Live analysis

1,013,112

1,013,112 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.).

1,013,112 (one million thirteen thousand one hundred twelve) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 14,071. Its proper divisors sum to 1,730,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7578.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 1,013,119 1,013,120 1,013,121 1,013,122 1,013,123 1,013,124

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,113,101
Square (n²): 1,026,395,924,544
Cube (n³): 1,039,854,027,906,620,928
Divisor count: 24
σ(n) — sum of divisors: 2,744,040
φ(n) — Euler's totient: 337,680
Sum of prime factors: 14,083

Primality

Prime factorization: 2 ³ × 3 ² × 14071

Nearest primes: 1,013,063 (−49) · 1,013,143 (+31)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 14071 · 28142 · 42213 · 56284 · 84426 · 112568 · 126639 · 168852 · 253278 · 337704 · 506556 (half) · 1013112

Aliquot sum (sum of proper divisors): 1,730,928

Factor pairs (a × b = 1,013,112)

1 × 1013112

2 × 506556

3 × 337704

4 × 253278

6 × 168852

8 × 126639

9 × 112568

12 × 84426

18 × 56284

24 × 42213

36 × 28142

72 × 14071

First multiples

1,013,112 · 2,026,224 (double) · 3,039,336 · 4,052,448 · 5,065,560 · 6,078,672 · 7,091,784 · 8,104,896 · 9,118,008 · 10,131,120

Sums & aliquot sequence

As consecutive integers: 337,703 + 337,704 + 337,705 112,564 + 112,565 + … + 112,572 63,312 + 63,313 + … + 63,327 21,083 + 21,084 + … + 21,130

Aliquot sequence: 1,013,112 → 1,730,928 → 2,740,760 → 3,987,640 → 5,064,920 → 7,959,880 → 9,949,940 → 19,007,884 → 19,687,136 → 24,947,104 → 35,926,016 → 48,113,644 → 36,148,380 → 67,428,324 → 113,659,310 → 92,423,266 → 61,559,822 — unresolved within range

Continued fraction of √n

√1,013,112 = [1006; (1, 1, 6, 1, 2, 1, 1, 22, 3, 3, 6, 4, 4, 16, 2, 2, 35, 1, 1, 5, 42, 1, 1, 1, …)]

Representations

In words: one million thirteen thousand one hundred twelve
Ordinal: 1013112th
Binary: 11110111010101111000
Octal: 3672570
Hexadecimal: 0xF7578
Base64: D3V4
One's complement: 4,293,954,183 (32-bit)
Scientific notation: 1.013112 × 10⁶
As a duration: 1,013,112 s = 11 days, 17 hours, 25 minutes, 12 seconds

In other bases

ternary (3) 1220110201200

quaternary (4) 3313111320

quinary (5) 224404422

senary (6) 33414200

septenary (7) 11416452

nonary (9) 1813650

undecimal (11) 632191

duodecimal (12) 40a360

tridecimal (13) 296199

tetradecimal (14) 1c52d2

pentadecimal (15) 1502ac

Palindromic in base 5

As an angle

1,013,112° = 2,814 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Chinese: 一百零一萬三千一百一十二
Chinese (financial): 壹佰零壹萬參仟壹佰壹拾貳

In other modern scripts

Eastern Arabic ١٠١٣١١٢ Devanagari १०१३११२ Bengali ১০১৩১১২ Tamil ௧௦௧௩௧௧௨ Thai ๑๐๑๓๑๑๒ Tibetan ༡༠༡༣༡༡༢ Khmer ១០១៣១១២ Lao ໑໐໑໓໑໑໒ Burmese ၁၀၁၃၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013112, here are decompositions:

59 + 1013053 = 1013112
71 + 1013041 = 1013112
83 + 1013029 = 1013112
103 + 1013009 = 1013112
109 + 1013003 = 1013112
131 + 1012981 = 1013112
181 + 1012931 = 1013112
193 + 1012919 = 1013112

Showing the first eight; more decompositions exist.

Hex color

#0F7578

RGB(15, 117, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.120.

Address: 0.15.117.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.120

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3112 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3112-10-01 (MMDYYYY (US, single-digit day))
3112-01-10 (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 1,013,112 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 US1,013,112 on Google Patents ↗ Look up on USPTO ↗