Live analysis

1,013,364

1,013,364 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.).

1,013,364 (one million thirteen thousand three hundred sixty-four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 11 × 853. Its proper divisors sum to 1,856,076, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7674.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

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 1,013,365 1,013,366 1,013,367 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,633,101
Square (n²): 1,026,906,596,496
Cube (n³): 1,040,630,176,251,572,544
Divisor count: 48
σ(n) — sum of divisors: 2,869,440
φ(n) — Euler's totient: 306,720
Sum of prime factors: 877

Primality

Prime factorization: 2 ² × 3 ³ × 11 × 853

Nearest primes: 1,013,329 (−35) · 1,013,377 (+13)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 27 · 33 · 36 · 44 · 54 · 66 · 99 · 108 · 132 · 198 · 297 · 396 · 594 · 853 · 1188 · 1706 · 2559 · 3412 · 5118 · 7677 · 9383 · 10236 · 15354 · 18766 · 23031 · 28149 · 30708 · 37532 · 46062 · 56298 · 84447 · 92124 · 112596 · 168894 · 253341 · 337788 · 506682 (half) · 1013364

Aliquot sum (sum of proper divisors): 1,856,076

Factor pairs (a × b = 1,013,364)

1 × 1013364

2 × 506682

3 × 337788

4 × 253341

6 × 168894

9 × 112596

11 × 92124

12 × 84447

18 × 56298

22 × 46062

27 × 37532

33 × 30708

36 × 28149

44 × 23031

54 × 18766

66 × 15354

99 × 10236

108 × 9383

132 × 7677

198 × 5118

297 × 3412

396 × 2559

594 × 1706

853 × 1188

First multiples

1,013,364 · 2,026,728 (double) · 3,040,092 · 4,053,456 · 5,066,820 · 6,080,184 · 7,093,548 · 8,106,912 · 9,120,276 · 10,133,640

Sums & aliquot sequence

As consecutive integers: 337,787 + 337,788 + 337,789 126,667 + 126,668 + … + 126,674 112,592 + 112,593 + … + 112,600 92,119 + 92,120 + … + 92,129

Aliquot sequence: 1,013,364 → 1,856,076 → 2,510,244 → 4,592,796 → 7,167,204 → 13,282,764 → 21,263,412 → 28,481,388 → 47,055,444 → 62,740,620 → 127,573,140 → 238,351,020 → 429,032,004 → 581,268,924 → 967,173,972 → 1,293,039,564 → 1,757,542,068 — unresolved within range

Continued fraction of √n

√1,013,364 = [1006; (1, 1, 1, 15, 1, 1, 3, 12, 1, 1, 5, 1, 6, 1, 4, 4, 2, 5, 11, 1, 6, 1, 4, 1, …)]

Representations

In words: one million thirteen thousand three hundred sixty-four
Ordinal: 1013364th
Binary: 11110111011001110100
Octal: 3673164
Hexadecimal: 0xF7674
Base64: D3Z0
One's complement: 4,293,953,931 (32-bit)
Scientific notation: 1.013364 × 10⁶
As a duration: 1,013,364 s = 11 days, 17 hours, 29 minutes, 24 seconds

In other bases

ternary (3) 1220111002000

quaternary (4) 3313121310

quinary (5) 224411424

senary (6) 33415300

septenary (7) 11420262

nonary (9) 1814060

undecimal (11) 6323a0

duodecimal (12) 40a530

tridecimal (13) 296331

tetradecimal (14) 1c5432

pentadecimal (15) 1503c9

As an angle

1,013,364° = 2,814 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千三百六十四
Chinese (financial): 壹佰零壹萬參仟參佰陸拾肆

In other modern scripts

Eastern Arabic ١٠١٣٣٦٤ Devanagari १०१३३६४ Bengali ১০১৩৩৬৪ Tamil ௧௦௧௩௩௬௪ Thai ๑๐๑๓๓๖๔ Tibetan ༡༠༡༣༣༦༤ Khmer ១០១៣៣៦៤ Lao ໑໐໑໓໓໖໔ Burmese ၁၀၁၃၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013364, here are decompositions:

43 + 1013321 = 1013364
73 + 1013291 = 1013364
97 + 1013267 = 1013364
101 + 1013263 = 1013364
127 + 1013237 = 1013364
137 + 1013227 = 1013364
167 + 1013197 = 1013364
211 + 1013153 = 1013364

Showing the first eight; more decompositions exist.

Hex color

#0F7674

RGB(15, 118, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.116.

Address: 0.15.118.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.116

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3364 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3364-10-01 (MMDYYYY (US, single-digit day))
3364-01-10 (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 1,013,364 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 US1,013,364 on Google Patents ↗ Look up on USPTO ↗