Live analysis

1,001,112

1,001,112 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.).

1,001,112 (one million one thousand one hundred twelve) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 7 × 59 × 101. Its proper divisors sum to 1,936,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4698.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 1,001,119 1,001,120 1,001,121 1,001,122 1,001,123 1,001,124

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,111,001
Square (n²): 1,002,225,236,544
Cube (n³): 1,003,339,711,007,036,928
Divisor count: 64
σ(n) — sum of divisors: 2,937,600
φ(n) — Euler's totient: 278,400
Sum of prime factors: 176

Primality

Prime factorization: 2 ³ × 3 × 7 × 59 × 101

Nearest primes: 1,001,107 (−5) · 1,001,123 (+11)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 42 · 56 · 59 · 84 · 101 · 118 · 168 · 177 · 202 · 236 · 303 · 354 · 404 · 413 · 472 · 606 · 707 · 708 · 808 · 826 · 1212 · 1239 · 1414 · 1416 · 1652 · 2121 · 2424 · 2478 · 2828 · 3304 · 4242 · 4956 · 5656 · 5959 · 8484 · 9912 · 11918 · 16968 · 17877 · 23836 · 35754 · 41713 · 47672 · 71508 · 83426 · 125139 · 143016 · 166852 · 250278 · 333704 · 500556 (half) · 1001112

Aliquot sum (sum of proper divisors): 1,936,488

Factor pairs (a × b = 1,001,112)

1 × 1001112

2 × 500556

3 × 333704

4 × 250278

6 × 166852

7 × 143016

8 × 125139

12 × 83426

14 × 71508

21 × 47672

24 × 41713

28 × 35754

42 × 23836

56 × 17877

59 × 16968

84 × 11918

101 × 9912

118 × 8484

168 × 5959

177 × 5656

202 × 4956

236 × 4242

303 × 3304

354 × 2828

404 × 2478

413 × 2424

472 × 2121

606 × 1652

707 × 1416

708 × 1414

808 × 1239

826 × 1212

First multiples

1,001,112 · 2,002,224 (double) · 3,003,336 · 4,004,448 · 5,005,560 · 6,006,672 · 7,007,784 · 8,008,896 · 9,010,008 · 10,011,120

Sums & aliquot sequence

As consecutive integers: 333,703 + 333,704 + 333,705 143,013 + 143,014 + … + 143,019 62,562 + 62,563 + … + 62,577 47,662 + 47,663 + … + 47,682

Aliquot sequence: 1,001,112 → 1,936,488 → 2,904,792 → 5,018,088 → 7,868,472 → 11,802,768 → 20,486,832 → 33,442,752 → 68,970,048 → 143,335,344 → 239,077,680 → 502,063,872 → 926,839,296 → 1,764,293,148 → 2,695,447,956 → 3,593,930,636 → 3,151,388,644 — unresolved within range

Continued fraction of √n

√1,001,112 = [1000; (1, 1, 3, 1, 41, 1, 3, 1, 41, 1, 3, 1, 1, 2000)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million one thousand one hundred twelve
Ordinal: 1001112th
Binary: 11110100011010011000
Octal: 3643230
Hexadecimal: 0xF4698
Base64: D0aY
One's complement: 4,293,966,183 (32-bit)
Scientific notation: 1.001112 × 10⁶
As a duration: 1,001,112 s = 11 days, 14 hours, 5 minutes, 12 seconds

In other bases

ternary (3) 1212212021020

quaternary (4) 3310122120

quinary (5) 224013422

senary (6) 33242440

septenary (7) 11336460

nonary (9) 1785236

undecimal (11) 624172

duodecimal (12) 403420

tridecimal (13) 290898

tetradecimal (14) 1c0ba0

pentadecimal (15) 14b95c

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓎆𓏺𓏺
Chinese: 一百萬一千一百一十二
Chinese (financial): 壹佰萬壹仟壹佰壹拾貳

In other modern scripts

Eastern Arabic ١٠٠١١١٢ Devanagari १००१११२ Bengali ১০০১১১২ Tamil ௧௦௦௧௧௧௨ Thai ๑๐๐๑๑๑๒ Tibetan ༡༠༠༡༡༡༢ Khmer ១០០១១១២ Lao ໑໐໐໑໑໑໒ Burmese ၁၀၀၁၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001112, here are decompositions:

5 + 1001107 = 1001112
19 + 1001093 = 1001112
23 + 1001089 = 1001112
31 + 1001081 = 1001112
43 + 1001069 = 1001112
71 + 1001041 = 1001112
89 + 1001023 = 1001112
109 + 1001003 = 1001112

Showing the first eight; more decompositions exist.

Hex color

#0F4698

RGB(15, 70, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.152.

Address: 0.15.70.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.152

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 1,001,112 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 US1,001,112 on Google Patents ↗ Look up on USPTO ↗