Live analysis

1,001,106

1,001,106 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.).

1,001,106 (one million one thousand one hundred six) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 18,539. Its proper divisors sum to 1,223,694, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4692.

Abundant Number Arithmetic Number Evil Number Flippable Harshad / Niven Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,094 1,001,095 1,001,096 1,001,097 1,001,098 1,001,099 1,001,100 1,001,101 1,001,102 1,001,103 1,001,104 1,001,105 1,001,106 1,001,107 1,001,108 1,001,109 1,001,110 1,001,111 1,001,112 1,001,113 1,001,114 1,001,115 1,001,116 1,001,117 1,001,118

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,011,001
Flips to (rotate 180°): 9,011,001
Square (n²): 1,002,213,223,236
Cube (n³): 1,003,321,671,060,899,016
Divisor count: 16
σ(n) — sum of divisors: 2,224,800
φ(n) — Euler's totient: 333,684
Sum of prime factors: 18,550

Primality

Prime factorization: 2 × 3 ³ × 18539

Nearest primes: 1,001,093 (−13) · 1,001,107 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 18539 · 37078 · 55617 · 111234 · 166851 · 333702 · 500553 (half) · 1001106

Aliquot sum (sum of proper divisors): 1,223,694

Factor pairs (a × b = 1,001,106)

1 × 1001106

2 × 500553

3 × 333702

6 × 166851

9 × 111234

18 × 55617

27 × 37078

54 × 18539

First multiples

1,001,106 · 2,002,212 (double) · 3,003,318 · 4,004,424 · 5,005,530 · 6,006,636 · 7,007,742 · 8,008,848 · 9,009,954 · 10,011,060

Sums & aliquot sequence

As consecutive integers: 333,701 + 333,702 + 333,703 250,275 + 250,276 + 250,277 + 250,278 111,230 + 111,231 + … + 111,238 83,420 + 83,421 + … + 83,431

Aliquot sequence: 1,001,106 → 1,223,694 → 1,817,586 → 2,274,894 → 2,760,786 → 4,075,758 → 5,173,482 → 5,623,638 → 6,112,938 → 7,192,662 → 7,235,178 → 7,289,718 → 7,645,818 → 8,545,542 → 8,545,554 → 11,446,446 → 13,527,762 — unresolved within range

Continued fraction of √n

√1,001,106 = [1000; (1, 1, 4, 4, 2, 1, 39, 3, 48, 2, 10, 3, 9, 2, 1, 1, 3, 1, 6, 5, 3, 1, 4, 1, …)]

Representations

In words: one million one thousand one hundred six
Ordinal: 1001106th
Binary: 11110100011010010010
Octal: 3643222
Hexadecimal: 0xF4692
Base64: D0aS
One's complement: 4,293,966,189 (32-bit)
Scientific notation: 1.001106 × 10⁶
As a duration: 1,001,106 s = 11 days, 14 hours, 5 minutes, 6 seconds

In other bases

ternary (3) 1212212021000

quaternary (4) 3310122102

quinary (5) 224013411

senary (6) 33242430

septenary (7) 11336451

nonary (9) 1785230

undecimal (11) 624167

duodecimal (12) 403416

tridecimal (13) 290892

tetradecimal (14) 1c0b98

pentadecimal (15) 14b956

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千一百零六
Chinese (financial): 壹佰萬壹仟壹佰零陸

In other modern scripts

Eastern Arabic ١٠٠١١٠٦ Devanagari १००११०६ Bengali ১০০১১০৬ Tamil ௧௦௦௧௧௦௬ Thai ๑๐๐๑๑๐๖ Tibetan ༡༠༠༡༡༠༦ Khmer ១០០១១០៦ Lao ໑໐໐໑໑໐໖ Burmese ၁၀၀၁၁၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001106, here are decompositions:

13 + 1001093 = 1001106
17 + 1001089 = 1001106
19 + 1001087 = 1001106
37 + 1001069 = 1001106
79 + 1001027 = 1001106
83 + 1001023 = 1001106
89 + 1001017 = 1001106
103 + 1001003 = 1001106

Showing the first eight; more decompositions exist.

Hex color

#0F4692

RGB(15, 70, 146)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.146.

Address: 0.15.70.146
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.146

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 1,001,106 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 US1,001,106 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1001106 first appears in π at position 291,910 of the decimal expansion (the 291,910ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1001106 on Pi Search ↗