Live analysis

4,960

4,960 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.).

4,960 (four thousand nine hundred sixty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 31. Its proper divisors sum to 7,136, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1360.

Abundant Number Arithmetic Number Centered Triangular Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Smith Number Tetrahedral

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

4,948 4,949 4,950 4,951 4,952 4,953 4,954 4,955 4,956 4,957 4,958 4,959 4,960 4,961 4,962 4,963 4,964 4,965 4,966 4,967 4,968 4,969 4,970 4,971 4,972

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Properties

Parity: Even
Digit count: 4
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 13 bits
Reversed: 694
Recamán's sequence: a(28,208) = 4,960
Square (n²): 24,601,600
Cube (n³): 122,023,936,000
Divisor count: 24
σ(n) — sum of divisors: 12,096
φ(n) — Euler's totient: 1,920
Sum of prime factors: 46

Primality

Prime factorization: 2 ⁵ × 5 × 31

Nearest primes: 4,957 (−3) · 4,967 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 31 · 32 · 40 · 62 · 80 · 124 · 155 · 160 · 248 · 310 · 496 · 620 · 992 · 1240 · 2480 (half) · 4960

Aliquot sum (sum of proper divisors): 7,136

Factor pairs (a × b = 4,960)

1 × 4960

2 × 2480

4 × 1240

5 × 992

8 × 620

10 × 496

16 × 310

20 × 248

31 × 160

32 × 155

40 × 124

62 × 80

First multiples

4,960 · 9,920 (double) · 14,880 · 19,840 · 24,800 · 29,760 · 34,720 · 39,680 · 44,640 · 49,600

Sums & aliquot sequence

As consecutive integers: 990 + 991 + 992 + 993 + 994 145 + 146 + … + 175 46 + 47 + … + 109

Aliquot sequence: 4,960 → 7,136 → 6,976 → 6,994 → 4,346 → 2,458 → 1,232 → 1,744 → 1,666 → 1,412 → 1,066 → 698 → 352 → 404 → 310 → 266 → 214 — unresolved within range

Continued fraction of √n

√4,960 = [70; (2, 2, 1, 14, 1, 14, 1, 2, 2, 140)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: four thousand nine hundred sixty
Ordinal: 4960th
Binary: 1001101100000
Octal: 11540
Hexadecimal: 0x1360
Base64: E2A=
One's complement: 60,575 (16-bit)
Scientific notation: 4.96 × 10³
As a duration: 4,960 s = 1 hour, 22 minutes, 40 seconds

In other bases

ternary (3) 20210201

quaternary (4) 1031200

quinary (5) 124320

senary (6) 34544

septenary (7) 20314

nonary (9) 6721

undecimal (11) 37aa

duodecimal (12) 2a54

tridecimal (13) 2347

tetradecimal (14) 1b44

pentadecimal (15) 170a

As an angle

4,960° = 13 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵δϡξʹ
Mayan (base 20): 𝋬·𝋨·𝋠
Chinese: 四千九百六十
Chinese (financial): 肆仟玖佰陸拾

In other modern scripts

Eastern Arabic ٤٩٦٠ Devanagari ४९६० Bengali ৪৯৬০ Tamil ௪௯௬௦ Thai ๔๙๖๐ Tibetan ༤༩༦༠ Khmer ៤៩៦០ Lao ໔໙໖໐ Burmese ၄၉၆၀

Digit at this position in famous constants

π — Pi (π): Digit 4,960 = 4
e — Euler's number (e): Digit 4,960 = 3
φ — Golden ratio (φ): Digit 4,960 = 6
√2 — Pythagoras's (√2): Digit 4,960 = 4
ln 2 — Natural log of 2: Digit 4,960 = 8
γ — Euler-Mascheroni (γ): Digit 4,960 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4960, here are decompositions:

3 + 4957 = 4960
17 + 4943 = 4960
23 + 4937 = 4960
29 + 4931 = 4960
41 + 4919 = 4960
71 + 4889 = 4960
83 + 4877 = 4960
89 + 4871 = 4960

Showing the first eight; more decompositions exist.

Unicode codepoint

፠

Ethiopic Section Mark

U+1360

Other punctuation (Po)

UTF-8 encoding: E1 8D A0 (3 bytes).

Lookup U+1360 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001360

RGB(0, 19, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.96.

Address: 0.0.19.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.19.96

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

Musical pitch

Heard as a frequency, 4,960 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, -6¢)
Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, +31¢)
Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, -5¢)

Position in π

The digit sequence 4960 first appears in π at position 8,959 of the decimal expansion (the 8,959ordinal-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 4960 on Pi Search ↗