Live analysis

1,008,048

1,008,048 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.).

1,008,048 (one million eight thousand forty-eight) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 21,001. Its proper divisors sum to 1,596,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF61B0.

Abundant Number Evil Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,008,036 1,008,037 1,008,038 1,008,039 1,008,040 1,008,041 1,008,042 1,008,043 1,008,044 1,008,045 1,008,046 1,008,047 1,008,048 1,008,049 1,008,050 1,008,051 1,008,052 1,008,053 1,008,054 1,008,055 1,008,056 1,008,057 1,008,058 1,008,059 1,008,060

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,408,001
Recamán's sequence: a(349,355) = 1,008,048
Square (n²): 1,016,160,770,304
Cube (n³): 1,024,338,832,183,406,592
Divisor count: 20
σ(n) — sum of divisors: 2,604,248
φ(n) — Euler's totient: 336,000
Sum of prime factors: 21,012

Primality

Prime factorization: 2 ⁴ × 3 × 21001

Nearest primes: 1,008,043 (−5) · 1,008,101 (+53)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 21001 · 42002 · 63003 · 84004 · 126006 · 168008 · 252012 · 336016 · 504024 (half) · 1008048

Aliquot sum (sum of proper divisors): 1,596,200

Factor pairs (a × b = 1,008,048)

1 × 1008048

2 × 504024

3 × 336016

4 × 252012

6 × 168008

8 × 126006

12 × 84004

16 × 63003

24 × 42002

48 × 21001

First multiples

1,008,048 · 2,016,096 (double) · 3,024,144 · 4,032,192 · 5,040,240 · 6,048,288 · 7,056,336 · 8,064,384 · 9,072,432 · 10,080,480

Sums & aliquot sequence

As consecutive integers: 336,015 + 336,016 + 336,017 31,486 + 31,487 + … + 31,517 10,453 + 10,454 + … + 10,548

Aliquot sequence: 1,008,048 → 1,596,200 → 2,287,480 → 3,427,880 → 4,855,180 → 6,666,260 → 7,433,140 → 11,872,076 → 8,904,064 → 10,202,576 → 9,616,468 → 7,769,516 → 5,827,144 → 5,475,956 → 4,106,974 → 2,062,706 → 1,039,594 — unresolved within range

Continued fraction of √n

√1,008,048 = [1004; (62, 1, 3, 125, 3, 1, 62, 2008)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand forty-eight
Ordinal: 1008048th
Binary: 11110110000110110000
Octal: 3660660
Hexadecimal: 0xF61B0
Base64: D2Gw
One's complement: 4,293,959,247 (32-bit)
Scientific notation: 1.008048 × 10⁶
As a duration: 1,008,048 s = 11 days, 16 hours, 48 seconds

In other bases

ternary (3) 1220012210010

quaternary (4) 3312012300

quinary (5) 224224143

senary (6) 33334520

septenary (7) 11365626

nonary (9) 1805703

undecimal (11) 6293a8

duodecimal (12) 407440

tridecimal (13) 293aa2

tetradecimal (14) 1c3516

pentadecimal (15) 14da33

As an angle

1,008,048° = 2,800 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬八千零四十八
Chinese (financial): 壹佰萬捌仟零肆拾捌

In other modern scripts

Eastern Arabic ١٠٠٨٠٤٨ Devanagari १००८०४८ Bengali ১০০৮০৪৮ Tamil ௧௦௦௮௦௪௮ Thai ๑๐๐๘๐๔๘ Tibetan ༡༠༠༨༠༤༨ Khmer ១០០៨០៤៨ Lao ໑໐໐໘໐໔໘ Burmese ၁၀၀၈၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008048, here are decompositions:

5 + 1008043 = 1008048
7 + 1008041 = 1008048
11 + 1008037 = 1008048
17 + 1008031 = 1008048
31 + 1008017 = 1008048
47 + 1008001 = 1008048
71 + 1007977 = 1008048
89 + 1007959 = 1008048

Showing the first eight; more decompositions exist.

Hex color

#0F61B0

RGB(15, 97, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.176.

Address: 0.15.97.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.176

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 1,008,048 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 US1,008,048 on Google Patents ↗ Look up on USPTO ↗