Live analysis

3,744

3,744 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.).

3,744 (three thousand seven hundred forty-four) is an even 4-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 3² × 13. Its proper divisors sum to 7,722, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMDCCXLIV and in binary, 111010100000.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,732 3,733 3,734 3,735 3,736 3,737 3,738 3,739 3,740 3,741 3,742 3,743 3,744 3,745 3,746 3,747 3,748 3,749 3,750 3,751 3,752 3,753 3,754 3,755 3,756

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 336
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 4,473
Recamán's sequence: a(6,440) = 3,744
Square (n²): 14,017,536
Cube (n³): 52,481,654,784
Divisor count: 36
σ(n) — sum of divisors: 11,466
φ(n) — Euler's totient: 1,152
Sum of prime factors: 29

Primality

Prime factorization: 2 ⁵ × 3 ² × 13

Nearest primes: 3,739 (−5) · 3,761 (+17)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 16 · 18 · 24 · 26 · 32 · 36 · 39 · 48 · 52 · 72 · 78 · 96 · 104 · 117 · 144 · 156 · 208 · 234 · 288 · 312 · 416 · 468 · 624 · 936 · 1248 · 1872 (half) · 3744

Aliquot sum (sum of proper divisors): 7,722

Factor pairs (a × b = 3,744)

1 × 3744

2 × 1872

3 × 1248

4 × 936

6 × 624

8 × 468

9 × 416

12 × 312

13 × 288

16 × 234

18 × 208

24 × 156

26 × 144

32 × 117

36 × 104

39 × 96

48 × 78

52 × 72

First multiples

3,744 · 7,488 (double) · 11,232 · 14,976 · 18,720 · 22,464 · 26,208 · 29,952 · 33,696 · 37,440

Sums & aliquot sequence

As a sum of two squares: 12² + 60²

As a sum of two cubes: 10³ + 14³

As consecutive integers: 1,247 + 1,248 + 1,249 412 + 413 + … + 420 282 + 283 + … + 294 77 + 78 + … + 115

Aliquot sequence: 3,744 → 7,722 → 12,438 → 14,550 → 21,906 → 25,596 → 42,164 → 33,100 → 38,944 → 37,790 → 30,250 → 31,994 → 18,874 → 9,440 → 13,240 → 16,640 → 26,284 — unresolved within range

Continued fraction of √n

√3,744 = [61; (5, 3, 5, 122)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: three thousand seven hundred forty-four
Ordinal: 3744th
Roman numeral: MMMDCCXLIV
Binary: 111010100000
Octal: 7240
Hexadecimal: 0xEA0
Base64: DqA=
One's complement: 61,791 (16-bit)
Scientific notation: 3.744 × 10³
As a duration: 3,744 s = 1 hour, 2 minutes, 24 seconds

In other bases

ternary (3) 12010200

quaternary (4) 322200

quinary (5) 104434

senary (6) 25200

septenary (7) 13626

nonary (9) 5120

undecimal (11) 28a4

duodecimal (12) 2200

tridecimal (13) 1920

tetradecimal (14) 1516

pentadecimal (15) 1199

As an angle

3,744° = 10 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γψμδʹ
Mayan (base 20): 𝋩·𝋧·𝋤
Chinese: 三千七百四十四
Chinese (financial): 參仟柒佰肆拾肆

In other modern scripts

Eastern Arabic ٣٧٤٤ Devanagari ३७४४ Bengali ৩৭৪৪ Tamil ௩௭௪௪ Thai ๓๗๔๔ Tibetan ༣༧༤༤ Khmer ៣៧៤៤ Lao ໓໗໔໔ Burmese ၃၇၄၄

Digit at this position in famous constants

π — Pi (π): Digit 3,744 = 4
e — Euler's number (e): Digit 3,744 = 0
φ — Golden ratio (φ): Digit 3,744 = 2
√2 — Pythagoras's (√2): Digit 3,744 = 7
ln 2 — Natural log of 2: Digit 3,744 = 1
γ — Euler-Mascheroni (γ): Digit 3,744 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3744, here are decompositions:

5 + 3739 = 3744
11 + 3733 = 3744
17 + 3727 = 3744
43 + 3701 = 3744
47 + 3697 = 3744
53 + 3691 = 3744
67 + 3677 = 3744
71 + 3673 = 3744

Showing the first eight; more decompositions exist.

Unicode codepoint

ຠ

Lao Letter Pali Bha

U+0EA0

Other letter (Lo)

UTF-8 encoding: E0 BA A0 (3 bytes).

Lookup U+0EA0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000EA0

RGB(0, 14, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.160.

Address: 0.0.14.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.160

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

Musical pitch

Heard as a frequency, 3,744 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, +7¢)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +44¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, +8¢)

Position in π

The digit sequence 3744 first appears in π at position 1,247 of the decimal expansion (the 1,247ordinal-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 3744 on Pi Search ↗