Live analysis

4,060

4,060 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.).

4,060 (four thousand sixty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 7 × 29. Its proper divisors sum to 6,020, more than the number itself, making it an abundant number. Written other ways, in binary, 111111011100.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number Tetrahedral

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

4,048 4,049 4,050 4,051 4,052 4,053 4,054 4,055 4,056 4,057 4,058 4,059 4,060 4,061 4,062 4,063 4,064 4,065 4,066 4,067 4,068 4,069 4,070 4,071 4,072

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 12 bits
Reversed: 604
Recamán's sequence: a(14,271) = 4,060
Square (n²): 16,483,600
Cube (n³): 66,923,416,000
Divisor count: 24
σ(n) — sum of divisors: 10,080
φ(n) — Euler's totient: 1,344
Sum of prime factors: 45

Primality

Prime factorization: 2 ² × 5 × 7 × 29

Nearest primes: 4,057 (−3) · 4,073 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 29 · 35 · 58 · 70 · 116 · 140 · 145 · 203 · 290 · 406 · 580 · 812 · 1015 · 2030 (half) · 4060

Aliquot sum (sum of proper divisors): 6,020

Factor pairs (a × b = 4,060)

1 × 4060

2 × 2030

4 × 1015

5 × 812

7 × 580

10 × 406

14 × 290

20 × 203

28 × 145

29 × 140

35 × 116

58 × 70

First multiples

4,060 · 8,120 (double) · 12,180 · 16,240 · 20,300 · 24,360 · 28,420 · 32,480 · 36,540 · 40,600

Sums & aliquot sequence

As consecutive integers: 810 + 811 + 812 + 813 + 814 577 + 578 + … + 583 504 + 505 + … + 511 126 + 127 + … + 154

Aliquot sequence: 4,060 → 6,020 → 8,764 → 8,820 → 22,302 → 35,298 → 44,730 → 90,054 → 105,102 → 122,658 → 122,670 → 214,290 → 343,098 → 523,872 → 1,068,264 → 1,910,556 → 2,991,796 — unresolved within range

Continued fraction of √n

√4,060 = [63; (1, 2, 1, 1, 4, 1, 2, 1, 4, 1, 1, 2, 1, 126)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: four thousand sixty
Ordinal: 4060th
Binary: 111111011100
Octal: 7734
Hexadecimal: 0xFDC
Base64: D9w=
One's complement: 61,475 (16-bit)
Scientific notation: 4.06 × 10³
As a duration: 4,060 s = 1 hour, 7 minutes, 40 seconds

In other bases

ternary (3) 12120101

quaternary (4) 333130

quinary (5) 112220

senary (6) 30444

septenary (7) 14560

nonary (9) 5511

undecimal (11) 3061

duodecimal (12) 2424

tridecimal (13) 1b04

tetradecimal (14) 16a0

pentadecimal (15) 130a

As an angle

4,060° = 11 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵δξʹ
Mayan (base 20): 𝋪·𝋣·𝋠
Chinese: 四千零六十
Chinese (financial): 肆仟零陸拾

In other modern scripts

Eastern Arabic ٤٠٦٠ Devanagari ४०६० Bengali ৪০৬০ Tamil ௪௦௬௦ Thai ๔๐๖๐ Tibetan ༤༠༦༠ Khmer ៤០៦០ Lao ໔໐໖໐ Burmese ၄၀၆၀

Digit at this position in famous constants

π — Pi (π): Digit 4,060 = 7
e — Euler's number (e): Digit 4,060 = 1
φ — Golden ratio (φ): Digit 4,060 = 9
√2 — Pythagoras's (√2): Digit 4,060 = 2
ln 2 — Natural log of 2: Digit 4,060 = 0
γ — Euler-Mascheroni (γ): Digit 4,060 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4060, here are decompositions:

3 + 4057 = 4060
11 + 4049 = 4060
41 + 4019 = 4060
47 + 4013 = 4060
53 + 4007 = 4060
59 + 4001 = 4060
71 + 3989 = 4060
113 + 3947 = 4060

Showing the first eight; more decompositions exist.

Hex color

#000FDC

RGB(0, 15, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.220.

Address: 0.0.15.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.220

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

Musical pitch

Heard as a frequency, 4,060 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +47¢ — about midway to C8)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -15¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +48¢ — about midway to C♯8)

Position in π

The digit sequence 4060 first appears in π at position 9,017 of the decimal expansion (the 9,017ordinal-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 4060 on Pi Search ↗