Live analysis

1,013,010

1,013,010 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.).

1,013,010 (one million thirteen thousand ten) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 33,767. Its proper divisors sum to 1,418,286, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7512.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Self Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,012,998 1,012,999 1,013,000 1,013,001 1,013,002 1,013,003 1,013,004 1,013,005 1,013,006 1,013,007 1,013,008 1,013,009 1,013,010 1,013,011 1,013,012 1,013,013 1,013,014 1,013,015 1,013,016 1,013,017 1,013,018 1,013,019 1,013,020 1,013,021 1,013,022

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 103,101
Square (n²): 1,026,189,260,100
Cube (n³): 1,039,539,982,373,901,000
Divisor count: 16
σ(n) — sum of divisors: 2,431,296
φ(n) — Euler's totient: 270,128
Sum of prime factors: 33,777

Primality

Prime factorization: 2 × 3 × 5 × 33767

Nearest primes: 1,013,009 (−1) · 1,013,029 (+19)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 33767 · 67534 · 101301 · 168835 · 202602 · 337670 · 506505 (half) · 1013010

Aliquot sum (sum of proper divisors): 1,418,286

Factor pairs (a × b = 1,013,010)

1 × 1013010

2 × 506505

3 × 337670

5 × 202602

6 × 168835

10 × 101301

15 × 67534

30 × 33767

First multiples

1,013,010 · 2,026,020 (double) · 3,039,030 · 4,052,040 · 5,065,050 · 6,078,060 · 7,091,070 · 8,104,080 · 9,117,090 · 10,130,100

Sums & aliquot sequence

As consecutive integers: 337,669 + 337,670 + 337,671 253,251 + 253,252 + 253,253 + 253,254 202,600 + 202,601 + 202,602 + 202,603 + 202,604 84,412 + 84,413 + … + 84,423

Aliquot sequence: 1,013,010 → 1,418,286 → 1,418,298 → 1,823,622 → 1,823,634 → 2,263,020 → 4,073,604 → 5,431,500 → 12,966,516 → 19,810,046 → 11,469,034 → 6,100,694 → 3,245,194 → 1,622,600 → 2,990,200 → 3,962,480 → 5,250,472 — unresolved within range

Continued fraction of √n

√1,013,010 = [1006; (2, 15, 9, 1, 1, 3, 4, 4, 2, 1, 5, 3, 6, 1, 5, 1, 1, 1, 1, 3, 1, 2, 2, 25, …)]

Representations

In words: one million thirteen thousand ten
Ordinal: 1013010th
Binary: 11110111010100010010
Octal: 3672422
Hexadecimal: 0xF7512
Base64: D3US
One's complement: 4,293,954,285 (32-bit)
Scientific notation: 1.01301 × 10⁶
As a duration: 1,013,010 s = 11 days, 17 hours, 23 minutes, 30 seconds

In other bases

ternary (3) 1220110120220

quaternary (4) 3313110102

quinary (5) 224404020

senary (6) 33413510

septenary (7) 11416245

nonary (9) 1813526

undecimal (11) 6320a9

duodecimal (12) 40a296

tridecimal (13) 29611b

tetradecimal (14) 1c525c

pentadecimal (15) 150240

As an angle

1,013,010° = 2,813 × 360° + 330°

330° ≈ 5.76 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆
Chinese: 一百零一萬三千零一十
Chinese (financial): 壹佰零壹萬參仟零壹拾

In other modern scripts

Eastern Arabic ١٠١٣٠١٠ Devanagari १०१३०१० Bengali ১০১৩০১০ Tamil ௧௦௧௩௦௧௦ Thai ๑๐๑๓๐๑๐ Tibetan ༡༠༡༣༠༡༠ Khmer ១០១៣០១០ Lao ໑໐໑໓໐໑໐ Burmese ၁၀၁၃၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013010, here are decompositions:

7 + 1013003 = 1013010
13 + 1012997 = 1013010
17 + 1012993 = 1013010
29 + 1012981 = 1013010
43 + 1012967 = 1013010
79 + 1012931 = 1013010
107 + 1012903 = 1013010
149 + 1012861 = 1013010

Showing the first eight; more decompositions exist.

Hex color

#0F7512

RGB(15, 117, 18)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.18.

Address: 0.15.117.18
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.18

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3010 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3010-10-01 (MMDYYYY (US, single-digit day))
3010-01-10 (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 1,013,010 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 US1,013,010 on Google Patents ↗ Look up on USPTO ↗