Live analysis

3,172

3,172 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.).

3,172 (three thousand one hundred seventy-two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 61. Written other ways, in Roman numerals it is MMMCLXXII and in binary, 110001100100.

Cube-Free Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

3,160 3,161 3,162 3,163 3,164 3,165 3,166 3,167 3,168 3,169 3,170 3,171 3,172 3,173 3,174 3,175 3,176 3,177 3,178 3,179 3,180 3,181 3,182 3,183 3,184

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 42
Digital root: 4
Palindrome: No
Bit width: 12 bits
Reversed: 2,713
Recamán's sequence: a(7,004) = 3,172
Square (n²): 10,061,584
Cube (n³): 31,915,344,448
Divisor count: 12
σ(n) — sum of divisors: 6,076
φ(n) — Euler's totient: 1,440
Sum of prime factors: 78

Primality

Prime factorization: 2 ² × 13 × 61

Nearest primes: 3,169 (−3) · 3,181 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 13 · 26 · 52 · 61 · 122 · 244 · 793 · 1586 (half) · 3172

Aliquot sum (sum of proper divisors): 2,904

Factor pairs (a × b = 3,172)

1 × 3172

2 × 1586

4 × 793

13 × 244

26 × 122

52 × 61

First multiples

3,172 · 6,344 (double) · 9,516 · 12,688 · 15,860 · 19,032 · 22,204 · 25,376 · 28,548 · 31,720

Sums & aliquot sequence

As a sum of two squares: 6² + 56² = 16² + 54²

As consecutive integers: 393 + 394 + … + 400 238 + 239 + … + 250 22 + 23 + … + 82

Aliquot sequence: 3,172 → 2,904 → 5,076 → 8,364 → 12,804 → 20,124 → 35,932 → 31,884 → 42,540 → 76,740 → 138,300 → 262,716 → 350,316 → 562,596 → 762,588 → 1,307,172 → 1,777,084 — unresolved within range

Continued fraction of √n

√3,172 = [56; (3, 8, 3, 112)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: three thousand one hundred seventy-two
Ordinal: 3172nd
Roman numeral: MMMCLXXII
Binary: 110001100100
Octal: 6144
Hexadecimal: 0xC64
Base64: DGQ=
One's complement: 62,363 (16-bit)
Scientific notation: 3.172 × 10³
As a duration: 3,172 s = 52 minutes, 52 seconds

In other bases

ternary (3) 11100111

quaternary (4) 301210

quinary (5) 100142

senary (6) 22404

septenary (7) 12151

nonary (9) 4314

undecimal (11) 2424

duodecimal (12) 1a04

tridecimal (13) 15a0

tetradecimal (14) 1228

pentadecimal (15) e17

Palindromic in base 3

As an angle

3,172° = 8 × 360° + 292°

292° ≈ 5.096 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵γροβʹ
Mayan (base 20): 𝋧·𝋲·𝋬
Chinese: 三千一百七十二
Chinese (financial): 參仟壹佰柒拾貳

In other modern scripts

Eastern Arabic ٣١٧٢ Devanagari ३१७२ Bengali ৩১৭২ Tamil ௩௧௭௨ Thai ๓๑๗๒ Tibetan ༣༡༧༢ Khmer ៣១៧២ Lao ໓໑໗໒ Burmese ၃၁၇၂

Digit at this position in famous constants

π — Pi (π): Digit 3,172 = 0
e — Euler's number (e): Digit 3,172 = 1
φ — Golden ratio (φ): Digit 3,172 = 0
√2 — Pythagoras's (√2): Digit 3,172 = 1
ln 2 — Natural log of 2: Digit 3,172 = 6
γ — Euler-Mascheroni (γ): Digit 3,172 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3172, here are decompositions:

3 + 3169 = 3172
5 + 3167 = 3172
53 + 3119 = 3172
83 + 3089 = 3172
89 + 3083 = 3172
131 + 3041 = 3172
149 + 3023 = 3172
173 + 2999 = 3172

Showing the first eight; more decompositions exist.

Hex color

#000C64

RGB(0, 12, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.100.

Address: 0.0.12.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.100

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

Musical pitch

Heard as a frequency, 3,172 Hz is closest to:

Concert pitch (A4 = 440 Hz): G7 (3136 Hz, +20¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -43¢)
Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, +21¢)

Position in π

The digit sequence 3172 first appears in π at position 137 of the decimal expansion (the 137ordinal-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 3172 on Pi Search ↗