Live analysis

3,372

3,372 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.).

3,372 (three thousand three hundred seventy-two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 281. Its proper divisors sum to 4,524, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCCLXXII and in binary, 110100101100.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

3,360 3,361 3,362 3,363 3,364 3,365 3,366 3,367 3,368 3,369 3,370 3,371 3,372 3,373 3,374 3,375 3,376 3,377 3,378 3,379 3,380 3,381 3,382 3,383 3,384

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 126
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 2,733
Recamán's sequence: a(29,400) = 3,372
Square (n²): 11,370,384
Cube (n³): 38,340,934,848
Divisor count: 12
σ(n) — sum of divisors: 7,896
φ(n) — Euler's totient: 1,120
Sum of prime factors: 288

Primality

Prime factorization: 2 ² × 3 × 281

Nearest primes: 3,371 (−1) · 3,373 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 281 · 562 · 843 · 1124 · 1686 (half) · 3372

Aliquot sum (sum of proper divisors): 4,524

Factor pairs (a × b = 3,372)

1 × 3372

2 × 1686

3 × 1124

4 × 843

6 × 562

12 × 281

First multiples

3,372 · 6,744 (double) · 10,116 · 13,488 · 16,860 · 20,232 · 23,604 · 26,976 · 30,348 · 33,720

Sums & aliquot sequence

As consecutive integers: 1,123 + 1,124 + 1,125 418 + 419 + … + 425 129 + 130 + … + 152

Aliquot sequence: 3,372 → 4,524 → 7,236 → 11,804 → 10,540 → 13,652 → 10,246 → 5,594 → 2,800 → 4,888 → 5,192 → 5,608 → 4,922 → 2,854 → 1,430 → 1,594 → 800 — unresolved within range

Continued fraction of √n

√3,372 = [58; (14, 1, 1, 28, 1, 1, 14, 116)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: three thousand three hundred seventy-two
Ordinal: 3372nd
Roman numeral: MMMCCCLXXII
Binary: 110100101100
Octal: 6454
Hexadecimal: 0xD2C
Base64: DSw=
One's complement: 62,163 (16-bit)
Scientific notation: 3.372 × 10³
As a duration: 3,372 s = 56 minutes, 12 seconds

In other bases

ternary (3) 11121220

quaternary (4) 310230

quinary (5) 101442

senary (6) 23340

septenary (7) 12555

nonary (9) 4556

undecimal (11) 2596

duodecimal (12) 1b50

tridecimal (13) 16c5

tetradecimal (14) 132c

pentadecimal (15) eec

As an angle

3,372° = 9 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵γτοβʹ
Mayan (base 20): 𝋨·𝋨·𝋬
Chinese: 三千三百七十二
Chinese (financial): 參仟參佰柒拾貳

In other modern scripts

Eastern Arabic ٣٣٧٢ Devanagari ३३७२ Bengali ৩৩৭২ Tamil ௩௩௭௨ Thai ๓๓๗๒ Tibetan ༣༣༧༢ Khmer ៣៣៧២ Lao ໓໓໗໒ Burmese ၃၃၇၂

Digit at this position in famous constants

π — Pi (π): Digit 3,372 = 6
e — Euler's number (e): Digit 3,372 = 6
φ — Golden ratio (φ): Digit 3,372 = 0
√2 — Pythagoras's (√2): Digit 3,372 = 5
ln 2 — Natural log of 2: Digit 3,372 = 8
γ — Euler-Mascheroni (γ): Digit 3,372 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3372, here are decompositions:

11 + 3361 = 3372
13 + 3359 = 3372
29 + 3343 = 3372
41 + 3331 = 3372
43 + 3329 = 3372
53 + 3319 = 3372
59 + 3313 = 3372
71 + 3301 = 3372

Showing the first eight; more decompositions exist.

Unicode codepoint

ബ

Malayalam Letter Ba

U+0D2C

Other letter (Lo)

UTF-8 encoding: E0 B4 AC (3 bytes).

Lookup U+0D2C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D2C

RGB(0, 13, 44)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.44.

Address: 0.0.13.44
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.44

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

Musical pitch

Heard as a frequency, 3,372 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +26¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -37¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +27¢)

Position in π

The digit sequence 3372 first appears in π at position 5,977 of the decimal expansion (the 5,977ordinal-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 3372 on Pi Search ↗