Live analysis

10,062

10,062 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.).

10,062 (ten thousand sixty-two) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 13 × 43. Its proper divisors sum to 13,962, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x274E.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

10,050 10,051 10,052 10,053 10,054 10,055 10,056 10,057 10,058 10,059 10,060 10,061 10,062 10,063 10,064 10,065 10,066 10,067 10,068 10,069 10,070 10,071 10,072 10,073 10,074

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 26,001
Recamán's sequence: a(4,911) = 10,062
Square (n²): 101,243,844
Cube (n³): 1,018,715,558,328
Divisor count: 24
σ(n) — sum of divisors: 24,024
φ(n) — Euler's totient: 3,024
Sum of prime factors: 64

Primality

Prime factorization: 2 × 3 ² × 13 × 43

Nearest primes: 10,061 (−1) · 10,067 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 43 · 78 · 86 · 117 · 129 · 234 · 258 · 387 · 559 · 774 · 1118 · 1677 · 3354 · 5031 (half) · 10062

Aliquot sum (sum of proper divisors): 13,962

Factor pairs (a × b = 10,062)

1 × 10062

2 × 5031

3 × 3354

6 × 1677

9 × 1118

13 × 774

18 × 559

26 × 387

39 × 258

43 × 234

78 × 129

86 × 117

First multiples

10,062 · 20,124 (double) · 30,186 · 40,248 · 50,310 · 60,372 · 70,434 · 80,496 · 90,558 · 100,620

Sums & aliquot sequence

As consecutive integers: 3,353 + 3,354 + 3,355 2,514 + 2,515 + 2,516 + 2,517 1,114 + 1,115 + … + 1,122 833 + 834 + … + 844

Aliquot sequence: 10,062 → 13,962 → 16,278 → 16,290 → 26,298 → 32,262 → 35,898 → 38,598 → 49,722 → 49,734 → 62,070 → 86,970 → 138,822 → 155,370 → 217,590 → 304,698 → 319,398 — unresolved within range

Continued fraction of √n

√10,062 = [100; (3, 4, 3, 200)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: ten thousand sixty-two
Ordinal: 10062nd
Binary: 10011101001110
Octal: 23516
Hexadecimal: 0x274E
Base64: J04=
One's complement: 55,473 (16-bit)
Scientific notation: 1.0062 × 10⁴
As a duration: 10,062 s = 2 hours, 47 minutes, 42 seconds

In other bases

ternary (3) 111210200

quaternary (4) 2131032

quinary (5) 310222

senary (6) 114330

septenary (7) 41223

nonary (9) 14720

undecimal (11) 7618

duodecimal (12) 59a6

tridecimal (13) 4770

tetradecimal (14) 394a

pentadecimal (15) 2eac

As an angle

10,062° = 27 × 360° + 342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ιξβʹ
Mayan (base 20): 𝋡·𝋥·𝋣·𝋢
Chinese: 一萬零六十二
Chinese (financial): 壹萬零陸拾貳

In other modern scripts

Eastern Arabic ١٠٠٦٢ Devanagari १००६२ Bengali ১০০৬২ Tamil ௧௦௦௬௨ Thai ๑๐๐๖๒ Tibetan ༡༠༠༦༢ Khmer ១០០៦២ Lao ໑໐໐໖໒ Burmese ၁၀၀၆၂

Digit at this position in famous constants

π — Pi (π): Digit 10,062 = 4
e — Euler's number (e): Digit 10,062 = 3
φ — Golden ratio (φ): Digit 10,062 = 0
√2 — Pythagoras's (√2): Digit 10,062 = 3
ln 2 — Natural log of 2: Digit 10,062 = 7
γ — Euler-Mascheroni (γ): Digit 10,062 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10062, here are decompositions:

23 + 10039 = 10062
53 + 10009 = 10062
89 + 9973 = 10062
113 + 9949 = 10062
131 + 9931 = 10062
139 + 9923 = 10062
179 + 9883 = 10062
191 + 9871 = 10062

Showing the first eight; more decompositions exist.

Unicode codepoint

❎

Negative Squared Cross Mark

U+274E

Other symbol (So)

UTF-8 encoding: E2 9D 8E (3 bytes).

Lookup U+274E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00274E

RGB(0, 39, 78)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.78.

Address: 0.0.39.78
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.78

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

Musical pitch

Heard as a frequency, 10,062 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +18¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -44¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +20¢)

Position in π

The digit sequence 10062 first appears in π at position 91,493 of the decimal expansion (the 91,493ordinal-suffix:rd 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 10062 on Pi Search ↗