Live analysis

1,007,048

1,007,048 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.).

1,007,048 (one million seven thousand forty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7³ × 367. Its proper divisors sum to 1,200,952, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5DC8.

Abundant Number Arithmetic Number Evil Number Happy Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,036 1,007,037 1,007,038 1,007,039 1,007,040 1,007,041 1,007,042 1,007,043 1,007,044 1,007,045 1,007,046 1,007,047 1,007,048 1,007,049 1,007,050 1,007,051 1,007,052 1,007,053 1,007,054 1,007,055 1,007,056 1,007,057 1,007,058 1,007,059 1,007,060

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 8,407,001
Square (n²): 1,014,145,674,304
Cube (n³): 1,021,293,373,016,494,592
Divisor count: 32
σ(n) — sum of divisors: 2,208,000
φ(n) — Euler's totient: 430,416
Sum of prime factors: 394

Primality

Prime factorization: 2 ³ × 7 ³ × 367

Nearest primes: 1,007,047 (−1) · 1,007,059 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 49 · 56 · 98 · 196 · 343 · 367 · 392 · 686 · 734 · 1372 · 1468 · 2569 · 2744 · 2936 · 5138 · 10276 · 17983 · 20552 · 35966 · 71932 · 125881 · 143864 · 251762 · 503524 (half) · 1007048

Aliquot sum (sum of proper divisors): 1,200,952

Factor pairs (a × b = 1,007,048)

1 × 1007048

2 × 503524

4 × 251762

7 × 143864

8 × 125881

14 × 71932

28 × 35966

49 × 20552

56 × 17983

98 × 10276

196 × 5138

343 × 2936

367 × 2744

392 × 2569

686 × 1468

734 × 1372

First multiples

1,007,048 · 2,014,096 (double) · 3,021,144 · 4,028,192 · 5,035,240 · 6,042,288 · 7,049,336 · 8,056,384 · 9,063,432 · 10,070,480

Sums & aliquot sequence

As consecutive integers: 143,861 + 143,862 + … + 143,867 62,933 + 62,934 + … + 62,948 20,528 + 20,529 + … + 20,576 8,936 + 8,937 + … + 9,047

Aliquot sequence: 1,007,048 → 1,200,952 → 1,169,648 → 1,153,120 → 1,571,504 → 1,750,456 → 1,798,424 → 1,656,496 → 1,722,504 → 3,199,416 → 5,526,984 → 8,290,536 → 13,527,864 → 31,400,136 → 58,507,704 → 106,804,296 → 182,457,534 — unresolved within range

Continued fraction of √n

√1,007,048 = [1003; (1, 1, 13, 1, 1, 6, 1, 1, 1, 1, 1, 40, 2, 1, 28, 1, 5, 2, 19, 40, 1, 9, 1, 13, …)]

Representations

In words: one million seven thousand forty-eight
Ordinal: 1007048th
Binary: 11110101110111001000
Octal: 3656710
Hexadecimal: 0xF5DC8
Base64: D13I
One's complement: 4,293,960,247 (32-bit)
Scientific notation: 1.007048 × 10⁶
As a duration: 1,007,048 s = 11 days, 15 hours, 44 minutes, 8 seconds

In other bases

ternary (3) 1220011102002

quaternary (4) 3311313020

quinary (5) 224211143

senary (6) 33330132

septenary (7) 11363000

nonary (9) 1804362

undecimal (11) 628679

duodecimal (12) 406948

tridecimal (13) 2934b3

tetradecimal (14) 1c3000

pentadecimal (15) 14d5b8

As an angle

1,007,048° = 2,797 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬七千零四十八
Chinese (financial): 壹佰萬柒仟零肆拾捌

In other modern scripts

Eastern Arabic ١٠٠٧٠٤٨ Devanagari १००७०४८ Bengali ১০০৭০৪৮ Tamil ௧௦௦௭௦௪௮ Thai ๑๐๐๗๐๔๘ Tibetan ༡༠༠༧༠༤༨ Khmer ១០០៧០៤៨ Lao ໑໐໐໗໐໔໘ Burmese ၁၀၀၇၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007048, here are decompositions:

61 + 1006987 = 1007048
79 + 1006969 = 1007048
151 + 1006897 = 1007048
157 + 1006891 = 1007048
337 + 1006711 = 1007048
397 + 1006651 = 1007048
439 + 1006609 = 1007048
541 + 1006507 = 1007048

Showing the first eight; more decompositions exist.

Hex color

#0F5DC8

RGB(15, 93, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.200.

Address: 0.15.93.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.200

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 1,007,048 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 US1,007,048 on Google Patents ↗ Look up on USPTO ↗