Live analysis

1,013,616

1,013,616 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.).

1,013,616 (one million thirteen thousand six hundred sixteen) is an even 7-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 7,039. Its proper divisors sum to 1,823,504, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7770.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,604 1,013,605 1,013,606 1,013,607 1,013,608 1,013,609 1,013,610 1,013,611 1,013,612 1,013,613 1,013,614 1,013,615 1,013,616 1,013,617 1,013,618 1,013,619 1,013,620 1,013,621 1,013,622 1,013,623 1,013,624 1,013,625 1,013,626 1,013,627 1,013,628

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,163,101
Square (n²): 1,027,417,395,456
Cube (n³): 1,041,406,710,712,528,896
Divisor count: 30
σ(n) — sum of divisors: 2,837,120
φ(n) — Euler's totient: 337,824
Sum of prime factors: 7,053

Primality

Prime factorization: 2 ⁴ × 3 ² × 7039

Nearest primes: 1,013,609 (−7) · 1,013,627 (+11)

Divisors & multiples

All divisors (30)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 7039 · 14078 · 21117 · 28156 · 42234 · 56312 · 63351 · 84468 · 112624 · 126702 · 168936 · 253404 · 337872 · 506808 (half) · 1013616

Aliquot sum (sum of proper divisors): 1,823,504

Factor pairs (a × b = 1,013,616)

1 × 1013616

2 × 506808

3 × 337872

4 × 253404

6 × 168936

8 × 126702

9 × 112624

12 × 84468

16 × 63351

18 × 56312

24 × 42234

36 × 28156

48 × 21117

72 × 14078

144 × 7039

First multiples

1,013,616 · 2,027,232 (double) · 3,040,848 · 4,054,464 · 5,068,080 · 6,081,696 · 7,095,312 · 8,108,928 · 9,122,544 · 10,136,160

Sums & aliquot sequence

As consecutive integers: 337,871 + 337,872 + 337,873 112,620 + 112,621 + … + 112,628 31,660 + 31,661 + … + 31,691 10,511 + 10,512 + … + 10,606

Aliquot sequence: 1,013,616 → 1,823,504 → 1,709,566 → 868,394 → 510,874 → 451,514 → 322,534 → 161,270 → 129,034 → 66,266 → 39,034 → 21,626 → 13,798 → 6,902 → 6,058 → 3,770 → 3,790 — unresolved within range

Continued fraction of √n

√1,013,616 = [1006; (1, 3, 1, 1, 1, 6, 3, 12, 3, 1, 2, 1, 5, 3, 1, 1, 1, 1, 3, 4, 1, 3, 8, 1, …)]

Representations

In words: one million thirteen thousand six hundred sixteen
Ordinal: 1013616th
Binary: 11110111011101110000
Octal: 3673560
Hexadecimal: 0xF7770
Base64: D3dw
One's complement: 4,293,953,679 (32-bit)
Scientific notation: 1.013616 × 10⁶
As a duration: 1,013,616 s = 11 days, 17 hours, 33 minutes, 36 seconds

In other bases

ternary (3) 1220111102100

quaternary (4) 3313131300

quinary (5) 224413431

senary (6) 33420400

septenary (7) 11421102

nonary (9) 1814370

undecimal (11) 6325aa

duodecimal (12) 40a700

tridecimal (13) 296496

tetradecimal (14) 1c5572

pentadecimal (15) 1504e6

As an angle

1,013,616° = 2,815 × 360° + 216°

216° ≈ 3.77 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千六百一十六
Chinese (financial): 壹佰零壹萬參仟陸佰壹拾陸

In other modern scripts

Eastern Arabic ١٠١٣٦١٦ Devanagari १०१३६१६ Bengali ১০১৩৬১৬ Tamil ௧௦௧௩௬௧௬ Thai ๑๐๑๓๖๑๖ Tibetan ༡༠༡༣༦༡༦ Khmer ១០១៣៦១៦ Lao ໑໐໑໓໖໑໖ Burmese ၁၀၁၃၆၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013616, here are decompositions:

7 + 1013609 = 1013616
13 + 1013603 = 1013616
47 + 1013569 = 1013616
53 + 1013563 = 1013616
83 + 1013533 = 1013616
89 + 1013527 = 1013616
113 + 1013503 = 1013616
139 + 1013477 = 1013616

Showing the first eight; more decompositions exist.

Hex color

#0F7770

RGB(15, 119, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.112.

Address: 0.15.119.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3616 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3616-10-01 (MMDYYYY (US, single-digit day))
3616-01-10 (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 1,013,616 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 US1,013,616 on Google Patents ↗ Look up on USPTO ↗