Live analysis

1,013,516

1,013,516 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.).

1,013,516 (one million thirteen thousand five hundred sixteen) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 7² × 5,171. Its proper divisors sum to 1,050,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF770C.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,504 1,013,505 1,013,506 1,013,507 1,013,508 1,013,509 1,013,510 1,013,511 1,013,512 1,013,513 1,013,514 1,013,515 1,013,516 1,013,517 1,013,518 1,013,519 1,013,520 1,013,521 1,013,522 1,013,523 1,013,524 1,013,525 1,013,526 1,013,527 1,013,528

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 6,153,101
Square (n²): 1,027,214,682,256
Cube (n³): 1,041,098,515,901,372,096
Divisor count: 18
σ(n) — sum of divisors: 2,063,628
φ(n) — Euler's totient: 434,280
Sum of prime factors: 5,189

Primality

Prime factorization: 2 ² × 7 ² × 5171

Nearest primes: 1,013,503 (−13) · 1,013,527 (+11)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 7 · 14 · 28 · 49 · 98 · 196 · 5171 · 10342 · 20684 · 36197 · 72394 · 144788 · 253379 · 506758 (half) · 1013516

Aliquot sum (sum of proper divisors): 1,050,112

Factor pairs (a × b = 1,013,516)

1 × 1013516

2 × 506758

4 × 253379

7 × 144788

14 × 72394

28 × 36197

49 × 20684

98 × 10342

196 × 5171

First multiples

1,013,516 · 2,027,032 (double) · 3,040,548 · 4,054,064 · 5,067,580 · 6,081,096 · 7,094,612 · 8,108,128 · 9,121,644 · 10,135,160

Sums & aliquot sequence

As consecutive integers: 144,785 + 144,786 + … + 144,791 126,686 + 126,687 + … + 126,693 20,660 + 20,661 + … + 20,708 18,071 + 18,072 + … + 18,126

Aliquot sequence: 1,013,516 → 1,050,112 → 1,355,984 → 1,646,800 → 2,504,720 → 3,387,760 → 5,290,256 → 4,959,646 → 2,871,434 → 1,576,438 → 798,194 → 399,100 → 536,604 → 731,124 → 1,199,532 → 1,599,404 → 1,199,560 — unresolved within range

Continued fraction of √n

√1,013,516 = [1006; (1, 2, 1, 3, 1, 1, 36, 20, 9, 3, 5, 1, 2, 1, 8, 2, 2, 2, 1, 4, 2, 7, 1, 3, …)]

Representations

In words: one million thirteen thousand five hundred sixteen
Ordinal: 1013516th
Binary: 11110111011100001100
Octal: 3673414
Hexadecimal: 0xF770C
Base64: D3cM
One's complement: 4,293,953,779 (32-bit)
Scientific notation: 1.013516 × 10⁶
As a duration: 1,013,516 s = 11 days, 17 hours, 31 minutes, 56 seconds

In other bases

ternary (3) 1220111021122

quaternary (4) 3313130030

quinary (5) 224413031

senary (6) 33420112

septenary (7) 11420600

nonary (9) 1814248

undecimal (11) 632519

duodecimal (12) 40a638

tridecimal (13) 29641a

tetradecimal (14) 1c5500

pentadecimal (15) 15047b

As an angle

1,013,516° = 2,815 × 360° + 116°

116° ≈ 2.025 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千五百一十六
Chinese (financial): 壹佰零壹萬參仟伍佰壹拾陸

In other modern scripts

Eastern Arabic ١٠١٣٥١٦ Devanagari १०१३५१६ Bengali ১০১৩৫১৬ Tamil ௧௦௧௩௫௧௬ Thai ๑๐๑๓๕๑๖ Tibetan ༡༠༡༣༥༡༦ Khmer ១០១៣៥១៦ Lao ໑໐໑໓໕໑໖ Burmese ၁၀၁၃၅၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013516, here are decompositions:

13 + 1013503 = 1013516
139 + 1013377 = 1013516
277 + 1013239 = 1013516
313 + 1013203 = 1013516
373 + 1013143 = 1013516
463 + 1013053 = 1013516
487 + 1013029 = 1013516
523 + 1012993 = 1013516

Showing the first eight; more decompositions exist.

Hex color

#0F770C

RGB(15, 119, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.12.

Address: 0.15.119.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.12

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3516 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3516-10-01 (MMDYYYY (US, single-digit day))
3516-01-10 (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 1,013,516 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 US1,013,516 on Google Patents ↗ Look up on USPTO ↗