Live analysis

1,013,506

1,013,506 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.).

1,013,506 (one million thirteen thousand five hundred six) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 17 × 2,293. Written other ways, in hexadecimal, 0xF7702.

Cube-Free Deficient Number Odious Number Pernicious Number Self Number Squarefree

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,494 1,013,495 1,013,496 1,013,497 1,013,498 1,013,499 1,013,500 1,013,501 1,013,502 1,013,503 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 6,053,101
Square (n²): 1,027,194,412,036
Cube (n³): 1,041,067,699,764,958,216
Divisor count: 16
σ(n) — sum of divisors: 1,734,264
φ(n) — Euler's totient: 440,064
Sum of prime factors: 2,325

Primality

Prime factorization: 2 × 13 × 17 × 2293

Nearest primes: 1,013,503 (−3) · 1,013,527 (+21)

Divisors & multiples

All divisors (16)

1 · 2 · 13 · 17 · 26 · 34 · 221 · 442 · 2293 · 4586 · 29809 · 38981 · 59618 · 77962 · 506753 (half) · 1013506

Aliquot sum (sum of proper divisors): 720,758

Factor pairs (a × b = 1,013,506)

1 × 1013506

2 × 506753

13 × 77962

17 × 59618

26 × 38981

34 × 29809

221 × 4586

442 × 2293

First multiples

1,013,506 · 2,027,012 (double) · 3,040,518 · 4,054,024 · 5,067,530 · 6,081,036 · 7,094,542 · 8,108,048 · 9,121,554 · 10,135,060

Sums & aliquot sequence

As a sum of two squares: 59² + 1,005² = 441² + 905² = 525² + 859² = 591² + 815²

As consecutive integers: 253,375 + 253,376 + 253,377 + 253,378 77,956 + 77,957 + … + 77,968 59,610 + 59,611 + … + 59,626 19,465 + 19,466 + … + 19,516

Aliquot sequence: 1,013,506 → 720,758 → 363,994 → 182,000 → 359,632 → 548,048 → 513,826 → 264,314 → 132,160 → 233,600 → 351,370 → 297,278 → 148,642 → 91,514 → 45,760 → 82,256 → 81,796 — unresolved within range

Continued fraction of √n

√1,013,506 = [1006; (1, 2, 1, 2, 2, 3, 8, 1, 1, 1, 10, 2, 1, 6, 1, 3, 1, 1, 4, 118, 4, 1, 1, 3, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand five hundred six
Ordinal: 1013506th
Binary: 11110111011100000010
Octal: 3673402
Hexadecimal: 0xF7702
Base64: D3cC
One's complement: 4,293,953,789 (32-bit)
Scientific notation: 1.013506 × 10⁶
As a duration: 1,013,506 s = 11 days, 17 hours, 31 minutes, 46 seconds

In other bases

ternary (3) 1220111021021

quaternary (4) 3313130002

quinary (5) 224413011

senary (6) 33420054

septenary (7) 11420554

nonary (9) 1814237

undecimal (11) 63250a

duodecimal (12) 40a62a

tridecimal (13) 296410

tetradecimal (14) 1c54d4

pentadecimal (15) 150471

As an angle

1,013,506° = 2,815 × 360° + 106°

106° ≈ 1.85 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千五百零六
Chinese (financial): 壹佰零壹萬參仟伍佰零陸

In other modern scripts

Eastern Arabic ١٠١٣٥٠٦ Devanagari १०१३५०६ Bengali ১০১৩৫০৬ Tamil ௧௦௧௩௫௦௬ Thai ๑๐๑๓๕๐๖ Tibetan ༡༠༡༣༥༠༦ Khmer ១០១៣៥០៦ Lao ໑໐໑໓໕໐໖ Burmese ၁၀၁၃၅၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013506, here are decompositions:

3 + 1013503 = 1013506
5 + 1013501 = 1013506
29 + 1013477 = 1013506
107 + 1013399 = 1013506
227 + 1013279 = 1013506
239 + 1013267 = 1013506
257 + 1013249 = 1013506
269 + 1013237 = 1013506

Showing the first eight; more decompositions exist.

Hex color

#0F7702

RGB(15, 119, 2)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.2.

Address: 0.15.119.2
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.2

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3506 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3506-10-01 (MMDYYYY (US, single-digit day))
3506-01-10 (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 1,013,506 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 US1,013,506 on Google Patents ↗ Look up on USPTO ↗