Live analysis

1,013,164

1,013,164 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.).

1,013,164 (one million thirteen thousand one hundred sixty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 241 × 1,051. Written other ways, in hexadecimal, 0xF75AC.

Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,013,152 1,013,153 1,013,154 1,013,155 1,013,156 1,013,157 1,013,158 1,013,159 1,013,160 1,013,161 1,013,162 1,013,163 1,013,164 1,013,165 1,013,166 1,013,167 1,013,168 1,013,169 1,013,170 1,013,171 1,013,172 1,013,173 1,013,174 1,013,175 1,013,176

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Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 4,613,101
Square (n²): 1,026,501,290,896
Cube (n³): 1,040,014,153,889,354,944
Divisor count: 12
σ(n) — sum of divisors: 1,782,088
φ(n) — Euler's totient: 504,000
Sum of prime factors: 1,296

Primality

Prime factorization: 2 ² × 241 × 1051

Nearest primes: 1,013,153 (−11) · 1,013,197 (+33)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 241 · 482 · 964 · 1051 · 2102 · 4204 · 253291 · 506582 (half) · 1013164

Aliquot sum (sum of proper divisors): 768,924

Factor pairs (a × b = 1,013,164)

1 × 1013164

2 × 506582

4 × 253291

241 × 4204

482 × 2102

964 × 1051

First multiples

1,013,164 · 2,026,328 (double) · 3,039,492 · 4,052,656 · 5,065,820 · 6,078,984 · 7,092,148 · 8,105,312 · 9,118,476 · 10,131,640

Sums & aliquot sequence

As consecutive integers: 126,642 + 126,643 + … + 126,649 4,084 + 4,085 + … + 4,324 439 + 440 + … + 1,489

Aliquot sequence: 1,013,164 → 768,924 → 1,432,548 → 2,468,440 → 3,700,520 → 4,749,400 → 6,293,420 → 8,811,124 → 8,978,956 → 9,624,020 → 13,473,964 → 16,567,124 → 17,274,796 → 20,416,340 → 30,259,852 → 31,340,960 → 53,282,656 — unresolved within range

Continued fraction of √n

√1,013,164 = [1006; (1, 1, 3, 1, 1, 1, 2, 1, 2, 3, 1, 8, 50, 4, 1, 2, 18, 3, 1, 1, 6, 1, 6, 19, …)]

Representations

In words: one million thirteen thousand one hundred sixty-four
Ordinal: 1013164th
Binary: 11110111010110101100
Octal: 3672654
Hexadecimal: 0xF75AC
Base64: D3Ws
One's complement: 4,293,954,131 (32-bit)
Scientific notation: 1.013164 × 10⁶
As a duration: 1,013,164 s = 11 days, 17 hours, 26 minutes, 4 seconds

In other bases

ternary (3) 1220110210121

quaternary (4) 3313112230

quinary (5) 224410124

senary (6) 33414324

septenary (7) 11416555

nonary (9) 1813717

undecimal (11) 632229

duodecimal (12) 40a3a4

tridecimal (13) 296209

tetradecimal (14) 1c532c

pentadecimal (15) 1502e4

As an angle

1,013,164° = 2,814 × 360° + 124°

124° ≈ 2.164 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千一百六十四
Chinese (financial): 壹佰零壹萬參仟壹佰陸拾肆

In other modern scripts

Eastern Arabic ١٠١٣١٦٤ Devanagari १०१३१६४ Bengali ১০১৩১৬৪ Tamil ௧௦௧௩௧௬௪ Thai ๑๐๑๓๑๖๔ Tibetan ༡༠༡༣༡༦༤ Khmer ១០១៣១៦៤ Lao ໑໐໑໓໑໖໔ Burmese ၁၀၁၃၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013164, here are decompositions:

11 + 1013153 = 1013164
101 + 1013063 = 1013164
167 + 1012997 = 1013164
197 + 1012967 = 1013164
233 + 1012931 = 1013164
353 + 1012811 = 1013164
401 + 1012763 = 1013164
431 + 1012733 = 1013164

Showing the first eight; more decompositions exist.

Hex color

#0F75AC

RGB(15, 117, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.172.

Address: 0.15.117.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.172

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3164 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3164-10-01 (MMDYYYY (US, single-digit day))
3164-01-10 (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 1,013,164 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 US1,013,164 on Google Patents ↗ Look up on USPTO ↗