Live analysis

2,960

2,960 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.).

2,960 (two thousand nine hundred sixty) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 37. Its proper divisors sum to 4,108, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCMLX and in binary, 101110010000.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

2,948 2,949 2,950 2,951 2,952 2,953 2,954 2,955 2,956 2,957 2,958 2,959 2,960 2,961 2,962 2,963 2,964 2,965 2,966 2,967 2,968 2,969 2,970 2,971 2,972

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 692
Recamán's sequence: a(1,255) = 2,960
Square (n²): 8,761,600
Cube (n³): 25,934,336,000
Divisor count: 20
σ(n) — sum of divisors: 7,068
φ(n) — Euler's totient: 1,152
Sum of prime factors: 50

Primality

Prime factorization: 2 ⁴ × 5 × 37

Nearest primes: 2,957 (−3) · 2,963 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 37 · 40 · 74 · 80 · 148 · 185 · 296 · 370 · 592 · 740 · 1480 (half) · 2960

Aliquot sum (sum of proper divisors): 4,108

Factor pairs (a × b = 2,960)

1 × 2960

2 × 1480

4 × 740

5 × 592

8 × 370

10 × 296

16 × 185

20 × 148

37 × 80

40 × 74

First multiples

2,960 · 5,920 (double) · 8,880 · 11,840 · 14,800 · 17,760 · 20,720 · 23,680 · 26,640 · 29,600

Sums & aliquot sequence

As a sum of two squares: 16² + 52² = 32² + 44²

As a sum of two cubes: 6³ + 14³

As consecutive integers: 590 + 591 + 592 + 593 + 594 77 + 78 + … + 108 62 + 63 + … + 98

Aliquot sequence: 2,960 → 4,108 → 3,732 → 5,004 → 7,736 → 6,784 → 6,986 → 5,014 → 2,906 → 1,456 → 2,016 → 4,536 → 9,984 → 18,632 → 18,628 → 13,978 → 7,802 — unresolved within range

Continued fraction of √n

√2,960 = [54; (2, 2, 6, 2, 2, 108)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: two thousand nine hundred sixty
Ordinal: 2960th
Roman numeral: MMCMLX
Binary: 101110010000
Octal: 5620
Hexadecimal: 0xB90
Base64: C5A=
One's complement: 62,575 (16-bit)
Scientific notation: 2.96 × 10³
As a duration: 2,960 s = 49 minutes, 20 seconds

In other bases

ternary (3) 11001122

quaternary (4) 232100

quinary (5) 43320

senary (6) 21412

septenary (7) 11426

nonary (9) 4048

undecimal (11) 2251

duodecimal (12) 1868

tridecimal (13) 1469

tetradecimal (14) 1116

pentadecimal (15) d25

Palindromic in base 6

As an angle

2,960° = 8 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵βϡξʹ
Mayan (base 20): 𝋧·𝋨·𝋠
Chinese: 二千九百六十
Chinese (financial): 貳仟玖佰陸拾

In other modern scripts

Eastern Arabic ٢٩٦٠ Devanagari २९६० Bengali ২৯৬০ Tamil ௨௯௬௦ Thai ๒๙๖๐ Tibetan ༢༩༦༠ Khmer ២៩៦០ Lao ໒໙໖໐ Burmese ၂၉၆၀

Digit at this position in famous constants

π — Pi (π): Digit 2,960 = 9
e — Euler's number (e): Digit 2,960 = 4
φ — Golden ratio (φ): Digit 2,960 = 4
√2 — Pythagoras's (√2): Digit 2,960 = 7
ln 2 — Natural log of 2: Digit 2,960 = 4
γ — Euler-Mascheroni (γ): Digit 2,960 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2960, here are decompositions:

3 + 2957 = 2960
7 + 2953 = 2960
43 + 2917 = 2960
73 + 2887 = 2960
103 + 2857 = 2960
109 + 2851 = 2960
127 + 2833 = 2960
157 + 2803 = 2960

Showing the first eight; more decompositions exist.

Unicode codepoint

ஐ

Tamil Letter Ai

U+0B90

Other letter (Lo)

UTF-8 encoding: E0 AE 90 (3 bytes).

Lookup U+0B90 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000B90

RGB(0, 11, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.144.

Address: 0.0.11.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.144

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

Musical pitch

Heard as a frequency, 2,960 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, exact)
Scientific pitch (C4 = 256 Hz): F♯7 (2896.3 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +1¢)

Position in π

The digit sequence 2960 first appears in π at position 14,497 of the decimal expansion (the 14,497ordinal-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 2960 on Pi Search ↗