Live analysis

1,013,832

1,013,832 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.).

1,013,832 (one million thirteen thousand eight hundred thirty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 14,081. Its proper divisors sum to 1,732,158, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7848.

Abundant Number Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,820 1,013,821 1,013,822 1,013,823 1,013,824 1,013,825 1,013,826 1,013,827 1,013,828 1,013,829 1,013,830 1,013,831 1,013,832 1,013,833 1,013,834 1,013,835 1,013,836 1,013,837 1,013,838 1,013,839 1,013,840 1,013,841 1,013,842 1,013,843 1,013,844

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,383,101
Square (n²): 1,027,855,324,224
Cube (n³): 1,042,072,619,068,666,368
Divisor count: 24
σ(n) — sum of divisors: 2,745,990
φ(n) — Euler's totient: 337,920
Sum of prime factors: 14,093

Primality

Prime factorization: 2 ³ × 3 ² × 14081

Nearest primes: 1,013,827 (−5) · 1,013,833 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 14081 · 28162 · 42243 · 56324 · 84486 · 112648 · 126729 · 168972 · 253458 · 337944 · 506916 (half) · 1013832

Aliquot sum (sum of proper divisors): 1,732,158

Factor pairs (a × b = 1,013,832)

1 × 1013832

2 × 506916

3 × 337944

4 × 253458

6 × 168972

8 × 126729

9 × 112648

12 × 84486

18 × 56324

24 × 42243

36 × 28162

72 × 14081

First multiples

1,013,832 · 2,027,664 (double) · 3,041,496 · 4,055,328 · 5,069,160 · 6,082,992 · 7,096,824 · 8,110,656 · 9,124,488 · 10,138,320

Sums & aliquot sequence

As a sum of two squares: 546² + 846²

As consecutive integers: 337,943 + 337,944 + 337,945 112,644 + 112,645 + … + 112,652 63,357 + 63,358 + … + 63,372 21,098 + 21,099 + … + 21,145

Aliquot sequence: 1,013,832 → 1,732,158 → 2,117,202 → 2,117,214 → 3,342,474 → 3,899,592 → 6,927,588 → 10,690,012 → 8,474,084 → 6,377,116 → 4,782,844 → 4,482,692 → 3,362,026 → 1,700,438 → 856,402 → 489,710 → 459,826 — unresolved within range

Continued fraction of √n

√1,013,832 = [1006; (1, 8, 3, 1, 1, 3, 2, 2, 1, 8, 1, 1, 3, 40, 1, 4, 2, 1, 1, 1, 2, 2, 11, 1, …)]

Representations

In words: one million thirteen thousand eight hundred thirty-two
Ordinal: 1013832nd
Binary: 11110111100001001000
Octal: 3674110
Hexadecimal: 0xF7848
Base64: D3hI
One's complement: 4,293,953,463 (32-bit)
Scientific notation: 1.013832 × 10⁶
As a duration: 1,013,832 s = 11 days, 17 hours, 37 minutes, 12 seconds

In other bases

ternary (3) 1220111201100

quaternary (4) 3313201020

quinary (5) 224420312

senary (6) 33421400

septenary (7) 11421531

nonary (9) 1814640

undecimal (11) 632786

duodecimal (12) 40a860

tridecimal (13) 296601

tetradecimal (14) 1c5688

pentadecimal (15) 1505dc

As an angle

1,013,832° = 2,816 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬三千八百三十二
Chinese (financial): 壹佰零壹萬參仟捌佰參拾貳

In other modern scripts

Eastern Arabic ١٠١٣٨٣٢ Devanagari १०१३८३२ Bengali ১০১৩৮৩২ Tamil ௧௦௧௩௮௩௨ Thai ๑๐๑๓๘๓๒ Tibetan ༡༠༡༣༨༣༢ Khmer ១០១៣៨៣២ Lao ໑໐໑໓໘໓໒ Burmese ၁၀၁၃၈၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013832, here are decompositions:

5 + 1013827 = 1013832
13 + 1013819 = 1013832
19 + 1013813 = 1013832
41 + 1013791 = 1013832
59 + 1013773 = 1013832
103 + 1013729 = 1013832
151 + 1013681 = 1013832
191 + 1013641 = 1013832

Showing the first eight; more decompositions exist.

Hex color

#0F7848

RGB(15, 120, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.72.

Address: 0.15.120.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.72

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3832 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3832-10-01 (MMDYYYY (US, single-digit day))
3832-01-10 (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 1,013,832 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 US1,013,832 on Google Patents ↗ Look up on USPTO ↗