Live analysis

108,024

108,024 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.).

108,024 (one hundred eight thousand twenty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 7 × 643. Its proper divisors sum to 201,096, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A5F8.

Abundant Number Arithmetic Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

108,012 108,013 108,014 108,015 108,016 108,017 108,018 108,019 108,020 108,021 108,022 108,023 108,024 108,025 108,026 108,027 108,028 108,029 108,030 108,031 108,032 108,033 108,034 108,035 108,036

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 420,801
Recamán's sequence: a(251,384) = 108,024
Square (n²): 11,669,184,576
Cube (n³): 1,260,551,994,637,824
Divisor count: 32
σ(n) — sum of divisors: 309,120
φ(n) — Euler's totient: 30,816
Sum of prime factors: 659

Primality

Prime factorization: 2 ³ × 3 × 7 × 643

Nearest primes: 108,023 (−1) · 108,037 (+13)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 42 · 56 · 84 · 168 · 643 · 1286 · 1929 · 2572 · 3858 · 4501 · 5144 · 7716 · 9002 · 13503 · 15432 · 18004 · 27006 · 36008 · 54012 (half) · 108024

Aliquot sum (sum of proper divisors): 201,096

Factor pairs (a × b = 108,024)

1 × 108024

2 × 54012

3 × 36008

4 × 27006

6 × 18004

7 × 15432

8 × 13503

12 × 9002

14 × 7716

21 × 5144

24 × 4501

28 × 3858

42 × 2572

56 × 1929

84 × 1286

168 × 643

First multiples

108,024 · 216,048 (double) · 324,072 · 432,096 · 540,120 · 648,144 · 756,168 · 864,192 · 972,216 · 1,080,240

Sums & aliquot sequence

As consecutive integers: 36,007 + 36,008 + 36,009 15,429 + 15,430 + … + 15,435 6,744 + 6,745 + … + 6,759 5,134 + 5,135 + … + 5,154

Aliquot sequence: 108,024 → 201,096 → 482,904 → 897,696 → 1,723,104 → 3,361,248 → 7,076,088 → 12,926,232 → 27,321,768 → 47,176,812 → 72,075,776 → 71,936,026 → 36,923,258 → 18,494,470 → 16,754,138 → 8,958,502 → 6,439,418 — unresolved within range

Continued fraction of √n

√108,024 = [328; (1, 2, 32, 1, 1, 6, 1, 25, 2, 2, 1, 10, 1, 4, 1, 1, 13, 2, 3, 1, 1, 1, 6, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one hundred eight thousand twenty-four
Ordinal: 108024th
Binary: 11010010111111000
Octal: 322770
Hexadecimal: 0x1A5F8
Base64: AaX4
One's complement: 4,294,859,271 (32-bit)
Scientific notation: 1.08024 × 10⁵
As a duration: 108,024 s = 1 day, 6 hours, 24 seconds

In other bases

ternary (3) 12111011220

quaternary (4) 122113320

quinary (5) 11424044

senary (6) 2152040

septenary (7) 626640

nonary (9) 174156

undecimal (11) 74184

duodecimal (12) 52620

tridecimal (13) 3a227

tetradecimal (14) 2b520

pentadecimal (15) 22019

As an angle

108,024° = 300 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 · 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρηκδʹ
Mayan (base 20): 𝋭·𝋪·𝋡·𝋤
Chinese: 十萬八千零二十四
Chinese (financial): 壹拾萬捌仟零貳拾肆

In other modern scripts

Eastern Arabic ١٠٨٠٢٤ Devanagari १०८०२४ Bengali ১০৮০২৪ Tamil ௧௦௮௦௨௪ Thai ๑๐๘๐๒๔ Tibetan ༡༠༨༠༢༤ Khmer ១០៨០២៤ Lao ໑໐໘໐໒໔ Burmese ၁၀၈၀၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108024, here are decompositions:

11 + 108013 = 108024
13 + 108011 = 108024
17 + 108007 = 108024
43 + 107981 = 108024
53 + 107971 = 108024
73 + 107951 = 108024
83 + 107941 = 108024
97 + 107927 = 108024

Showing the first eight; more decompositions exist.

Hex color

#01A5F8

RGB(1, 165, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.248.

Address: 0.1.165.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.165.248

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

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 108,024 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US108,024 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 108024 first appears in π at position 812,232 of the decimal expansion (the 812,232ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 108024 on Pi Search ↗