Live analysis

1,013,416

1,013,416 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.).

1,013,416 (one million thirteen thousand four hundred sixteen) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 131 × 967. Written other ways, in hexadecimal, 0xF76A8.

Arithmetic Number Deficient Number Evil Number Self Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,013,404 1,013,405 1,013,406 1,013,407 1,013,408 1,013,409 1,013,410 1,013,411 1,013,412 1,013,413 1,013,414 1,013,415 1,013,416 1,013,417 1,013,418 1,013,419 1,013,420 1,013,421 1,013,422 1,013,423 1,013,424 1,013,425 1,013,426 1,013,427 1,013,428

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Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 6,143,101
Square (n²): 1,027,011,989,056
Cube (n³): 1,040,790,381,901,175,296
Divisor count: 16
σ(n) — sum of divisors: 1,916,640
φ(n) — Euler's totient: 502,320
Sum of prime factors: 1,104

Primality

Prime factorization: 2 ³ × 131 × 967

Nearest primes: 1,013,401 (−15) · 1,013,429 (+13)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 131 · 262 · 524 · 967 · 1048 · 1934 · 3868 · 7736 · 126677 · 253354 · 506708 (half) · 1013416

Aliquot sum (sum of proper divisors): 903,224

Factor pairs (a × b = 1,013,416)

1 × 1013416

2 × 506708

4 × 253354

8 × 126677

131 × 7736

262 × 3868

524 × 1934

967 × 1048

First multiples

1,013,416 · 2,026,832 (double) · 3,040,248 · 4,053,664 · 5,067,080 · 6,080,496 · 7,093,912 · 8,107,328 · 9,120,744 · 10,134,160

Sums & aliquot sequence

As consecutive integers: 63,331 + 63,332 + … + 63,346 7,671 + 7,672 + … + 7,801 565 + 566 + … + 1,531

Aliquot sequence: 1,013,416 → 903,224 → 1,047,616 → 1,031,374 → 515,690 → 572,950 → 645,722 → 585,478 → 307,322 → 166,234 → 83,120 → 110,320 → 184,304 → 172,816 → 210,096 → 378,284 → 322,780 — unresolved within range

Continued fraction of √n

√1,013,416 = [1006; (1, 2, 5, 1, 1, 12, 2, 1, 3, 30, 1, 2, 2, 1, 2, 1, 4, 33, 2, 1, 9, 17, 1, 2, …)]

Representations

In words: one million thirteen thousand four hundred sixteen
Ordinal: 1013416th
Binary: 11110111011010101000
Octal: 3673250
Hexadecimal: 0xF76A8
Base64: D3ao
One's complement: 4,293,953,879 (32-bit)
Scientific notation: 1.013416 × 10⁶
As a duration: 1,013,416 s = 11 days, 17 hours, 30 minutes, 16 seconds

In other bases

ternary (3) 1220111010221

quaternary (4) 3313122220

quinary (5) 224412131

senary (6) 33415424

septenary (7) 11420365

nonary (9) 1814127

undecimal (11) 632438

duodecimal (12) 40a574

tridecimal (13) 296371

tetradecimal (14) 1c546c

pentadecimal (15) 150411

As an angle

1,013,416° = 2,815 × 360° + 16°

16° ≈ 0.279 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千四百一十六
Chinese (financial): 壹佰零壹萬參仟肆佰壹拾陸

In other modern scripts

Eastern Arabic ١٠١٣٤١٦ Devanagari १०१३४१६ Bengali ১০১৩৪১৬ Tamil ௧௦௧௩௪௧௬ Thai ๑๐๑๓๔๑๖ Tibetan ༡༠༡༣༤༡༦ Khmer ១០១៣៤១៦ Lao ໑໐໑໓໔໑໖ Burmese ၁၀၁၃၄၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013416, here are decompositions:

17 + 1013399 = 1013416
137 + 1013279 = 1013416
149 + 1013267 = 1013416
167 + 1013249 = 1013416
179 + 1013237 = 1013416
263 + 1013153 = 1013416
353 + 1013063 = 1013416
419 + 1012997 = 1013416

Showing the first eight; more decompositions exist.

Hex color

#0F76A8

RGB(15, 118, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.168.

Address: 0.15.118.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.168

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3416 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3416-10-01 (MMDYYYY (US, single-digit day))
3416-01-10 (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 1,013,416 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 US1,013,416 on Google Patents ↗ Look up on USPTO ↗