Live analysis

1,013,350

1,013,350 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.).

1,013,350 (one million thirteen thousand three hundred fifty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 5² × 13 × 1,559. Its proper divisors sum to 1,017,770, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7666.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,013,338 1,013,339 1,013,340 1,013,341 1,013,342 1,013,343 1,013,344 1,013,345 1,013,346 1,013,347 1,013,348 1,013,349 1,013,350 1,013,351 1,013,352 1,013,353 1,013,354 1,013,355 1,013,356 1,013,357 1,013,358 1,013,359 1,013,360 1,013,361 1,013,362

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 533,101
Square (n²): 1,026,878,222,500
Cube (n³): 1,040,587,046,770,375,000
Divisor count: 24
σ(n) — sum of divisors: 2,031,120
φ(n) — Euler's totient: 373,920
Sum of prime factors: 1,584

Primality

Prime factorization: 2 × 5 ² × 13 × 1559

Nearest primes: 1,013,329 (−21) · 1,013,377 (+27)

Divisors & multiples

All divisors (24)

1 · 2 · 5 · 10 · 13 · 25 · 26 · 50 · 65 · 130 · 325 · 650 · 1559 · 3118 · 7795 · 15590 · 20267 · 38975 · 40534 · 77950 · 101335 · 202670 · 506675 (half) · 1013350

Aliquot sum (sum of proper divisors): 1,017,770

Factor pairs (a × b = 1,013,350)

1 × 1013350

2 × 506675

5 × 202670

10 × 101335

13 × 77950

25 × 40534

26 × 38975

50 × 20267

65 × 15590

130 × 7795

325 × 3118

650 × 1559

First multiples

1,013,350 · 2,026,700 (double) · 3,040,050 · 4,053,400 · 5,066,750 · 6,080,100 · 7,093,450 · 8,106,800 · 9,120,150 · 10,133,500

Sums & aliquot sequence

As consecutive integers: 253,336 + 253,337 + 253,338 + 253,339 202,668 + 202,669 + 202,670 + 202,671 + 202,672 77,944 + 77,945 + … + 77,956 50,658 + 50,659 + … + 50,677

Aliquot sequence: 1,013,350 → 1,017,770 → 955,390 → 764,330 → 842,710 → 857,642 → 432,790 → 355,178 → 177,592 → 160,808 → 140,722 → 73,550 → 63,346 → 36,734 → 18,370 → 17,918 → 11,554 — unresolved within range

Continued fraction of √n

√1,013,350 = [1006; (1, 1, 1, 7, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 4, 12, 2, 4, 1, 1, 3, …)]

Representations

In words: one million thirteen thousand three hundred fifty
Ordinal: 1013350th
Binary: 11110111011001100110
Octal: 3673146
Hexadecimal: 0xF7666
Base64: D3Zm
One's complement: 4,293,953,945 (32-bit)
Scientific notation: 1.01335 × 10⁶
As a duration: 1,013,350 s = 11 days, 17 hours, 29 minutes, 10 seconds

In other bases

ternary (3) 1220111001111

quaternary (4) 3313121212

quinary (5) 224411400

senary (6) 33415234

septenary (7) 11420242

nonary (9) 1814044

undecimal (11) 632388

duodecimal (12) 40a51a

tridecimal (13) 296320

tetradecimal (14) 1c5422

pentadecimal (15) 1503ba

As an angle

1,013,350° = 2,814 × 360° + 310°

310° ≈ 5.411 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千三百五十
Chinese (financial): 壹佰零壹萬參仟參佰伍拾

In other modern scripts

Eastern Arabic ١٠١٣٣٥٠ Devanagari १०१३३५० Bengali ১০১৩৩৫০ Tamil ௧௦௧௩௩௫௦ Thai ๑๐๑๓๓๕๐ Tibetan ༡༠༡༣༣༥༠ Khmer ១០១៣៣៥០ Lao ໑໐໑໓໓໕໐ Burmese ၁၀၁၃၃၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013350, here are decompositions:

29 + 1013321 = 1013350
59 + 1013291 = 1013350
71 + 1013279 = 1013350
83 + 1013267 = 1013350
101 + 1013249 = 1013350
113 + 1013237 = 1013350
197 + 1013153 = 1013350
347 + 1013003 = 1013350

Showing the first eight; more decompositions exist.

Hex color

#0F7666

RGB(15, 118, 102)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.102.

Address: 0.15.118.102
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.102

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3350 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3350-10-01 (MMDYYYY (US, single-digit day))
3350-01-10 (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 1,013,350 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 US1,013,350 on Google Patents ↗ Look up on USPTO ↗