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10,506

10,506 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.).
Abundant Number Arithmetic Number Odious Number Pernicious Number Pronic / Oblong Recamán's Sequence Semiperfect Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
60,501
Recamán's sequence
a(50,507) = 10,506
Square (n²)
110,376,036
Cube (n³)
1,159,610,634,216
Divisor count
16
σ(n) — sum of divisors
22,464
φ(n) — Euler's totient
3,264
Sum of prime factors
125

Primality

Prime factorization: 2 × 3 × 17 × 103

Nearest primes: 10,501 (−5) · 10,513 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 17 · 34 · 51 · 102 · 103 · 206 · 309 · 618 · 1751 · 3502 · 5253 (half) · 10506
Aliquot sum (sum of proper divisors): 11,958
Factor pairs (a × b = 10,506)
1 × 10506
2 × 5253
3 × 3502
6 × 1751
17 × 618
34 × 309
51 × 206
102 × 103
First multiples
10,506 · 21,012 (double) · 31,518 · 42,024 · 52,530 · 63,036 · 73,542 · 84,048 · 94,554 · 105,060

Sums & aliquot sequence

As consecutive integers: 3,501 + 3,502 + 3,503 2,625 + 2,626 + 2,627 + 2,628 870 + 871 + … + 881 610 + 611 + … + 626
Aliquot sequence: 10,506 11,958 11,970 25,470 40,986 63,558 91,962 129,798 151,470 318,978 465,102 715,338 998,262 1,235,658 1,296,438 1,751,754 1,767,606 — unresolved within range

Representations

In words
ten thousand five hundred six
Ordinal
10506th
Binary
10100100001010
Octal
24412
Hexadecimal
0x290A
Base64
KQo=
One's complement
55,029 (16-bit)
In other bases
ternary (3) 112102010
quaternary (4) 2210022
quinary (5) 314011
senary (6) 120350
septenary (7) 42426
nonary (9) 15363
undecimal (11) 7991
duodecimal (12) 60b6
tridecimal (13) 4a22
tetradecimal (14) 3b86
pentadecimal (15) 31a6

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιφϛʹ
Mayan (base 20)
𝋡·𝋦·𝋥·𝋦
Chinese
一萬零五百零六
Chinese (financial)
壹萬零伍佰零陸
In other modern scripts
Eastern Arabic ١٠٥٠٦ Devanagari १०५०६ Bengali ১০৫০৬ Tamil ௧௦௫௦௬ Thai ๑๐๕๐๖ Tibetan ༡༠༥༠༦ Khmer ១០៥០៦ Lao ໑໐໕໐໖ Burmese ၁၀၅၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 10,506 = 9
e — Euler's number (e)
Digit 10,506 = 6
φ — Golden ratio (φ)
Digit 10,506 = 4
√2 — Pythagoras's (√2)
Digit 10,506 = 2
ln 2 — Natural log of 2
Digit 10,506 = 4
γ — Euler-Mascheroni (γ)
Digit 10,506 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10506, here are decompositions:

  • 5 + 10501 = 10506
  • 7 + 10499 = 10506
  • 19 + 10487 = 10506
  • 29 + 10477 = 10506
  • 43 + 10463 = 10506
  • 47 + 10459 = 10506
  • 53 + 10453 = 10506
  • 73 + 10433 = 10506

Showing the first eight; more decompositions exist.

Unicode codepoint
Upwards Triple Arrow
U+290A
Math symbol (Sm)

UTF-8 encoding: E2 A4 8A (3 bytes).

Hex color
#00290A
RGB(0, 41, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.10.

Address
0.0.41.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.10

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

Position in π

The digit sequence 10506 first appears in π at position 154,222 of the decimal expansion (the 154,222ordinal-suffix:nd 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.