Live analysis

3,040

3,040 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.).

3,040 (three thousand forty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 19. Its proper divisors sum to 4,520, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMXL and in binary, 101111100000.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

3,028 3,029 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

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 403
Recamán's sequence: a(1,519) = 3,040
Square (n²): 9,241,600
Cube (n³): 28,094,464,000
Divisor count: 24
σ(n) — sum of divisors: 7,560
φ(n) — Euler's totient: 1,152
Sum of prime factors: 34

Primality

Prime factorization: 2 ⁵ × 5 × 19

Nearest primes: 3,037 (−3) · 3,041 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 19 · 20 · 32 · 38 · 40 · 76 · 80 · 95 · 152 · 160 · 190 · 304 · 380 · 608 · 760 · 1520 (half) · 3040

Aliquot sum (sum of proper divisors): 4,520

Factor pairs (a × b = 3,040)

1 × 3040

2 × 1520

4 × 760

5 × 608

8 × 380

10 × 304

16 × 190

19 × 160

20 × 152

32 × 95

38 × 80

40 × 76

First multiples

3,040 · 6,080 (double) · 9,120 · 12,160 · 15,200 · 18,240 · 21,280 · 24,320 · 27,360 · 30,400

Sums & aliquot sequence

As consecutive integers: 606 + 607 + 608 + 609 + 610 151 + 152 + … + 169 16 + 17 + … + 79

Aliquot sequence: 3,040 → 4,520 → 5,740 → 8,372 → 10,444 → 10,500 → 24,444 → 46,900 → 71,148 → 141,120 → 423,522 → 682,398 → 834,162 → 1,072,590 → 1,501,698 → 1,837,374 → 2,904,258 — unresolved within range

Continued fraction of √n

√3,040 = [55; (7, 2, 1, 11, 1, 1, 3, 27, 3, 1, 1, 11, 1, 2, 7, 110)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: three thousand forty
Ordinal: 3040th
Roman numeral: MMMXL
Binary: 101111100000
Octal: 5740
Hexadecimal: 0xBE0
Base64: C+A=
One's complement: 62,495 (16-bit)
Scientific notation: 3.04 × 10³
As a duration: 3,040 s = 50 minutes, 40 seconds

In other bases

ternary (3) 11011121

quaternary (4) 233200

quinary (5) 44130

senary (6) 22024

septenary (7) 11602

nonary (9) 4147

undecimal (11) 2314

duodecimal (12) 1914

tridecimal (13) 14cb

tetradecimal (14) 1172

pentadecimal (15) d7a

As an angle

3,040° = 8 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵γμʹ
Mayan (base 20): 𝋧·𝋬·𝋠
Chinese: 三千零四十
Chinese (financial): 參仟零肆拾

In other modern scripts

Eastern Arabic ٣٠٤٠ Devanagari ३०४० Bengali ৩০৪০ Tamil ௩௦௪௦ Thai ๓๐๔๐ Tibetan ༣༠༤༠ Khmer ៣០៤០ Lao ໓໐໔໐ Burmese ၃၀၄၀

Digit at this position in famous constants

π — Pi (π): Digit 3,040 = 3
e — Euler's number (e): Digit 3,040 = 4
φ — Golden ratio (φ): Digit 3,040 = 5
√2 — Pythagoras's (√2): Digit 3,040 = 2
ln 2 — Natural log of 2: Digit 3,040 = 2
γ — Euler-Mascheroni (γ): Digit 3,040 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3040, here are decompositions:

3 + 3037 = 3040
17 + 3023 = 3040
29 + 3011 = 3040
41 + 2999 = 3040
71 + 2969 = 3040
83 + 2957 = 3040
101 + 2939 = 3040
113 + 2927 = 3040

Showing the first eight; more decompositions exist.

Hex color

#000BE0

RGB(0, 11, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.224.

Address: 0.0.11.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.224

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

Musical pitch

Heard as a frequency, 3,040 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +46¢ — about midway to G7)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -16¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +47¢ — about midway to G♯7)

Position in π

The digit sequence 3040 first appears in π at position 19,630 of the decimal expansion (the 19,630ordinal-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 3040 on Pi Search ↗