Live analysis

120,024

120,024 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.).

120,024 (one hundred twenty thousand twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 1,667. Its proper divisors sum to 205,236, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4D8.

Abundant Number Harshad / Niven Odious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

120,012 120,013 120,014 120,015 120,016 120,017 120,018 120,019 120,020 120,021 120,022 120,023 120,024 120,025 120,026 120,027 120,028 120,029 120,030 120,031 120,032 120,033 120,034 120,035 120,036

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 420,021
Recamán's sequence: a(240,048) = 120,024
Square (n²): 14,405,760,576
Cube (n³): 1,729,037,007,373,824
Divisor count: 24
σ(n) — sum of divisors: 325,260
φ(n) — Euler's totient: 39,984
Sum of prime factors: 1,679

Primality

Prime factorization: 2 ³ × 3 ² × 1667

Nearest primes: 120,017 (−7) · 120,041 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 1667 · 3334 · 5001 · 6668 · 10002 · 13336 · 15003 · 20004 · 30006 · 40008 · 60012 (half) · 120024

Aliquot sum (sum of proper divisors): 205,236

Factor pairs (a × b = 120,024)

1 × 120024

2 × 60012

3 × 40008

4 × 30006

6 × 20004

8 × 15003

9 × 13336

12 × 10002

18 × 6668

24 × 5001

36 × 3334

72 × 1667

First multiples

120,024 · 240,048 (double) · 360,072 · 480,096 · 600,120 · 720,144 · 840,168 · 960,192 · 1,080,216 · 1,200,240

Sums & aliquot sequence

As consecutive integers: 40,007 + 40,008 + 40,009 13,332 + 13,333 + … + 13,340 7,494 + 7,495 + … + 7,509 2,477 + 2,478 + … + 2,524

Aliquot sequence: 120,024 → 205,236 → 313,646 → 156,826 → 90,854 → 45,430 → 58,250 → 51,262 → 31,034 → 16,486 → 8,246 → 7,114 → 3,560 → 4,540 → 5,036 → 3,784 → 4,136 — unresolved within range

Continued fraction of √n

√120,024 = [346; (2, 4, 34, 2, 2, 1, 2, 1, 1, 27, 7, 3, 1, 7, 1, 3, 1, 8, 3, 9, 5, 1, 6, 2, …)]

Representations

In words: one hundred twenty thousand twenty-four
Ordinal: 120024th
Binary: 11101010011011000
Octal: 352330
Hexadecimal: 0x1D4D8
Base64: AdTY
One's complement: 4,294,847,271 (32-bit)
Scientific notation: 1.20024 × 10⁵
As a duration: 120,024 s = 1 day, 9 hours, 20 minutes, 24 seconds

In other bases

ternary (3) 20002122100

quaternary (4) 131103120

quinary (5) 12320044

senary (6) 2323400

septenary (7) 1006632

nonary (9) 202570

undecimal (11) 821a3

duodecimal (12) 59560

tridecimal (13) 42828

tetradecimal (14) 31a52

pentadecimal (15) 25869

As an angle

120,024° = 333 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκκδʹ
Mayan (base 20): 𝋯·𝋠·𝋡·𝋤
Chinese: 一十二萬零二十四
Chinese (financial): 壹拾貳萬零貳拾肆

In other modern scripts

Eastern Arabic ١٢٠٠٢٤ Devanagari १२००२४ Bengali ১২০০২৪ Tamil ௧௨௦௦௨௪ Thai ๑๒๐๐๒๔ Tibetan ༡༢༠༠༢༤ Khmer ១២០០២៤ Lao ໑໒໐໐໒໔ Burmese ၁၂၀၀၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120024, here are decompositions:

7 + 120017 = 120024
13 + 120011 = 120024
31 + 119993 = 120024
41 + 119983 = 120024
43 + 119981 = 120024
53 + 119971 = 120024
61 + 119963 = 120024
71 + 119953 = 120024

Showing the first eight; more decompositions exist.

Unicode codepoint

𝓘

Mathematical Bold Script Capital I

U+1D4D8

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 93 98 (4 bytes).

Lookup U+1D4D8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D4D8

RGB(1, 212, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.216.

Address: 0.1.212.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.212.216

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 120,024 and was likely granted around 1871.

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

Look up US120,024 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120024 first appears in π at position 429,379 of the decimal expansion (the 429,379ordinal-suffix:th 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 120024 on Pi Search ↗