Live analysis

1,013,706

1,013,706 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.).

1,013,706 (one million thirteen thousand seven hundred six) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 199 × 283. Its proper divisors sum to 1,201,494, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF77CA.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,694 1,013,695 1,013,696 1,013,697 1,013,698 1,013,699 1,013,700 1,013,701 1,013,702 1,013,703 1,013,704 1,013,705 1,013,706 1,013,707 1,013,708 1,013,709 1,013,710 1,013,711 1,013,712 1,013,713 1,013,714 1,013,715 1,013,716 1,013,717 1,013,718

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,073,101
Square (n²): 1,027,599,854,436
Cube (n³): 1,041,684,138,040,899,816
Divisor count: 24
σ(n) — sum of divisors: 2,215,200
φ(n) — Euler's totient: 335,016
Sum of prime factors: 490

Primality

Prime factorization: 2 × 3 ² × 199 × 283

Nearest primes: 1,013,699 (−7) · 1,013,711 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 199 · 283 · 398 · 566 · 597 · 849 · 1194 · 1698 · 1791 · 2547 · 3582 · 5094 · 56317 · 112634 · 168951 · 337902 · 506853 (half) · 1013706

Aliquot sum (sum of proper divisors): 1,201,494

Factor pairs (a × b = 1,013,706)

1 × 1013706

2 × 506853

3 × 337902

6 × 168951

9 × 112634

18 × 56317

199 × 5094

283 × 3582

398 × 2547

566 × 1791

597 × 1698

849 × 1194

First multiples

1,013,706 · 2,027,412 (double) · 3,041,118 · 4,054,824 · 5,068,530 · 6,082,236 · 7,095,942 · 8,109,648 · 9,123,354 · 10,137,060

Sums & aliquot sequence

As consecutive integers: 337,901 + 337,902 + 337,903 253,425 + 253,426 + 253,427 + 253,428 112,630 + 112,631 + … + 112,638 84,470 + 84,471 + … + 84,481

Aliquot sequence: 1,013,706 → 1,201,494 → 1,544,874 → 1,562,934 → 1,562,946 → 2,584,254 → 2,584,266 → 2,856,534 → 2,856,546 → 5,158,494 → 7,034,778 → 8,207,280 → 19,357,920 → 48,409,920 → 135,933,120 → 343,639,200 → 784,476,096 — unresolved within range

Continued fraction of √n

√1,013,706 = [1006; (1, 4, 1, 6, 1, 3, 3, 1, 4, 3, 1, 8, 1, 27, 1, 6, 1, 1, 1, 2, 1, 1, 1, 79, …)]

Representations

In words: one million thirteen thousand seven hundred six
Ordinal: 1013706th
Binary: 11110111011111001010
Octal: 3673712
Hexadecimal: 0xF77CA
Base64: D3fK
One's complement: 4,293,953,589 (32-bit)
Scientific notation: 1.013706 × 10⁶
As a duration: 1,013,706 s = 11 days, 17 hours, 35 minutes, 6 seconds

In other bases

ternary (3) 1220111112200

quaternary (4) 3313133022

quinary (5) 224414311

senary (6) 33421030

septenary (7) 11421261

nonary (9) 1814480

undecimal (11) 632681

duodecimal (12) 40a776

tridecimal (13) 296535

tetradecimal (14) 1c55d8

pentadecimal (15) 150556

As an angle

1,013,706° = 2,815 × 360° + 306°

306° ≈ 5.341 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千七百零六
Chinese (financial): 壹佰零壹萬參仟柒佰零陸

In other modern scripts

Eastern Arabic ١٠١٣٧٠٦ Devanagari १०१३७०६ Bengali ১০১৩৭০৬ Tamil ௧௦௧௩௭௦௬ Thai ๑๐๑๓๗๐๖ Tibetan ༡༠༡༣༧༠༦ Khmer ១០១៣៧០៦ Lao ໑໐໑໓໗໐໖ Burmese ၁၀၁၃၇၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013706, here are decompositions:

7 + 1013699 = 1013706
19 + 1013687 = 1013706
79 + 1013627 = 1013706
97 + 1013609 = 1013706
103 + 1013603 = 1013706
137 + 1013569 = 1013706
173 + 1013533 = 1013706
179 + 1013527 = 1013706

Showing the first eight; more decompositions exist.

Hex color

#0F77CA

RGB(15, 119, 202)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.202.

Address: 0.15.119.202
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.202

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3706 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3706-10-01 (MMDYYYY (US, single-digit day))
3706-01-10 (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 1,013,706 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 US1,013,706 on Google Patents ↗ Look up on USPTO ↗