Live analysis

1,013,824

1,013,824 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.).

1,013,824 (one million thirteen thousand eight hundred twenty-four) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 7 × 31 × 73. Its proper divisors sum to 1,392,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7840.

Abundant Number Gapful Number Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,812 1,013,813 1,013,814 1,013,815 1,013,816 1,013,817 1,013,818 1,013,819 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 4,283,101
Square (n²): 1,027,839,102,976
Cube (n³): 1,042,047,950,735,540,224
Divisor count: 56
σ(n) — sum of divisors: 2,405,888
φ(n) — Euler's totient: 414,720
Sum of prime factors: 123

Primality

Prime factorization: 2 ⁶ × 7 × 31 × 73

Nearest primes: 1,013,819 (−5) · 1,013,827 (+3)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 31 · 32 · 56 · 62 · 64 · 73 · 112 · 124 · 146 · 217 · 224 · 248 · 292 · 434 · 448 · 496 · 511 · 584 · 868 · 992 · 1022 · 1168 · 1736 · 1984 · 2044 · 2263 · 2336 · 3472 · 4088 · 4526 · 4672 · 6944 · 8176 · 9052 · 13888 · 15841 · 16352 · 18104 · 31682 · 32704 · 36208 · 63364 · 72416 · 126728 · 144832 · 253456 · 506912 (half) · 1013824

Aliquot sum (sum of proper divisors): 1,392,064

Factor pairs (a × b = 1,013,824)

1 × 1013824

2 × 506912

4 × 253456

7 × 144832

8 × 126728

14 × 72416

16 × 63364

28 × 36208

31 × 32704

32 × 31682

56 × 18104

62 × 16352

64 × 15841

73 × 13888

112 × 9052

124 × 8176

146 × 6944

217 × 4672

224 × 4526

248 × 4088

292 × 3472

434 × 2336

448 × 2263

496 × 2044

511 × 1984

584 × 1736

868 × 1168

992 × 1022

First multiples

1,013,824 · 2,027,648 (double) · 3,041,472 · 4,055,296 · 5,069,120 · 6,082,944 · 7,096,768 · 8,110,592 · 9,124,416 · 10,138,240

Sums & aliquot sequence

As a sum of two cubes: 24³ + 100³

As consecutive integers: 144,829 + 144,830 + … + 144,835 32,689 + 32,690 + … + 32,719 13,852 + 13,853 + … + 13,924 7,857 + 7,858 + … + 7,984

Aliquot sequence: 1,013,824 → 1,392,064 → 1,370,440 → 1,713,140 → 2,520,460 → 2,772,548 → 2,079,418 → 1,434,182 → 717,094 → 651,482 → 400,954 → 244,166 → 150,298 → 75,152 → 109,360 → 145,088 → 142,948 — unresolved within range

Continued fraction of √n

√1,013,824 = [1006; (1, 7, 1, 19, 4, 55, 1, 2, 4, 5, 1, 8, 9, 24, 1, 3, 36, 2, 1, 3, 3, 1, 3, 1, …)]

Representations

In words: one million thirteen thousand eight hundred twenty-four
Ordinal: 1013824th
Binary: 11110111100001000000
Octal: 3674100
Hexadecimal: 0xF7840
Base64: D3hA
One's complement: 4,293,953,471 (32-bit)
Scientific notation: 1.013824 × 10⁶
As a duration: 1,013,824 s = 11 days, 17 hours, 37 minutes, 4 seconds

In other bases

ternary (3) 1220111201001

quaternary (4) 3313201000

quinary (5) 224420244

senary (6) 33421344

septenary (7) 11421520

nonary (9) 1814631

undecimal (11) 632779

duodecimal (12) 40a854

tridecimal (13) 2965c6

tetradecimal (14) 1c5680

pentadecimal (15) 1505d4

As an angle

1,013,824° = 2,816 × 360° + 64°

64° ≈ 1.117 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千八百二十四
Chinese (financial): 壹佰零壹萬參仟捌佰貳拾肆

In other modern scripts

Eastern Arabic ١٠١٣٨٢٤ Devanagari १०१३८२४ Bengali ১০১৩৮২৪ Tamil ௧௦௧௩௮௨௪ Thai ๑๐๑๓๘๒๔ Tibetan ༡༠༡༣༨༢༤ Khmer ១០១៣៨២៤ Lao ໑໐໑໓໘໒໔ Burmese ၁၀၁၃၈၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013824, here are decompositions:

5 + 1013819 = 1013824
11 + 1013813 = 1013824
83 + 1013741 = 1013824
107 + 1013717 = 1013824
113 + 1013711 = 1013824
137 + 1013687 = 1013824
197 + 1013627 = 1013824
293 + 1013531 = 1013824

Showing the first eight; more decompositions exist.

Hex color

#0F7840

RGB(15, 120, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.64.

Address: 0.15.120.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3824 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3824-10-01 (MMDYYYY (US, single-digit day))
3824-01-10 (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 1,013,824 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 US1,013,824 on Google Patents ↗ Look up on USPTO ↗