Live analysis

1,013,124

1,013,124 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.).

1,013,124 (one million thirteen thousand one hundred twenty-four) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 7² × 1,723. Its proper divisors sum to 1,738,380, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7584.

Abundant Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 1,013,125 1,013,126 1,013,127 1,013,128 1,013,129 1,013,130 1,013,131 1,013,132 1,013,133 1,013,134 1,013,135 1,013,136

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,213,101
Square (n²): 1,026,420,239,376
Cube (n³): 1,039,890,978,597,570,624
Divisor count: 36
σ(n) — sum of divisors: 2,751,504
φ(n) — Euler's totient: 289,296
Sum of prime factors: 1,744

Primality

Prime factorization: 2 ² × 3 × 7 ² × 1723

Nearest primes: 1,013,063 (−61) · 1,013,143 (+19)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 49 · 84 · 98 · 147 · 196 · 294 · 588 · 1723 · 3446 · 5169 · 6892 · 10338 · 12061 · 20676 · 24122 · 36183 · 48244 · 72366 · 84427 · 144732 · 168854 · 253281 · 337708 · 506562 (half) · 1013124

Aliquot sum (sum of proper divisors): 1,738,380

Factor pairs (a × b = 1,013,124)

1 × 1013124

2 × 506562

3 × 337708

4 × 253281

6 × 168854

7 × 144732

12 × 84427

14 × 72366

21 × 48244

28 × 36183

42 × 24122

49 × 20676

84 × 12061

98 × 10338

147 × 6892

196 × 5169

294 × 3446

588 × 1723

First multiples

1,013,124 · 2,026,248 (double) · 3,039,372 · 4,052,496 · 5,065,620 · 6,078,744 · 7,091,868 · 8,104,992 · 9,118,116 · 10,131,240

Sums & aliquot sequence

As consecutive integers: 337,707 + 337,708 + 337,709 144,729 + 144,730 + … + 144,735 126,637 + 126,638 + … + 126,644 48,234 + 48,235 + … + 48,254

Aliquot sequence: 1,013,124 → 1,738,380 → 3,825,780 → 8,418,060 → 23,515,380 → 60,108,300 → 171,439,380 → 429,108,204 → 716,576,532 → 1,255,942,380 → 3,128,454,420 → 8,099,730,156 → 13,742,258,964 — keeps growing

Continued fraction of √n

√1,013,124 = [1006; (1, 1, 5, 1, 1, 1, 9, 1, 5, 9, 1, 2, 3, 7, 1, 1, 3, 2, 1, 2, 2, 2, 1, 6, …)]

Representations

In words: one million thirteen thousand one hundred twenty-four
Ordinal: 1013124th
Binary: 11110111010110000100
Octal: 3672604
Hexadecimal: 0xF7584
Base64: D3WE
One's complement: 4,293,954,171 (32-bit)
Scientific notation: 1.013124 × 10⁶
As a duration: 1,013,124 s = 11 days, 17 hours, 25 minutes, 24 seconds

In other bases

ternary (3) 1220110202010

quaternary (4) 3313112010

quinary (5) 224404444

senary (6) 33414220

septenary (7) 11416500

nonary (9) 1813663

undecimal (11) 6321a2

duodecimal (12) 40a370

tridecimal (13) 2961a8

tetradecimal (14) 1c5300

pentadecimal (15) 1502b9

As an angle

1,013,124° = 2,814 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千一百二十四
Chinese (financial): 壹佰零壹萬參仟壹佰貳拾肆

In other modern scripts

Eastern Arabic ١٠١٣١٢٤ Devanagari १०१३१२४ Bengali ১০১৩১২৪ Tamil ௧௦௧௩௧௨௪ Thai ๑๐๑๓๑๒๔ Tibetan ༡༠༡༣༡༢༤ Khmer ១០១៣១២៤ Lao ໑໐໑໓໑໒໔ Burmese ၁၀၁၃၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013124, here are decompositions:

61 + 1013063 = 1013124
71 + 1013053 = 1013124
83 + 1013041 = 1013124
127 + 1012997 = 1013124
131 + 1012993 = 1013124
157 + 1012967 = 1013124
193 + 1012931 = 1013124
263 + 1012861 = 1013124

Showing the first eight; more decompositions exist.

Hex color

#0F7584

RGB(15, 117, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.132.

Address: 0.15.117.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.132

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3124 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3124-10-01 (MMDYYYY (US, single-digit day))
3124-01-10 (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 1,013,124 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 US1,013,124 on Google Patents ↗ Look up on USPTO ↗