Live analysis

5,960

5,960 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.).

5,960 (five thousand nine hundred sixty) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 149. Its proper divisors sum to 7,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1748.

Abundant Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

5,948 5,949 5,950 5,951 5,952 5,953 5,954 5,955 5,956 5,957 5,958 5,959 5,960 5,961 5,962 5,963 5,964 5,965 5,966 5,967 5,968 5,969 5,970 5,971 5,972

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 13 bits
Reversed: 695
Recamán's sequence: a(12,843) = 5,960
Square (n²): 35,521,600
Cube (n³): 211,708,736,000
Divisor count: 16
σ(n) — sum of divisors: 13,500
φ(n) — Euler's totient: 2,368
Sum of prime factors: 160

Primality

Prime factorization: 2 ³ × 5 × 149

Nearest primes: 5,953 (−7) · 5,981 (+21)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 149 · 298 · 596 · 745 · 1192 · 1490 · 2980 (half) · 5960

Aliquot sum (sum of proper divisors): 7,540

Factor pairs (a × b = 5,960)

1 × 5960

2 × 2980

4 × 1490

5 × 1192

8 × 745

10 × 596

20 × 298

40 × 149

First multiples

5,960 · 11,920 (double) · 17,880 · 23,840 · 29,800 · 35,760 · 41,720 · 47,680 · 53,640 · 59,600

Sums & aliquot sequence

As a sum of two squares: 22² + 74² = 46² + 62²

As consecutive integers: 1,190 + 1,191 + 1,192 + 1,193 + 1,194 365 + 366 + … + 380 35 + 36 + … + 114

Aliquot sequence: 5,960 → 7,540 → 10,100 → 12,034 → 7,694 → 3,850 → 5,078 → 2,542 → 1,490 → 1,210 → 1,184 → 1,210 — enters a cycle

Continued fraction of √n

√5,960 = [77; (4, 1, 37, 1, 4, 154)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: five thousand nine hundred sixty
Ordinal: 5960th
Binary: 1011101001000
Octal: 13510
Hexadecimal: 0x1748
Base64: F0g=
One's complement: 59,575 (16-bit)
Scientific notation: 5.96 × 10³
As a duration: 5,960 s = 1 hour, 39 minutes, 20 seconds

In other bases

ternary (3) 22011202

quaternary (4) 1131020

quinary (5) 142320

senary (6) 43332

septenary (7) 23243

nonary (9) 8152

undecimal (11) 4529

duodecimal (12) 3548

tridecimal (13) 2936

tetradecimal (14) 225a

pentadecimal (15) 1b75

As an angle

5,960° = 16 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵εϡξʹ
Mayan (base 20): 𝋮·𝋲·𝋠
Chinese: 五千九百六十
Chinese (financial): 伍仟玖佰陸拾

In other modern scripts

Eastern Arabic ٥٩٦٠ Devanagari ५९६० Bengali ৫৯৬০ Tamil ௫௯௬௦ Thai ๕๙๖๐ Tibetan ༥༩༦༠ Khmer ៥៩៦០ Lao ໕໙໖໐ Burmese ၅၉၆၀

Digit at this position in famous constants

π — Pi (π): Digit 5,960 = 8
e — Euler's number (e): Digit 5,960 = 0
φ — Golden ratio (φ): Digit 5,960 = 3
√2 — Pythagoras's (√2): Digit 5,960 = 9
ln 2 — Natural log of 2: Digit 5,960 = 0
γ — Euler-Mascheroni (γ): Digit 5,960 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5960, here are decompositions:

7 + 5953 = 5960
37 + 5923 = 5960
79 + 5881 = 5960
103 + 5857 = 5960
109 + 5851 = 5960
139 + 5821 = 5960
181 + 5779 = 5960
211 + 5749 = 5960

Showing the first eight; more decompositions exist.

Unicode codepoint

ᝈ

Buhid Letter Na

U+1748

Other letter (Lo)

UTF-8 encoding: E1 9D 88 (3 bytes).

Lookup U+1748 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001748

RGB(0, 23, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.72.

Address: 0.0.23.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.23.72

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

Musical pitch

Heard as a frequency, 5,960 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +12¢)
Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, +49¢ — about midway to G8)
Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +13¢)

Position in π

The digit sequence 5960 first appears in π at position 1,518 of the decimal expansion (the 1,518ordinal-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 5960 on Pi Search ↗