Live analysis

3,042

3,042 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.).

3,042 (three thousand forty-two) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2 × 3² × 13². Its proper divisors sum to 4,095, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMXLII and in binary, 101111100010.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,030 3,031 3,032 3,033 3,034 3,035 3,036 3,037 3,038 3,039 3,040 3,041 3,042 3,043 3,044 3,045 3,046 3,047 3,048 3,049 3,050 3,051 3,052 3,053 3,054

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 2,403
Recamán's sequence: a(1,523) = 3,042
Square (n²): 9,253,764
Cube (n³): 28,149,950,088
Divisor count: 18
σ(n) — sum of divisors: 7,137
φ(n) — Euler's totient: 936
Sum of prime factors: 34

Primality

Prime factorization: 2 × 3 ² × 13 ²

Nearest primes: 3,041 (−1) · 3,049 (+7)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 78 · 117 · 169 · 234 · 338 · 507 · 1014 · 1521 (half) · 3042

Aliquot sum (sum of proper divisors): 4,095

Factor pairs (a × b = 3,042)

1 × 3042

2 × 1521

3 × 1014

6 × 507

9 × 338

13 × 234

18 × 169

26 × 117

39 × 78

First multiples

3,042 · 6,084 (double) · 9,126 · 12,168 · 15,210 · 18,252 · 21,294 · 24,336 · 27,378 · 30,420

Sums & aliquot sequence

As a sum of two squares: 21² + 51² = 39² + 39²

As consecutive integers: 1,013 + 1,014 + 1,015 759 + 760 + 761 + 762 334 + 335 + … + 342 248 + 249 + … + 259

Aliquot sequence: 3,042 → 4,095 → 4,641 → 3,423 → 1,825 → 469 → 75 → 49 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,042 = [55; (6, 2, 11, 1, 3, 1, 7, 12, 7, 1, 3, 1, 11, 2, 6, 110)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: three thousand forty-two
Ordinal: 3042nd
Roman numeral: MMMXLII
Binary: 101111100010
Octal: 5742
Hexadecimal: 0xBE2
Base64: C+I=
One's complement: 62,493 (16-bit)
Scientific notation: 3.042 × 10³
As a duration: 3,042 s = 50 minutes, 42 seconds

In other bases

ternary (3) 11011200

quaternary (4) 233202

quinary (5) 44132

senary (6) 22030

septenary (7) 11604

nonary (9) 4150

undecimal (11) 2316

duodecimal (12) 1916

tridecimal (13) 1500

tetradecimal (14) 1174

pentadecimal (15) d7c

As an angle

3,042° = 8 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵γμβʹ
Mayan (base 20): 𝋧·𝋬·𝋢
Chinese: 三千零四十二
Chinese (financial): 參仟零肆拾貳

In other modern scripts

Eastern Arabic ٣٠٤٢ Devanagari ३०४२ Bengali ৩০৪২ Tamil ௩௦௪௨ Thai ๓๐๔๒ Tibetan ༣༠༤༢ Khmer ៣០៤២ Lao ໓໐໔໒ Burmese ၃၀၄၂

Digit at this position in famous constants

π — Pi (π): Digit 3,042 = 6
e — Euler's number (e): Digit 3,042 = 3
φ — Golden ratio (φ): Digit 3,042 = 3
√2 — Pythagoras's (√2): Digit 3,042 = 4
ln 2 — Natural log of 2: Digit 3,042 = 8
γ — Euler-Mascheroni (γ): Digit 3,042 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3042, here are decompositions:

5 + 3037 = 3042
19 + 3023 = 3042
23 + 3019 = 3042
31 + 3011 = 3042
41 + 3001 = 3042
43 + 2999 = 3042
71 + 2971 = 3042
73 + 2969 = 3042

Showing the first eight; more decompositions exist.

Hex color

#000BE2

RGB(0, 11, 226)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.226.

Address: 0.0.11.226
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.226

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

Musical pitch

Heard as a frequency, 3,042 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +47¢ — about midway to G7)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -15¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +49¢ — about midway to G♯7)

Position in π

The digit sequence 3042 first appears in π at position 20,820 of the decimal expansion (the 20,820ordinal-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 3042 on Pi Search ↗