Live analysis

1,013,064

1,013,064 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.).

1,013,064 (one million thirteen thousand sixty-four) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 13 × 17 × 191. Its proper divisors sum to 1,889,976, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7548.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,052 1,013,053 1,013,054 1,013,055 1,013,056 1,013,057 1,013,058 1,013,059 1,013,060 1,013,061 1,013,062 1,013,063 1,013,064 1,013,065 1,013,066 1,013,067 1,013,068 1,013,069 1,013,070 1,013,071 1,013,072 1,013,073 1,013,074 1,013,075 1,013,076

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,603,101
Square (n²): 1,026,298,668,096
Cube (n³): 1,039,706,233,896,006,144
Divisor count: 64
σ(n) — sum of divisors: 2,903,040
φ(n) — Euler's totient: 291,840
Sum of prime factors: 230

Primality

Prime factorization: 2 ³ × 3 × 13 × 17 × 191

Nearest primes: 1,013,063 (−1) · 1,013,143 (+79)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 17 · 24 · 26 · 34 · 39 · 51 · 52 · 68 · 78 · 102 · 104 · 136 · 156 · 191 · 204 · 221 · 312 · 382 · 408 · 442 · 573 · 663 · 764 · 884 · 1146 · 1326 · 1528 · 1768 · 2292 · 2483 · 2652 · 3247 · 4584 · 4966 · 5304 · 6494 · 7449 · 9741 · 9932 · 12988 · 14898 · 19482 · 19864 · 25976 · 29796 · 38964 · 42211 · 59592 · 77928 · 84422 · 126633 · 168844 · 253266 · 337688 · 506532 (half) · 1013064

Aliquot sum (sum of proper divisors): 1,889,976

Factor pairs (a × b = 1,013,064)

1 × 1013064

2 × 506532

3 × 337688

4 × 253266

6 × 168844

8 × 126633

12 × 84422

13 × 77928

17 × 59592

24 × 42211

26 × 38964

34 × 29796

39 × 25976

51 × 19864

52 × 19482

68 × 14898

78 × 12988

102 × 9932

104 × 9741

136 × 7449

156 × 6494

191 × 5304

204 × 4966

221 × 4584

312 × 3247

382 × 2652

408 × 2483

442 × 2292

573 × 1768

663 × 1528

764 × 1326

884 × 1146

First multiples

1,013,064 · 2,026,128 (double) · 3,039,192 · 4,052,256 · 5,065,320 · 6,078,384 · 7,091,448 · 8,104,512 · 9,117,576 · 10,130,640

Sums & aliquot sequence

As consecutive integers: 337,687 + 337,688 + 337,689 77,922 + 77,923 + … + 77,934 63,309 + 63,310 + … + 63,324 59,584 + 59,585 + … + 59,600

Aliquot sequence: 1,013,064 → 1,889,976 → 3,265,224 → 5,599,416 → 8,487,384 → 12,731,136 → 24,784,440 → 49,964,520 → 100,656,600 → 245,392,680 → 547,419,480 → 1,119,374,760 → 2,718,484,440 → 6,602,036,520 → 13,842,991,320 — keeps growing

Continued fraction of √n

√1,013,064 = [1006; (1, 1, 22, 1, 1, 1, 3, 4, 1, 1, 1, 1, 2, 1, 1, 79, 1, 15, 1, 3, 1, 2, 2, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand sixty-four
Ordinal: 1013064th
Binary: 11110111010101001000
Octal: 3672510
Hexadecimal: 0xF7548
Base64: D3VI
One's complement: 4,293,954,231 (32-bit)
Scientific notation: 1.013064 × 10⁶
As a duration: 1,013,064 s = 11 days, 17 hours, 24 minutes, 24 seconds

In other bases

ternary (3) 1220110122220

quaternary (4) 3313111020

quinary (5) 224404224

senary (6) 33414040

septenary (7) 11416353

nonary (9) 1813586

undecimal (11) 632148

duodecimal (12) 40a320

tridecimal (13) 296160

tetradecimal (14) 1c529a

pentadecimal (15) 150279

As an angle

1,013,064° = 2,814 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千零六十四
Chinese (financial): 壹佰零壹萬參仟零陸拾肆

In other modern scripts

Eastern Arabic ١٠١٣٠٦٤ Devanagari १०१३०६४ Bengali ১০১৩০৬৪ Tamil ௧௦௧௩௦௬௪ Thai ๑๐๑๓๐๖๔ Tibetan ༡༠༡༣༠༦༤ Khmer ១០១៣០៦៤ Lao ໑໐໑໓໐໖໔ Burmese ၁၀၁၃၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013064, here are decompositions:

11 + 1013053 = 1013064
23 + 1013041 = 1013064
61 + 1013003 = 1013064
67 + 1012997 = 1013064
71 + 1012993 = 1013064
83 + 1012981 = 1013064
97 + 1012967 = 1013064
233 + 1012831 = 1013064

Showing the first eight; more decompositions exist.

Hex color

#0F7548

RGB(15, 117, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.72.

Address: 0.15.117.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.72

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3064 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3064-10-01 (MMDYYYY (US, single-digit day))
3064-01-10 (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 1,013,064 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 US1,013,064 on Google Patents ↗ Look up on USPTO ↗