Live analysis

3,706

3,706 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.).

3,706 (three thousand seven hundred six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 17 × 109. Written other ways, in Roman numerals it is MMMDCCVI and in binary, 111001111010.

Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Self Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,694 3,695 3,696 3,697 3,698 3,699 3,700 3,701 3,702 3,703 3,704 3,705 3,706 3,707 3,708 3,709 3,710 3,711 3,712 3,713 3,714 3,715 3,716 3,717 3,718

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 6,073
Recamán's sequence: a(6,516) = 3,706
Square (n²): 13,734,436
Cube (n³): 50,899,819,816
Divisor count: 8
σ(n) — sum of divisors: 5,940
φ(n) — Euler's totient: 1,728
Sum of prime factors: 128

Primality

Prime factorization: 2 × 17 × 109

Nearest primes: 3,701 (−5) · 3,709 (+3)

Divisors & multiples

All divisors (8)

1 · 2 · 17 · 34 · 109 · 218 · 1853 (half) · 3706

Aliquot sum (sum of proper divisors): 2,234

Factor pairs (a × b = 3,706)

1 × 3706

2 × 1853

17 × 218

34 × 109

First multiples

3,706 · 7,412 (double) · 11,118 · 14,824 · 18,530 · 22,236 · 25,942 · 29,648 · 33,354 · 37,060

Sums & aliquot sequence

As a sum of two squares: 15² + 59² = 41² + 45²

As consecutive integers: 925 + 926 + 927 + 928 210 + 211 + … + 226 21 + 22 + … + 88

Aliquot sequence: 3,706 → 2,234 → 1,120 → 1,904 → 2,560 → 3,578 → 1,792 → 2,296 → 2,744 → 3,256 → 3,584 → 4,600 → 6,560 → 9,316 → 8,072 → 7,078 → 3,542 — unresolved within range

Continued fraction of √n

√3,706 = [60; (1, 7, 7, 1, 120)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words: three thousand seven hundred six
Ordinal: 3706th
Roman numeral: MMMDCCVI
Binary: 111001111010
Octal: 7172
Hexadecimal: 0xE7A
Base64: Dno=
One's complement: 61,829 (16-bit)
Scientific notation: 3.706 × 10³
As a duration: 3,706 s = 1 hour, 1 minute, 46 seconds

In other bases

ternary (3) 12002021

quaternary (4) 321322

quinary (5) 104311

senary (6) 25054

septenary (7) 13543

nonary (9) 5067

undecimal (11) 286a

duodecimal (12) 218a

tridecimal (13) 18c1

tetradecimal (14) 14ca

pentadecimal (15) 1171

As an angle

3,706° = 10 × 360° + 106°

106° ≈ 1.85 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γψϛʹ
Mayan (base 20): 𝋩·𝋥·𝋦
Chinese: 三千七百零六
Chinese (financial): 參仟柒佰零陸

In other modern scripts

Eastern Arabic ٣٧٠٦ Devanagari ३७०६ Bengali ৩৭০৬ Tamil ௩௭௦௬ Thai ๓๗๐๖ Tibetan ༣༧༠༦ Khmer ៣៧០៦ Lao ໓໗໐໖ Burmese ၃၇၀၆

Digit at this position in famous constants

π — Pi (π): Digit 3,706 = 6
e — Euler's number (e): Digit 3,706 = 3
φ — Golden ratio (φ): Digit 3,706 = 6
√2 — Pythagoras's (√2): Digit 3,706 = 9
ln 2 — Natural log of 2: Digit 3,706 = 8
γ — Euler-Mascheroni (γ): Digit 3,706 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3706, here are decompositions:

5 + 3701 = 3706
29 + 3677 = 3706
47 + 3659 = 3706
83 + 3623 = 3706
89 + 3617 = 3706
113 + 3593 = 3706
149 + 3557 = 3706
167 + 3539 = 3706

Showing the first eight; more decompositions exist.

Hex color

#000E7A

RGB(0, 14, 122)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.122.

Address: 0.0.14.122
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.122

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

Musical pitch

Heard as a frequency, 3,706 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -11¢)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +27¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -10¢)

Position in π

The digit sequence 3706 first appears in π at position 2,884 of the decimal expansion (the 2,884ordinal-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 3706 on Pi Search ↗