Live analysis

1,013,352

1,013,352 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.).

1,013,352 (one million thirteen thousand three hundred fifty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 42,223. Its proper divisors sum to 1,520,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7668.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

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 1,013,363 1,013,364

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,533,101
Square (n²): 1,026,882,275,904
Cube (n³): 1,040,593,208,051,870,208
Divisor count: 16
σ(n) — sum of divisors: 2,533,440
φ(n) — Euler's totient: 337,776
Sum of prime factors: 42,232

Primality

Prime factorization: 2 ³ × 3 × 42223

Nearest primes: 1,013,329 (−23) · 1,013,377 (+25)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 42223 · 84446 · 126669 · 168892 · 253338 · 337784 · 506676 (half) · 1013352

Aliquot sum (sum of proper divisors): 1,520,088

Factor pairs (a × b = 1,013,352)

1 × 1013352

2 × 506676

3 × 337784

4 × 253338

6 × 168892

8 × 126669

12 × 84446

24 × 42223

First multiples

1,013,352 · 2,026,704 (double) · 3,040,056 · 4,053,408 · 5,066,760 · 6,080,112 · 7,093,464 · 8,106,816 · 9,120,168 · 10,133,520

Sums & aliquot sequence

As consecutive integers: 337,783 + 337,784 + 337,785 63,327 + 63,328 + … + 63,342 21,088 + 21,089 + … + 21,135

Aliquot sequence: 1,013,352 → 1,520,088 → 2,280,192 → 3,790,488 → 6,415,512 → 10,142,568 → 17,327,082 → 17,327,094 → 18,522,426 → 21,372,198 → 23,230,938 → 23,230,950 → 34,382,178 → 42,441,822 → 49,515,498 → 57,768,120 → 137,279,880 — unresolved within range

Continued fraction of √n

√1,013,352 = [1006; (1, 1, 1, 8, 87, 2, 2, 1, 1, 1, 1, 2, 7, 3, 1, 2, 29, 4, 12, 35, 4, 5, 1, 2, …)]

Representations

In words: one million thirteen thousand three hundred fifty-two
Ordinal: 1013352nd
Binary: 11110111011001101000
Octal: 3673150
Hexadecimal: 0xF7668
Base64: D3Zo
One's complement: 4,293,953,943 (32-bit)
Scientific notation: 1.013352 × 10⁶
As a duration: 1,013,352 s = 11 days, 17 hours, 29 minutes, 12 seconds

In other bases

ternary (3) 1220111001120

quaternary (4) 3313121220

quinary (5) 224411402

senary (6) 33415240

septenary (7) 11420244

nonary (9) 1814046

undecimal (11) 63238a

duodecimal (12) 40a520

tridecimal (13) 296322

tetradecimal (14) 1c5424

pentadecimal (15) 1503bc

As an angle

1,013,352° = 2,814 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬三千三百五十二
Chinese (financial): 壹佰零壹萬參仟參佰伍拾貳

In other modern scripts

Eastern Arabic ١٠١٣٣٥٢ Devanagari १०१३३५२ Bengali ১০১৩৩৫২ Tamil ௧௦௧௩௩௫௨ Thai ๑๐๑๓๓๕๒ Tibetan ༡༠༡༣༣༥༢ Khmer ១០១៣៣៥២ Lao ໑໐໑໓໓໕໒ Burmese ၁၀၁၃၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013352, here are decompositions:

23 + 1013329 = 1013352
31 + 1013321 = 1013352
61 + 1013291 = 1013352
73 + 1013279 = 1013352
89 + 1013263 = 1013352
103 + 1013249 = 1013352
113 + 1013239 = 1013352
149 + 1013203 = 1013352

Showing the first eight; more decompositions exist.

Hex color

#0F7668

RGB(15, 118, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.104.

Address: 0.15.118.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.104

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3352 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3352-10-01 (MMDYYYY (US, single-digit day))
3352-01-10 (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 1,013,352 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 US1,013,352 on Google Patents ↗ Look up on USPTO ↗