Live analysis

1,013,772

1,013,772 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.).

1,013,772 (one million thirteen thousand seven hundred seventy-two) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 84,481. Its proper divisors sum to 1,351,724, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF780C.

Abundant Number Cube-Free Evil Number Gapful Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,760 1,013,761 1,013,762 1,013,763 1,013,764 1,013,765 1,013,766 1,013,767 1,013,768 1,013,769 1,013,770 1,013,771 1,013,772 1,013,773 1,013,774 1,013,775 1,013,776 1,013,777 1,013,778 1,013,779 1,013,780 1,013,781 1,013,782 1,013,783 1,013,784

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,773,101
Square (n²): 1,027,733,667,984
Cube (n³): 1,041,887,616,059,475,648
Divisor count: 12
σ(n) — sum of divisors: 2,365,496
φ(n) — Euler's totient: 337,920
Sum of prime factors: 84,488

Primality

Prime factorization: 2 ² × 3 × 84481

Nearest primes: 1,013,767 (−5) · 1,013,773 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 84481 · 168962 · 253443 · 337924 · 506886 (half) · 1013772

Aliquot sum (sum of proper divisors): 1,351,724

Factor pairs (a × b = 1,013,772)

1 × 1013772

2 × 506886

3 × 337924

4 × 253443

6 × 168962

12 × 84481

First multiples

1,013,772 · 2,027,544 (double) · 3,041,316 · 4,055,088 · 5,068,860 · 6,082,632 · 7,096,404 · 8,110,176 · 9,123,948 · 10,137,720

Sums & aliquot sequence

As consecutive integers: 337,923 + 337,924 + 337,925 126,718 + 126,719 + … + 126,725 42,229 + 42,230 + … + 42,252

Aliquot sequence: 1,013,772 → 1,351,724 → 1,314,772 → 1,168,940 → 1,306,372 → 979,786 → 537,398 → 285,994 → 146,294 → 74,866 → 52,142 → 31,474 → 15,740 → 17,356 → 13,024 → 15,704 → 16,216 — unresolved within range

Continued fraction of √n

√1,013,772 = [1006; (1, 6, 3, 1, 2, 2, 1, 83, 4, 1, 14, 1, 1, 2, 1, 502, 1, 2, 1, 1, 14, 1, 4, 83, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand seven hundred seventy-two
Ordinal: 1013772nd
Binary: 11110111100000001100
Octal: 3674014
Hexadecimal: 0xF780C
Base64: D3gM
One's complement: 4,293,953,523 (32-bit)
Scientific notation: 1.013772 × 10⁶
As a duration: 1,013,772 s = 11 days, 17 hours, 36 minutes, 12 seconds

In other bases

ternary (3) 1220111122010

quaternary (4) 3313200030

quinary (5) 224420042

senary (6) 33421220

septenary (7) 11421414

nonary (9) 1814563

undecimal (11) 632731

duodecimal (12) 40a810

tridecimal (13) 296586

tetradecimal (14) 1c5644

pentadecimal (15) 15059c

As an angle

1,013,772° = 2,816 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬三千七百七十二
Chinese (financial): 壹佰零壹萬參仟柒佰柒拾貳

In other modern scripts

Eastern Arabic ١٠١٣٧٧٢ Devanagari १०१३७७२ Bengali ১০১৩৭৭২ Tamil ௧௦௧௩௭௭௨ Thai ๑๐๑๓๗๗๒ Tibetan ༡༠༡༣༧༧༢ Khmer ១០១៣៧៧២ Lao ໑໐໑໓໗໗໒ Burmese ၁၀၁၃၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013772, here are decompositions:

5 + 1013767 = 1013772
31 + 1013741 = 1013772
43 + 1013729 = 1013772
59 + 1013713 = 1013772
61 + 1013711 = 1013772
73 + 1013699 = 1013772
101 + 1013671 = 1013772
131 + 1013641 = 1013772

Showing the first eight; more decompositions exist.

Hex color

#0F780C

RGB(15, 120, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.12.

Address: 0.15.120.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.12

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3772 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3772-10-01 (MMDYYYY (US, single-digit day))
3772-01-10 (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 1,013,772 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 US1,013,772 on Google Patents ↗ Look up on USPTO ↗