Live analysis

60,006

60,006 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.).

60,006 (sixty thousand six) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 73 × 137. Its proper divisors sum to 62,538, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0xEA66.

Abundant Number Arithmetic Number Cube-Free Flippable Odious Number Palindrome Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

59,994 59,995 59,996 59,997 59,998 59,999 60,000 60,001 60,002 60,003 60,004 60,005 60,006 60,007 60,008 60,009 60,010 60,011 60,012 60,013 60,014 60,015 60,016 60,017 60,018

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: Yes
Bit width: 16 bits
Flips to (rotate 180°): 90,009
Recamán's sequence: a(26,552) = 60,006
Square (n²): 3,600,720,036
Cube (n³): 216,064,806,480,216
Divisor count: 16
σ(n) — sum of divisors: 122,544
φ(n) — Euler's totient: 19,584
Sum of prime factors: 215

Primality

Prime factorization: 2 × 3 × 73 × 137

Nearest primes: 59,999 (−7) · 60,013 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 73 · 137 · 146 · 219 · 274 · 411 · 438 · 822 · 10001 · 20002 · 30003 (half) · 60006

Aliquot sum (sum of proper divisors): 62,538

Factor pairs (a × b = 60,006)

1 × 60006

2 × 30003

3 × 20002

6 × 10001

73 × 822

137 × 438

146 × 411

219 × 274

First multiples

60,006 · 120,012 (double) · 180,018 · 240,024 · 300,030 · 360,036 · 420,042 · 480,048 · 540,054 · 600,060

Sums & aliquot sequence

As consecutive integers: 20,001 + 20,002 + 20,003 15,000 + 15,001 + 15,002 + 15,003 4,995 + 4,996 + … + 5,006 786 + 787 + … + 858

Aliquot sequence: 60,006 → 62,538 → 80,502 → 80,514 → 128,574 → 157,266 → 183,516 → 256,308 → 421,068 → 561,452 → 421,096 → 429,404 → 322,060 → 354,308 → 272,584 → 278,036 → 266,284 — unresolved within range

Continued fraction of √n

√60,006 = [244; (1, 24, 1, 3, 1, 2, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 5, 1, 1, 2, 12, 2, 244, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: sixty thousand six
Ordinal: 60006th
Binary: 1110101001100110
Octal: 165146
Hexadecimal: 0xEA66
Base64: 6mY=
One's complement: 5,529 (16-bit)
Scientific notation: 6.0006 × 10⁴
As a duration: 60,006 s = 16 hours, 40 minutes, 6 seconds

In other bases

ternary (3) 10001022110

quaternary (4) 32221212

quinary (5) 3410011

senary (6) 1141450

septenary (7) 336642

nonary (9) 101273

undecimal (11) 410a1

duodecimal (12) 2a886

tridecimal (13) 2140b

tetradecimal (14) 17c22

pentadecimal (15) 12ba6

As an angle

60,006° = 166 × 360° + 246°

246° ≈ 4.294 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ξϛʹ
Mayan (base 20): 𝋧·𝋪·𝋠·𝋦
Chinese: 六萬零六
Chinese (financial): 陸萬零陸

In other modern scripts

Eastern Arabic ٦٠٠٠٦ Devanagari ६०००६ Bengali ৬০০০৬ Tamil ௬௦௦௦௬ Thai ๖๐๐๐๖ Tibetan ༦༠༠༠༦ Khmer ៦០០០៦ Lao ໖໐໐໐໖ Burmese ၆၀၀၀၆

Digit at this position in famous constants

π — Pi (π): Digit 60,006 = 1
e — Euler's number (e): Digit 60,006 = 8
φ — Golden ratio (φ): Digit 60,006 = 2
√2 — Pythagoras's (√2): Digit 60,006 = 9
ln 2 — Natural log of 2: Digit 60,006 = 2
γ — Euler-Mascheroni (γ): Digit 60,006 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 60006, here are decompositions:

7 + 59999 = 60006
127 + 59879 = 60006
173 + 59833 = 60006
197 + 59809 = 60006
227 + 59779 = 60006
263 + 59743 = 60006
277 + 59729 = 60006
283 + 59723 = 60006

Showing the first eight; more decompositions exist.

Hex color

#00EA66

RGB(0, 234, 102)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.234.102.

Address: 0.0.234.102
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.234.102

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

Position in π

The digit sequence 60006 first appears in π at position 159,874 of the decimal expansion (the 159,874ordinal-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 60006 on Pi Search ↗