, 1, 5, 1, 6, 1, 3, 222, 27, 1, 3, 1, 1, 2, 5, 3, …)]

Representations

In words: one million six hundred forty-eight
Ordinal: 1000648th
Binary: 11110100010011001000
Octal: 3642310
Hexadecimal: 0xF44C8
Base64: D0TI
One's complement: 4,293,966,647 (32-bit)
Scientific notation: 1.000648 × 10⁶
As a duration: 1,000,648 s = 11 days, 13 hours, 57 minutes, 28 seconds

In other bases

ternary (3) 1212211122001

quaternary (4) 3310103020

quinary (5) 224010043

senary (6) 33240344

septenary (7) 11335225

nonary (9) 1784561

undecimal (11) 623890

duodecimal (12) 4030b4

tridecimal (13) 2905cc

tetradecimal (14) 1c094c

pentadecimal (15) 14b74d

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬零六百四十八
Chinese (financial): 壹佰萬零陸佰肆拾捌

In other modern scripts

Eastern Arabic ١٠٠٠٦٤٨ Devanagari १०००६४८ Bengali ১০০০৬৪৮ Tamil ௧௦௦௦௬௪௮ Thai ๑๐๐๐๖๔๘ Tibetan ༡༠༠༠༦༤༨ Khmer ១០០០៦៤៨ Lao ໑໐໐໐໖໔໘ Burmese ၁၀၀၀၆၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000648, here are decompositions:

29 + 1000619 = 1000648
59 + 1000589 = 1000648
71 + 1000577 = 1000648
101 + 1000547 = 1000648
107 + 1000541 = 1000648
191 + 1000457 = 1000648
239 + 1000409 = 1000648
251 + 1000397 = 1000648

Showing the first eight; more decompositions exist.

Hex color

#0F44C8

RGB(15, 68, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.68.200.

Address: 0.15.68.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.68.200

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 1,000,648 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 US1,000,648 on Google Patents ↗ Look up on USPTO ↗