Live analysis

1,007,064

1,007,064 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.).

1,007,064 (one million seven thousand sixty-four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 71 × 197. Its proper divisors sum to 1,772,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5DD8.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

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 1,007,061 1,007,062 1,007,063 1,007,064 1,007,065 1,007,066 1,007,067 1,007,068 1,007,069 1,007,070 1,007,071 1,007,072 1,007,073 1,007,074 1,007,075 1,007,076

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,607,001
Square (n²): 1,014,177,900,096
Cube (n³): 1,021,342,052,782,278,144
Divisor count: 48
σ(n) — sum of divisors: 2,779,920
φ(n) — Euler's totient: 329,280
Sum of prime factors: 280

Primality

Prime factorization: 2 ³ × 3 ² × 71 × 197

Nearest primes: 1,007,059 (−5) · 1,007,081 (+17)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 71 · 72 · 142 · 197 · 213 · 284 · 394 · 426 · 568 · 591 · 639 · 788 · 852 · 1182 · 1278 · 1576 · 1704 · 1773 · 2364 · 2556 · 3546 · 4728 · 5112 · 7092 · 13987 · 14184 · 27974 · 41961 · 55948 · 83922 · 111896 · 125883 · 167844 · 251766 · 335688 · 503532 (half) · 1007064

Aliquot sum (sum of proper divisors): 1,772,856

Factor pairs (a × b = 1,007,064)

1 × 1007064

2 × 503532

3 × 335688

4 × 251766

6 × 167844

8 × 125883

9 × 111896

12 × 83922

18 × 55948

24 × 41961

36 × 27974

71 × 14184

72 × 13987

142 × 7092

197 × 5112

213 × 4728

284 × 3546

394 × 2556

426 × 2364

568 × 1773

591 × 1704

639 × 1576

788 × 1278

852 × 1182

First multiples

1,007,064 · 2,014,128 (double) · 3,021,192 · 4,028,256 · 5,035,320 · 6,042,384 · 7,049,448 · 8,056,512 · 9,063,576 · 10,070,640

Sums & aliquot sequence

As consecutive integers: 335,687 + 335,688 + 335,689 111,892 + 111,893 + … + 111,900 62,934 + 62,935 + … + 62,949 20,957 + 20,958 + … + 21,004

Aliquot sequence: 1,007,064 → 1,772,856 → 3,028,824 → 5,956,776 → 12,912,984 → 27,057,336 → 47,212,104 → 70,818,216 → 132,671,064 → 199,006,656 → 327,532,296 → 680,266,104 → 1,263,351,816 → 2,280,428,424 → 4,054,095,576 → 7,387,856,424 → 14,983,209,216 — keeps growing

Continued fraction of √n

√1,007,064 = [1003; (1, 1, 9, 5, 9, 3, 1, 2, 5, 1, 1, 1, 2, 4, 5, 1, 3, 4, 1, 1, 1, 4, 1, 10, …)]

Representations

In words: one million seven thousand sixty-four
Ordinal: 1007064th
Binary: 11110101110111011000
Octal: 3656730
Hexadecimal: 0xF5DD8
Base64: D13Y
One's complement: 4,293,960,231 (32-bit)
Scientific notation: 1.007064 × 10⁶
As a duration: 1,007,064 s = 11 days, 15 hours, 44 minutes, 24 seconds

In other bases

ternary (3) 1220011102200

quaternary (4) 3311313120

quinary (5) 224211224

senary (6) 33330200

septenary (7) 11363022

nonary (9) 1804380

undecimal (11) 628693

duodecimal (12) 406960

tridecimal (13) 2934c6

tetradecimal (14) 1c3012

pentadecimal (15) 14d5c9

As an angle

1,007,064° = 2,797 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬七千零六十四
Chinese (financial): 壹佰萬柒仟零陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٧٠٦٤ Devanagari १००७०६४ Bengali ১০০৭০৬৪ Tamil ௧௦௦௭௦௬௪ Thai ๑๐๐๗๐๖๔ Tibetan ༡༠༠༧༠༦༤ Khmer ១០០៧០៦៤ Lao ໑໐໐໗໐໖໔ Burmese ၁၀၀၇၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007064, here are decompositions:

5 + 1007059 = 1007064
17 + 1007047 = 1007064
41 + 1007023 = 1007064
43 + 1007021 = 1007064
73 + 1006991 = 1007064
127 + 1006937 = 1007064
131 + 1006933 = 1007064
167 + 1006897 = 1007064

Showing the first eight; more decompositions exist.

Hex color

#0F5DD8

RGB(15, 93, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.216.

Address: 0.15.93.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.216

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 1,007,064 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 US1,007,064 on Google Patents ↗ Look up on USPTO ↗