Live analysis

3,480

3,480 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.).

3,480 (three thousand four hundred eighty) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 29. Its proper divisors sum to 7,320, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCDLXXX and in binary, 110110011000.

Abundant Number Evil Number Gapful Number Harshad / Niven Perrin Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,468 3,469 3,470 3,471 3,472 3,473 3,474 3,475 3,476 3,477 3,478 3,479 3,480 3,481 3,482 3,483 3,484 3,485 3,486 3,487 3,488 3,489 3,490 3,491 3,492

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 843
Recamán's sequence: a(14,931) = 3,480
Square (n²): 12,110,400
Cube (n³): 42,144,192,000
Divisor count: 32
σ(n) — sum of divisors: 10,800
φ(n) — Euler's totient: 896
Sum of prime factors: 43

Primality

Prime factorization: 2 ³ × 3 × 5 × 29

Nearest primes: 3,469 (−11) · 3,491 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 29 · 30 · 40 · 58 · 60 · 87 · 116 · 120 · 145 · 174 · 232 · 290 · 348 · 435 · 580 · 696 · 870 · 1160 · 1740 (half) · 3480

Aliquot sum (sum of proper divisors): 7,320

Factor pairs (a × b = 3,480)

1 × 3480

2 × 1740

3 × 1160

4 × 870

5 × 696

6 × 580

8 × 435

10 × 348

12 × 290

15 × 232

20 × 174

24 × 145

29 × 120

30 × 116

40 × 87

58 × 60

First multiples

3,480 · 6,960 (double) · 10,440 · 13,920 · 17,400 · 20,880 · 24,360 · 27,840 · 31,320 · 34,800

Sums & aliquot sequence

As consecutive integers: 1,159 + 1,160 + 1,161 694 + 695 + 696 + 697 + 698 225 + 226 + … + 239 210 + 211 + … + 225

Aliquot sequence: 3,480 → 7,320 → 15,000 → 31,860 → 68,940 → 140,724 → 224,396 → 168,304 → 164,760 → 329,880 → 660,120 → 1,320,600 → 2,964,840 → 6,228,120 → 14,300,520 → 32,873,880 → 73,983,480 — unresolved within range

Continued fraction of √n

√3,480 = [58; (1, 116)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: three thousand four hundred eighty
Ordinal: 3480th
Roman numeral: MMMCDLXXX
Binary: 110110011000
Octal: 6630
Hexadecimal: 0xD98
Base64: DZg=
One's complement: 62,055 (16-bit)
Scientific notation: 3.48 × 10³
As a duration: 3,480 s = 58 minutes

In other bases

ternary (3) 11202220

quaternary (4) 312120

quinary (5) 102410

senary (6) 24040

septenary (7) 13101

nonary (9) 4686

undecimal (11) 2684

duodecimal (12) 2020

tridecimal (13) 1779

tetradecimal (14) 13a8

pentadecimal (15) 1070

As an angle

3,480° = 9 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵γυπʹ
Mayan (base 20): 𝋨·𝋮·𝋠
Chinese: 三千四百八十
Chinese (financial): 參仟肆佰捌拾

In other modern scripts

Eastern Arabic ٣٤٨٠ Devanagari ३४८० Bengali ৩৪৮০ Tamil ௩௪௮௦ Thai ๓๔๘๐ Tibetan ༣༤༨༠ Khmer ៣៤៨០ Lao ໓໔໘໐ Burmese ၃၄၈၀

Digit at this position in famous constants

π — Pi (π): Digit 3,480 = 2
e — Euler's number (e): Digit 3,480 = 9
φ — Golden ratio (φ): Digit 3,480 = 4
√2 — Pythagoras's (√2): Digit 3,480 = 2
ln 2 — Natural log of 2: Digit 3,480 = 6
γ — Euler-Mascheroni (γ): Digit 3,480 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3480, here are decompositions:

11 + 3469 = 3480
13 + 3467 = 3480
17 + 3463 = 3480
19 + 3461 = 3480
23 + 3457 = 3480
31 + 3449 = 3480
47 + 3433 = 3480
67 + 3413 = 3480

Showing the first eight; more decompositions exist.

Hex color

#000D98

RGB(0, 13, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.152.

Address: 0.0.13.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.152

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

Musical pitch

Heard as a frequency, 3,480 Hz is closest to:

Concert pitch (A4 = 440 Hz): A7 (3520 Hz, -20¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, +18¢)
Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, -19¢)

Position in π

The digit sequence 3480 first appears in π at position 5,900 of the decimal expansion (the 5,900ordinal-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 3480 on Pi Search ↗