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3,729

3,729 is a composite number, odd.

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.).

3,729 (three thousand seven hundred twenty-nine) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3 × 11 × 113. Written other ways, in Roman numerals it is MMMDCCXXIX and in binary, 111010010001.

Arithmetic Number Cube-Free Deficient Number Evil Number Nonagonal Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
21
Digit product
378
Digital root
3
Palindrome
No
Bit width
12 bits
Reversed
9,273
Recamán's sequence
a(6,470) = 3,729
Square (n²)
13,905,441
Cube (n³)
51,853,389,489
Divisor count
8
σ(n) — sum of divisors
5,472
φ(n) — Euler's totient
2,240
Sum of prime factors
127

Primality

Prime factorization: 3 × 11 × 113

Nearest primes: 3,727 (−2) · 3,733 (+4)

Divisors & multiples

All divisors (8)
1 · 3 · 11 · 33 · 113 · 339 · 1243 · 3729
Aliquot sum (sum of proper divisors): 1,743
Factor pairs (a × b = 3,729)
1 × 3729
3 × 1243
11 × 339
33 × 113
First multiples
3,729 · 7,458 (double) · 11,187 · 14,916 · 18,645 · 22,374 · 26,103 · 29,832 · 33,561 · 37,290

Sums & aliquot sequence

As consecutive integers: 1,864 + 1,865 1,242 + 1,243 + 1,244 619 + 620 + 621 + 622 + 623 + 624 334 + 335 + … + 344
Aliquot sequence: 3,729 1,743 945 975 761 1 0 — terminates at zero

Continued fraction of √n

√3,729 = [61; (15, 3, 1, 6, 1, 7, 3, 1, 2, 4, 1, 1, 10, 1, 1, 4, 2, 1, 3, 7, 1, 6, 1, 3, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
three thousand seven hundred twenty-nine
Ordinal
3729th
Roman numeral
MMMDCCXXIX
Binary
111010010001
Octal
7221
Hexadecimal
0xE91
Base64
DpE=
One's complement
61,806 (16-bit)
Scientific notation
3.729 × 10³
As a duration
3,729 s = 1 hour, 2 minutes, 9 seconds
In other bases
ternary (3) 12010010
quaternary (4) 322101
quinary (5) 104404
senary (6) 25133
septenary (7) 13605
nonary (9) 5103
undecimal (11) 2890
duodecimal (12) 21a9
tridecimal (13) 190b
tetradecimal (14) 1505
pentadecimal (15) 1189

As an angle

3,729° = 10 × 360° + 129°
129° ≈ 2.251 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γψκθʹ
Mayan (base 20)
𝋩·𝋦·𝋩
Chinese
三千七百二十九
Chinese (financial)
參仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ٣٧٢٩ Devanagari ३७२९ Bengali ৩৭২৯ Tamil ௩௭௨௯ Thai ๓๗๒๙ Tibetan ༣༧༢༩ Khmer ៣៧២៩ Lao ໓໗໒໙ Burmese ၃၇၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 3,729 = 8
e — Euler's number (e)
Digit 3,729 = 4
φ — Golden ratio (φ)
Digit 3,729 = 7
√2 — Pythagoras's (√2)
Digit 3,729 = 0
ln 2 — Natural log of 2
Digit 3,729 = 6
γ — Euler-Mascheroni (γ)
Digit 3,729 = 8

Also seen as

Unicode codepoint
Lao Letter Pali Dda
U+0E91
Other letter (Lo)

UTF-8 encoding: E0 BA 91 (3 bytes).

Hex color
#000E91
RGB(0, 14, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.145.

Address
0.0.14.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.14.145

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

Musical pitch

Heard as a frequency, 3,729 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, exact)
  • Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +37¢)
  • Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, +1¢)
Position in π

The digit sequence 3729 first appears in π at position 769 of the decimal expansion (the 769ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.