Live analysis

1,013,116

1,013,116 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.).

1,013,116 (one million thirteen thousand one hundred sixteen) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 19,483. Written other ways, in hexadecimal, 0xF757C.

Cube-Free Deficient Number Evil Number Happy Number Harshad / Niven

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,104 1,013,105 1,013,106 1,013,107 1,013,108 1,013,109 1,013,110 1,013,111 1,013,112 1,013,113 1,013,114 1,013,115 1,013,116 1,013,117 1,013,118 1,013,119 1,013,120 1,013,121 1,013,122 1,013,123 1,013,124 1,013,125 1,013,126 1,013,127 1,013,128

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 6,113,101
Square (n²): 1,026,404,029,456
Cube (n³): 1,039,866,344,706,344,896
Divisor count: 12
σ(n) — sum of divisors: 1,909,432
φ(n) — Euler's totient: 467,568
Sum of prime factors: 19,500

Primality

Prime factorization: 2 ² × 13 × 19483

Nearest primes: 1,013,063 (−53) · 1,013,143 (+27)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 13 · 26 · 52 · 19483 · 38966 · 77932 · 253279 · 506558 (half) · 1013116

Aliquot sum (sum of proper divisors): 896,316

Factor pairs (a × b = 1,013,116)

1 × 1013116

2 × 506558

4 × 253279

13 × 77932

26 × 38966

52 × 19483

First multiples

1,013,116 · 2,026,232 (double) · 3,039,348 · 4,052,464 · 5,065,580 · 6,078,696 · 7,091,812 · 8,104,928 · 9,118,044 · 10,131,160

Sums & aliquot sequence

As consecutive integers: 126,636 + 126,637 + … + 126,643 77,926 + 77,927 + … + 77,938 9,690 + 9,691 + … + 9,793

Aliquot sequence: 1,013,116 → 896,316 → 1,216,788 → 1,622,412 → 3,134,340 → 7,244,028 → 12,895,364 → 10,652,860 → 12,490,820 → 13,739,944 → 14,426,456 → 16,105,144 → 17,040,056 → 19,334,344 → 17,180,456 → 15,076,984 → 16,423,016 — unresolved within range

Continued fraction of √n

√1,013,116 = [1006; (1, 1, 6, 3, 11, 2, 1, 1, 2, 2, 3, 1, 1, 1, 5, 6, 1, 7, 1, 3, 1, 1, 8, 1, …)]

Representations

In words: one million thirteen thousand one hundred sixteen
Ordinal: 1013116th
Binary: 11110111010101111100
Octal: 3672574
Hexadecimal: 0xF757C
Base64: D3V8
One's complement: 4,293,954,179 (32-bit)
Scientific notation: 1.013116 × 10⁶
As a duration: 1,013,116 s = 11 days, 17 hours, 25 minutes, 16 seconds

In other bases

ternary (3) 1220110201211

quaternary (4) 3313111330

quinary (5) 224404431

senary (6) 33414204

septenary (7) 11416456

nonary (9) 1813654

undecimal (11) 632195

duodecimal (12) 40a364

tridecimal (13) 2961a0

tetradecimal (14) 1c52d6

pentadecimal (15) 1502b1

As an angle

1,013,116° = 2,814 × 360° + 76°

76° ≈ 1.326 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千一百一十六
Chinese (financial): 壹佰零壹萬參仟壹佰壹拾陸

In other modern scripts

Eastern Arabic ١٠١٣١١٦ Devanagari १०१३११६ Bengali ১০১৩১১৬ Tamil ௧௦௧௩௧௧௬ Thai ๑๐๑๓๑๑๖ Tibetan ༡༠༡༣༡༡༦ Khmer ១០១៣១១៦ Lao ໑໐໑໓໑໑໖ Burmese ၁၀၁၃၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013116, here are decompositions:

53 + 1013063 = 1013116
107 + 1013009 = 1013116
113 + 1013003 = 1013116
149 + 1012967 = 1013116
197 + 1012919 = 1013116
347 + 1012769 = 1013116
353 + 1012763 = 1013116
383 + 1012733 = 1013116

Showing the first eight; more decompositions exist.

Hex color

#0F757C

RGB(15, 117, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.124.

Address: 0.15.117.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.124

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3116 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3116-10-01 (MMDYYYY (US, single-digit day))
3116-01-10 (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 1,013,116 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 US1,013,116 on Google Patents ↗ Look up on USPTO ↗