Live analysis

1,013,380

1,013,380 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.).

1,013,380 (one million thirteen thousand three hundred eighty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 23 × 2,203. Its proper divisors sum to 1,208,252, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7684.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,368 1,013,369 1,013,370 1,013,371 1,013,372 1,013,373 1,013,374 1,013,375 1,013,376 1,013,377 1,013,378 1,013,379 1,013,380 1,013,381 1,013,382 1,013,383 1,013,384 1,013,385 1,013,386 1,013,387 1,013,388 1,013,389 1,013,390 1,013,391 1,013,392

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 833,101
Square (n²): 1,026,939,024,400
Cube (n³): 1,040,679,468,546,472,000
Divisor count: 24
σ(n) — sum of divisors: 2,221,632
φ(n) — Euler's totient: 387,552
Sum of prime factors: 2,235

Primality

Prime factorization: 2 ² × 5 × 23 × 2203

Nearest primes: 1,013,377 (−3) · 1,013,399 (+19)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 23 · 46 · 92 · 115 · 230 · 460 · 2203 · 4406 · 8812 · 11015 · 22030 · 44060 · 50669 · 101338 · 202676 · 253345 · 506690 (half) · 1013380

Aliquot sum (sum of proper divisors): 1,208,252

Factor pairs (a × b = 1,013,380)

1 × 1013380

2 × 506690

4 × 253345

5 × 202676

10 × 101338

20 × 50669

23 × 44060

46 × 22030

92 × 11015

115 × 8812

230 × 4406

460 × 2203

First multiples

1,013,380 · 2,026,760 (double) · 3,040,140 · 4,053,520 · 5,066,900 · 6,080,280 · 7,093,660 · 8,107,040 · 9,120,420 · 10,133,800

Sums & aliquot sequence

As consecutive integers: 202,674 + 202,675 + 202,676 + 202,677 + 202,678 126,669 + 126,670 + … + 126,676 44,049 + 44,050 + … + 44,071 25,315 + 25,316 + … + 25,354

Aliquot sequence: 1,013,380 → 1,208,252 → 914,428 → 741,212 → 555,916 → 437,972 → 333,484 → 254,180 → 290,140 → 329,780 → 426,220 → 481,988 → 501,820 → 648,308 → 505,264 → 516,992 → 662,128 — unresolved within range

Continued fraction of √n

√1,013,380 = [1006; (1, 2, 100, 2, 1, 2012)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand three hundred eighty
Ordinal: 1013380th
Binary: 11110111011010000100
Octal: 3673204
Hexadecimal: 0xF7684
Base64: D3aE
One's complement: 4,293,953,915 (32-bit)
Scientific notation: 1.01338 × 10⁶
As a duration: 1,013,380 s = 11 days, 17 hours, 29 minutes, 40 seconds

In other bases

ternary (3) 1220111002121

quaternary (4) 3313122010

quinary (5) 224412010

senary (6) 33415324

septenary (7) 11420314

nonary (9) 1814077

undecimal (11) 632405

duodecimal (12) 40a544

tridecimal (13) 296344

tetradecimal (14) 1c5444

pentadecimal (15) 1503da

As an angle

1,013,380° = 2,814 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千三百八十
Chinese (financial): 壹佰零壹萬參仟參佰捌拾

In other modern scripts

Eastern Arabic ١٠١٣٣٨٠ Devanagari १०१३३८० Bengali ১০১৩৩৮০ Tamil ௧௦௧௩௩௮௦ Thai ๑๐๑๓๓๘๐ Tibetan ༡༠༡༣༣༨༠ Khmer ១០១៣៣៨០ Lao ໑໐໑໓໓໘໐ Burmese ၁၀၁၃၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013380, here are decompositions:

3 + 1013377 = 1013380
59 + 1013321 = 1013380
89 + 1013291 = 1013380
101 + 1013279 = 1013380
113 + 1013267 = 1013380
131 + 1013249 = 1013380
227 + 1013153 = 1013380
317 + 1013063 = 1013380

Showing the first eight; more decompositions exist.

Hex color

#0F7684

RGB(15, 118, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.132.

Address: 0.15.118.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.132

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3380 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3380-10-01 (MMDYYYY (US, single-digit day))
3380-01-10 (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 1,013,380 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 US1,013,380 on Google Patents ↗ Look up on USPTO ↗