Live analysis

1,013,106

1,013,106 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.).

1,013,106 (one million thirteen thousand one hundred six) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 168,851. Its proper divisors sum to 1,013,118, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7572.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,094 1,013,095 1,013,096 1,013,097 1,013,098 1,013,099 1,013,100 1,013,101 1,013,102 1,013,103 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 6,013,101
Square (n²): 1,026,383,767,236
Cube (n³): 1,039,835,552,889,395,016
Divisor count: 8
σ(n) — sum of divisors: 2,026,224
φ(n) — Euler's totient: 337,700
Sum of prime factors: 168,856

Primality

Prime factorization: 2 × 3 × 168851

Nearest primes: 1,013,063 (−43) · 1,013,143 (+37)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 168851 · 337702 · 506553 (half) · 1013106

Aliquot sum (sum of proper divisors): 1,013,118

Factor pairs (a × b = 1,013,106)

1 × 1013106

2 × 506553

3 × 337702

6 × 168851

First multiples

1,013,106 · 2,026,212 (double) · 3,039,318 · 4,052,424 · 5,065,530 · 6,078,636 · 7,091,742 · 8,104,848 · 9,117,954 · 10,131,060

Sums & aliquot sequence

As consecutive integers: 337,701 + 337,702 + 337,703 253,275 + 253,276 + 253,277 + 253,278 84,420 + 84,421 + … + 84,431

Aliquot sequence: 1,013,106 → 1,013,118 → 1,120,002 → 1,335,486 → 1,492,818 → 1,544,142 → 1,619,970 → 2,622,270 → 4,570,818 → 6,094,782 → 8,057,538 → 9,400,500 → 20,269,140 → 36,703,020 → 67,080,660 → 120,745,356 → 186,957,060 — unresolved within range

Continued fraction of √n

√1,013,106 = [1006; (1, 1, 7, 2, 1, 1, 6, 2, 1, 7, 1, 2, 30, 1, 1, 1, 1, 1, 10, 3, 1, 8, 3, 1, …)]

Representations

In words: one million thirteen thousand one hundred six
Ordinal: 1013106th
Binary: 11110111010101110010
Octal: 3672562
Hexadecimal: 0xF7572
Base64: D3Vy
One's complement: 4,293,954,189 (32-bit)
Scientific notation: 1.013106 × 10⁶
As a duration: 1,013,106 s = 11 days, 17 hours, 25 minutes, 6 seconds

In other bases

ternary (3) 1220110201110

quaternary (4) 3313111302

quinary (5) 224404411

senary (6) 33414150

septenary (7) 11416443

nonary (9) 1813643

undecimal (11) 632186

duodecimal (12) 40a356

tridecimal (13) 296193

tetradecimal (14) 1c52ca

pentadecimal (15) 1502a6

As an angle

1,013,106° = 2,814 × 360° + 66°

66° ≈ 1.152 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千一百零六
Chinese (financial): 壹佰零壹萬參仟壹佰零陸

In other modern scripts

Eastern Arabic ١٠١٣١٠٦ Devanagari १०१३१०६ Bengali ১০১৩১০৬ Tamil ௧௦௧௩௧௦௬ Thai ๑๐๑๓๑๐๖ Tibetan ༡༠༡༣༡༠༦ Khmer ១០១៣១០៦ Lao ໑໐໑໓໑໐໖ Burmese ၁၀၁၃၁၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013106, here are decompositions:

43 + 1013063 = 1013106
53 + 1013053 = 1013106
97 + 1013009 = 1013106
103 + 1013003 = 1013106
109 + 1012997 = 1013106
113 + 1012993 = 1013106
139 + 1012967 = 1013106
277 + 1012829 = 1013106

Showing the first eight; more decompositions exist.

Hex color

#0F7572

RGB(15, 117, 114)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.114.

Address: 0.15.117.114
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.114

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3106 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3106-10-01 (MMDYYYY (US, single-digit day))
3106-01-10 (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 1,013,106 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 US1,013,106 on Google Patents ↗ Look up on USPTO ↗