Live analysis

1,013,712

1,013,712 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.).

1,013,712 (one million thirteen thousand seven hundred twelve) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 7² × 431. Its proper divisors sum to 2,039,664, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF77D0.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,700 1,013,701 1,013,702 1,013,703 1,013,704 1,013,705 1,013,706 1,013,707 1,013,708 1,013,709 1,013,710 1,013,711 1,013,712 1,013,713 1,013,714 1,013,715 1,013,716 1,013,717 1,013,718 1,013,719 1,013,720 1,013,721 1,013,722 1,013,723 1,013,724

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,173,101
Square (n²): 1,027,612,018,944
Cube (n³): 1,041,702,634,947,760,128
Divisor count: 60
σ(n) — sum of divisors: 3,053,376
φ(n) — Euler's totient: 288,960
Sum of prime factors: 456

Primality

Prime factorization: 2 ⁴ × 3 × 7 ² × 431

Nearest primes: 1,013,711 (−1) · 1,013,713 (+1)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 42 · 48 · 49 · 56 · 84 · 98 · 112 · 147 · 168 · 196 · 294 · 336 · 392 · 431 · 588 · 784 · 862 · 1176 · 1293 · 1724 · 2352 · 2586 · 3017 · 3448 · 5172 · 6034 · 6896 · 9051 · 10344 · 12068 · 18102 · 20688 · 21119 · 24136 · 36204 · 42238 · 48272 · 63357 · 72408 · 84476 · 126714 · 144816 · 168952 · 253428 · 337904 · 506856 (half) · 1013712

Aliquot sum (sum of proper divisors): 2,039,664

Factor pairs (a × b = 1,013,712)

1 × 1013712

2 × 506856

3 × 337904

4 × 253428

6 × 168952

7 × 144816

8 × 126714

12 × 84476

14 × 72408

16 × 63357

21 × 48272

24 × 42238

28 × 36204

42 × 24136

48 × 21119

49 × 20688

56 × 18102

84 × 12068

98 × 10344

112 × 9051

147 × 6896

168 × 6034

196 × 5172

294 × 3448

336 × 3017

392 × 2586

431 × 2352

588 × 1724

784 × 1293

862 × 1176

First multiples

1,013,712 · 2,027,424 (double) · 3,041,136 · 4,054,848 · 5,068,560 · 6,082,272 · 7,095,984 · 8,109,696 · 9,123,408 · 10,137,120

Sums & aliquot sequence

As consecutive integers: 337,903 + 337,904 + 337,905 144,813 + 144,814 + … + 144,819 48,262 + 48,263 + … + 48,282 31,663 + 31,664 + … + 31,694

Aliquot sequence: 1,013,712 → 2,039,664 → 3,709,968 → 5,874,240 → 13,511,040 → 31,140,480 → 84,674,400 → 190,948,584 → 287,370,456 → 431,055,744 → 945,699,456 → 1,772,070,144 → 3,528,528,768 → 6,646,399,632 → 12,243,016,368 — keeps growing

Continued fraction of √n

√1,013,712 = [1006; (1, 4, 1, 40, 3, 1, 4, 1, 1, 40, 1, 1, 4, 1, 3, 40, 1, 4, 1, 2012)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand seven hundred twelve
Ordinal: 1013712th
Binary: 11110111011111010000
Octal: 3673720
Hexadecimal: 0xF77D0
Base64: D3fQ
One's complement: 4,293,953,583 (32-bit)
Scientific notation: 1.013712 × 10⁶
As a duration: 1,013,712 s = 11 days, 17 hours, 35 minutes, 12 seconds

In other bases

ternary (3) 1220111112220

quaternary (4) 3313133100

quinary (5) 224414322

senary (6) 33421040

septenary (7) 11421300

nonary (9) 1814486

undecimal (11) 632687

duodecimal (12) 40a780

tridecimal (13) 29653b

tetradecimal (14) 1c5600

pentadecimal (15) 15055c

As an angle

1,013,712° = 2,815 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Chinese: 一百零一萬三千七百一十二
Chinese (financial): 壹佰零壹萬參仟柒佰壹拾貳

In other modern scripts

Eastern Arabic ١٠١٣٧١٢ Devanagari १०१३७१२ Bengali ১০১৩৭১২ Tamil ௧௦௧௩௭௧௨ Thai ๑๐๑๓๗๑๒ Tibetan ༡༠༡༣༧༡༢ Khmer ១០១៣៧១២ Lao ໑໐໑໓໗໑໒ Burmese ၁၀၁၃၇၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013712, here are decompositions:

13 + 1013699 = 1013712
31 + 1013681 = 1013712
41 + 1013671 = 1013712
71 + 1013641 = 1013712
83 + 1013629 = 1013712
103 + 1013609 = 1013712
109 + 1013603 = 1013712
131 + 1013581 = 1013712

Showing the first eight; more decompositions exist.

Hex color

#0F77D0

RGB(15, 119, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.208.

Address: 0.15.119.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3712 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3712-10-01 (MMDYYYY (US, single-digit day))
3712-01-10 (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 1,013,712 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 US1,013,712 on Google Patents ↗ Look up on USPTO ↗