Live analysis

1,013,406

1,013,406 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.).

1,013,406 (one million thirteen thousand four hundred six) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 168,901. Its proper divisors sum to 1,013,418, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF769E.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,394 1,013,395 1,013,396 1,013,397 1,013,398 1,013,399 1,013,400 1,013,401 1,013,402 1,013,403 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 6,043,101
Square (n²): 1,026,991,720,836
Cube (n³): 1,040,759,571,845,527,416
Divisor count: 8
σ(n) — sum of divisors: 2,026,824
φ(n) — Euler's totient: 337,800
Sum of prime factors: 168,906

Primality

Prime factorization: 2 × 3 × 168901

Nearest primes: 1,013,401 (−5) · 1,013,429 (+23)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 168901 · 337802 · 506703 (half) · 1013406

Aliquot sum (sum of proper divisors): 1,013,418

Factor pairs (a × b = 1,013,406)

1 × 1013406

2 × 506703

3 × 337802

6 × 168901

First multiples

1,013,406 · 2,026,812 (double) · 3,040,218 · 4,053,624 · 5,067,030 · 6,080,436 · 7,093,842 · 8,107,248 · 9,120,654 · 10,134,060

Sums & aliquot sequence

As consecutive integers: 337,801 + 337,802 + 337,803 253,350 + 253,351 + 253,352 + 253,353 84,445 + 84,446 + … + 84,456

Aliquot sequence: 1,013,406 → 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

√1,013,406 = [1006; (1, 2, 7, 1, 1, 2, 5, 1, 1, 26, 3, 3, 3, 1, 5, 1, 2, 2, 2, 6, 1, 2, 2, 1, …)]

Representations

In words: one million thirteen thousand four hundred six
Ordinal: 1013406th
Binary: 11110111011010011110
Octal: 3673236
Hexadecimal: 0xF769E
Base64: D3ae
One's complement: 4,293,953,889 (32-bit)
Scientific notation: 1.013406 × 10⁶
As a duration: 1,013,406 s = 11 days, 17 hours, 30 minutes, 6 seconds

In other bases

ternary (3) 1220111010120

quaternary (4) 3313122132

quinary (5) 224412111

senary (6) 33415410

septenary (7) 11420352

nonary (9) 1814116

undecimal (11) 632429

duodecimal (12) 40a566

tridecimal (13) 296364

tetradecimal (14) 1c5462

pentadecimal (15) 150406

As an angle

1,013,406° = 2,815 × 360° + 6°

6° ≈ 0.105 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千四百零六
Chinese (financial): 壹佰零壹萬參仟肆佰零陸

In other modern scripts

Eastern Arabic ١٠١٣٤٠٦ Devanagari १०१३४०६ Bengali ১০১৩৪০৬ Tamil ௧௦௧௩௪௦௬ Thai ๑๐๑๓๔๐๖ Tibetan ༡༠༡༣༤༠༦ Khmer ១០១៣៤០៦ Lao ໑໐໑໓໔໐໖ Burmese ၁၀၁၃၄၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013406, here are decompositions:

5 + 1013401 = 1013406
7 + 1013399 = 1013406
29 + 1013377 = 1013406
127 + 1013279 = 1013406
139 + 1013267 = 1013406
157 + 1013249 = 1013406
167 + 1013239 = 1013406
179 + 1013227 = 1013406

Showing the first eight; more decompositions exist.

Hex color

#0F769E

RGB(15, 118, 158)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.158.

Address: 0.15.118.158
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.158

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3406 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3406-10-01 (MMDYYYY (US, single-digit day))
3406-01-10 (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 1,013,406 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 US1,013,406 on Google Patents ↗ Look up on USPTO ↗