Live analysis

1,013,016

1,013,016 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.).

1,013,016 (one million thirteen thousand sixteen) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 42,209. Its proper divisors sum to 1,519,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7518.

Abundant Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

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 1,013,023 1,013,024 1,013,025 1,013,026 1,013,027 1,013,028

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 6,103,101
Square (n²): 1,026,201,416,256
Cube (n³): 1,039,558,453,889,988,096
Divisor count: 16
σ(n) — sum of divisors: 2,532,600
φ(n) — Euler's totient: 337,664
Sum of prime factors: 42,218

Primality

Prime factorization: 2 ³ × 3 × 42209

Nearest primes: 1,013,009 (−7) · 1,013,029 (+13)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 42209 · 84418 · 126627 · 168836 · 253254 · 337672 · 506508 (half) · 1013016

Aliquot sum (sum of proper divisors): 1,519,584

Factor pairs (a × b = 1,013,016)

1 × 1013016

2 × 506508

3 × 337672

4 × 253254

6 × 168836

8 × 126627

12 × 84418

24 × 42209

First multiples

1,013,016 · 2,026,032 (double) · 3,039,048 · 4,052,064 · 5,065,080 · 6,078,096 · 7,091,112 · 8,104,128 · 9,117,144 · 10,130,160

Sums & aliquot sequence

As consecutive integers: 337,671 + 337,672 + 337,673 63,306 + 63,307 + … + 63,321 21,081 + 21,082 + … + 21,128

Aliquot sequence: 1,013,016 → 1,519,584 → 2,834,976 → 4,607,088 → 7,590,048 → 12,334,080 → 31,291,584 → 52,589,376 → 119,695,776 → 218,000,352 → 354,250,824 → 556,033,656 → 834,050,544 → 1,322,551,008 → 2,486,126,592 → 5,350,065,408 → 10,075,498,746 — keeps growing

Continued fraction of √n

√1,013,016 = [1006; (2, 18, 1, 2, 23, 1, 1, 1, 1, 1, 100, 41, 14, 19, 10, 80, 2, 2, 1, 1, 1, 1, 7, 1, …)]

Representations

In words: one million thirteen thousand sixteen
Ordinal: 1013016th
Binary: 11110111010100011000
Octal: 3672430
Hexadecimal: 0xF7518
Base64: D3UY
One's complement: 4,293,954,279 (32-bit)
Scientific notation: 1.013016 × 10⁶
As a duration: 1,013,016 s = 11 days, 17 hours, 23 minutes, 36 seconds

In other bases

ternary (3) 1220110121010

quaternary (4) 3313110120

quinary (5) 224404031

senary (6) 33413520

septenary (7) 11416254

nonary (9) 1813533

undecimal (11) 632104

duodecimal (12) 40a2a0

tridecimal (13) 296124

tetradecimal (14) 1c5264

pentadecimal (15) 150246

As an angle

1,013,016° = 2,813 × 360° + 336°

336° ≈ 5.864 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千零一十六
Chinese (financial): 壹佰零壹萬參仟零壹拾陸

In other modern scripts

Eastern Arabic ١٠١٣٠١٦ Devanagari १०१३०१६ Bengali ১০১৩০১৬ Tamil ௧௦௧௩௦௧௬ Thai ๑๐๑๓๐๑๖ Tibetan ༡༠༡༣༠༡༦ Khmer ១០១៣០១៦ Lao ໑໐໑໓໐໑໖ Burmese ၁၀၁၃၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013016, here are decompositions:

7 + 1013009 = 1013016
13 + 1013003 = 1013016
19 + 1012997 = 1013016
23 + 1012993 = 1013016
97 + 1012919 = 1013016
113 + 1012903 = 1013016
227 + 1012789 = 1013016
283 + 1012733 = 1013016

Showing the first eight; more decompositions exist.

Hex color

#0F7518

RGB(15, 117, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.24.

Address: 0.15.117.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.24

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3016-10-01 (MMDYYYY (US, single-digit day))
3016-01-10 (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 1,013,016 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 US1,013,016 on Google Patents ↗ Look up on USPTO ↗