Live analysis

1,007,106

1,007,106 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.).

1,007,106 (one million seven thousand one hundred six) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 53 × 3,167. Its proper divisors sum to 1,045,758, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E02.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,094 1,007,095 1,007,096 1,007,097 1,007,098 1,007,099 1,007,100 1,007,101 1,007,102 1,007,103 1,007,104 1,007,105 1,007,106 1,007,107 1,007,108 1,007,109 1,007,110 1,007,111 1,007,112 1,007,113 1,007,114 1,007,115 1,007,116 1,007,117 1,007,118

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 6,017,001
Square (n²): 1,014,262,495,236
Cube (n³): 1,021,469,844,527,147,016
Divisor count: 16
σ(n) — sum of divisors: 2,052,864
φ(n) — Euler's totient: 329,264
Sum of prime factors: 3,225

Primality

Prime factorization: 2 × 3 × 53 × 3167

Nearest primes: 1,007,099 (−7) · 1,007,117 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 53 · 106 · 159 · 318 · 3167 · 6334 · 9501 · 19002 · 167851 · 335702 · 503553 (half) · 1007106

Aliquot sum (sum of proper divisors): 1,045,758

Factor pairs (a × b = 1,007,106)

1 × 1007106

2 × 503553

3 × 335702

6 × 167851

53 × 19002

106 × 9501

159 × 6334

318 × 3167

First multiples

1,007,106 · 2,014,212 (double) · 3,021,318 · 4,028,424 · 5,035,530 · 6,042,636 · 7,049,742 · 8,056,848 · 9,063,954 · 10,071,060

Sums & aliquot sequence

As consecutive integers: 335,701 + 335,702 + 335,703 251,775 + 251,776 + 251,777 + 251,778 83,920 + 83,921 + … + 83,931 18,976 + 18,977 + … + 19,028

Aliquot sequence: 1,007,106 → 1,045,758 → 1,387,914 → 1,820,982 → 1,820,994 → 2,381,502 → 2,472,018 → 2,642,862 → 3,001,938 → 3,148,878 → 3,366,402 → 3,884,478 → 4,482,258 → 5,400,174 → 6,231,138 → 6,231,150 → 10,859,274 — unresolved within range

Continued fraction of √n

√1,007,106 = [1003; (1, 1, 4, 1, 5, 1, 3, 4, 1, 3, 2, 1, 3, 10, 1, 2, 3, 3, 133, 1, 1, 79, 1, 3, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand one hundred six
Ordinal: 1007106th
Binary: 11110101111000000010
Octal: 3657002
Hexadecimal: 0xF5E02
Base64: D14C
One's complement: 4,293,960,189 (32-bit)
Scientific notation: 1.007106 × 10⁶
As a duration: 1,007,106 s = 11 days, 15 hours, 45 minutes, 6 seconds

In other bases

ternary (3) 1220011111020

quaternary (4) 3311320002

quinary (5) 224211411

senary (6) 33330310

septenary (7) 11363112

nonary (9) 1804436

undecimal (11) 628721

duodecimal (12) 406996

tridecimal (13) 293529

tetradecimal (14) 1c3042

pentadecimal (15) 14d606

As an angle

1,007,106° = 2,797 × 360° + 186°

186° ≈ 3.246 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬七千一百零六
Chinese (financial): 壹佰萬柒仟壹佰零陸

In other modern scripts

Eastern Arabic ١٠٠٧١٠٦ Devanagari १००७१०६ Bengali ১০০৭১০৬ Tamil ௧௦௦௭௧௦௬ Thai ๑๐๐๗๑๐๖ Tibetan ༡༠༠༧༡༠༦ Khmer ១០០៧១០៦ Lao ໑໐໐໗໑໐໖ Burmese ၁၀၀၇၁၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007106, here are decompositions:

7 + 1007099 = 1007106
17 + 1007089 = 1007106
47 + 1007059 = 1007106
59 + 1007047 = 1007106
83 + 1007023 = 1007106
127 + 1006979 = 1007106
137 + 1006969 = 1007106
157 + 1006949 = 1007106

Showing the first eight; more decompositions exist.

Hex color

#0F5E02

RGB(15, 94, 2)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.2.

Address: 0.15.94.2
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.2

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 1,007,106 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 US1,007,106 on Google Patents ↗ Look up on USPTO ↗