Live analysis

1,013,418

1,013,418 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.).

1,013,418 (one million thirteen thousand four hundred eighteen) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2 × 3³ × 7² × 383. Its proper divisors sum to 1,613,142, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF76AA.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 1,013,429 1,013,430

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,143,101
Square (n²): 1,027,016,042,724
Cube (n³): 1,040,796,543,985,270,632
Divisor count: 48
σ(n) — sum of divisors: 2,626,560
φ(n) — Euler's totient: 288,792
Sum of prime factors: 408

Primality

Prime factorization: 2 × 3 ³ × 7 ² × 383

Nearest primes: 1,013,401 (−17) · 1,013,429 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 27 · 42 · 49 · 54 · 63 · 98 · 126 · 147 · 189 · 294 · 378 · 383 · 441 · 766 · 882 · 1149 · 1323 · 2298 · 2646 · 2681 · 3447 · 5362 · 6894 · 8043 · 10341 · 16086 · 18767 · 20682 · 24129 · 37534 · 48258 · 56301 · 72387 · 112602 · 144774 · 168903 · 337806 · 506709 (half) · 1013418

Aliquot sum (sum of proper divisors): 1,613,142

Factor pairs (a × b = 1,013,418)

1 × 1013418

2 × 506709

3 × 337806

6 × 168903

7 × 144774

9 × 112602

14 × 72387

18 × 56301

21 × 48258

27 × 37534

42 × 24129

49 × 20682

54 × 18767

63 × 16086

98 × 10341

126 × 8043

147 × 6894

189 × 5362

294 × 3447

378 × 2681

383 × 2646

441 × 2298

766 × 1323

882 × 1149

First multiples

1,013,418 · 2,026,836 (double) · 3,040,254 · 4,053,672 · 5,067,090 · 6,080,508 · 7,093,926 · 8,107,344 · 9,120,762 · 10,134,180

Sums & aliquot sequence

As consecutive integers: 337,805 + 337,806 + 337,807 253,353 + 253,354 + 253,355 + 253,356 144,771 + 144,772 + … + 144,777 112,598 + 112,599 + … + 112,606

Aliquot sequence: 1,013,418 → 1,613,142 → 1,971,738 → 2,300,400 → 6,071,832 → 11,770,668 → 24,859,380 → 64,328,460 → 143,776,500 → 334,746,636 → 635,876,724 → 1,234,971,276 → 2,401,183,092 → 4,605,142,668 → 7,675,238,004 → 12,792,063,564 — keeps growing

Continued fraction of √n

√1,013,418 = [1006; (1, 2, 5, 4, 2, 1, 1, 1, 4, 1, 1, 1, 2, 4, 5, 2, 1, 2012)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand four hundred eighteen
Ordinal: 1013418th
Binary: 11110111011010101010
Octal: 3673252
Hexadecimal: 0xF76AA
Base64: D3aq
One's complement: 4,293,953,877 (32-bit)
Scientific notation: 1.013418 × 10⁶
As a duration: 1,013,418 s = 11 days, 17 hours, 30 minutes, 18 seconds

In other bases

ternary (3) 1220111011000

quaternary (4) 3313122222

quinary (5) 224412133

senary (6) 33415430

septenary (7) 11420400

nonary (9) 1814130

undecimal (11) 63243a

duodecimal (12) 40a576

tridecimal (13) 296373

tetradecimal (14) 1c5470

pentadecimal (15) 150413

As an angle

1,013,418° = 2,815 × 360° + 18°

18° ≈ 0.314 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千四百一十八
Chinese (financial): 壹佰零壹萬參仟肆佰壹拾捌

In other modern scripts

Eastern Arabic ١٠١٣٤١٨ Devanagari १०१३४१८ Bengali ১০১৩৪১৮ Tamil ௧௦௧௩௪௧௮ Thai ๑๐๑๓๔๑๘ Tibetan ༡༠༡༣༤༡༨ Khmer ១០១៣៤១៨ Lao ໑໐໑໓໔໑໘ Burmese ၁၀၁၃၄၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013418, here are decompositions:

17 + 1013401 = 1013418
19 + 1013399 = 1013418
41 + 1013377 = 1013418
89 + 1013329 = 1013418
97 + 1013321 = 1013418
127 + 1013291 = 1013418
139 + 1013279 = 1013418
151 + 1013267 = 1013418

Showing the first eight; more decompositions exist.

Hex color

#0F76AA

RGB(15, 118, 170)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.170.

Address: 0.15.118.170
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.170

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3418 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3418-10-01 (MMDYYYY (US, single-digit day))
3418-01-10 (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 1,013,418 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 US1,013,418 on Google Patents ↗ Look up on USPTO ↗