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105,472

105,472 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.).

105,472 (one hundred five thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 22 divisors, and factors as 2¹⁰ × 103. Its proper divisors sum to 107,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19C00.

Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
274,501
Recamán's sequence
a(43,435) = 105,472
Square (n²)
11,124,342,784
Cube (n³)
1,173,306,682,114,048
Divisor count
22
σ(n) — sum of divisors
212,888
φ(n) — Euler's totient
52,224
Sum of prime factors
123

Primality

Prime factorization: 2 10 × 103

Nearest primes: 105,467 (−5) · 105,491 (+19)

Divisors & multiples

All divisors (22)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 103 · 128 · 206 · 256 · 412 · 512 · 824 · 1024 · 1648 · 3296 · 6592 · 13184 · 26368 · 52736 (half) · 105472
Aliquot sum (sum of proper divisors): 107,416
Factor pairs (a × b = 105,472)
1 × 105472
2 × 52736
4 × 26368
8 × 13184
16 × 6592
32 × 3296
64 × 1648
103 × 1024
128 × 824
206 × 512
256 × 412
First multiples
105,472 · 210,944 (double) · 316,416 · 421,888 · 527,360 · 632,832 · 738,304 · 843,776 · 949,248 · 1,054,720

Sums & aliquot sequence

As consecutive integers: 973 + 974 + … + 1,075
Aliquot sequence: 105,472 107,416 101,384 114,616 100,304 94,066 67,214 48,034 37,214 21,106 11,258 6,970 6,638 3,322 2,150 1,942 974 — unresolved within range

Continued fraction of √n

√105,472 = [324; (1, 3, 4, 19, 2, 4, 3, 1, 15, 1, 8, 4, 1, 4, 4, 2, 1, 161, 1, 2, 4, 4, 1, 4, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred five thousand four hundred seventy-two
Ordinal
105472nd
Binary
11001110000000000
Octal
316000
Hexadecimal
0x19C00
Base64
AZwA
One's complement
4,294,861,823 (32-bit)
Scientific notation
1.05472 × 10⁵
As a duration
105,472 s = 1 day, 5 hours, 17 minutes, 52 seconds
In other bases
ternary (3) 12100200101
quaternary (4) 121300000
quinary (5) 11333342
senary (6) 2132144
septenary (7) 616333
nonary (9) 170611
undecimal (11) 72274
duodecimal (12) 51054
tridecimal (13) 39013
tetradecimal (14) 2a61a
pentadecimal (15) 213b7

As an angle

105,472° = 292 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρευοβʹ
Mayan (base 20)
𝋭·𝋣·𝋭·𝋬
Chinese
一十萬五千四百七十二
Chinese (financial)
壹拾萬伍仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٥٤٧٢ Devanagari १०५४७२ Bengali ১০৫৪৭২ Tamil ௧௦௫௪௭௨ Thai ๑๐๕๔๗๒ Tibetan ༡༠༥༤༧༢ Khmer ១០៥៤៧២ Lao ໑໐໕໔໗໒ Burmese ၁၀၅၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105472, here are decompositions:

  • 5 + 105467 = 105472
  • 23 + 105449 = 105472
  • 71 + 105401 = 105472
  • 83 + 105389 = 105472
  • 113 + 105359 = 105472
  • 131 + 105341 = 105472
  • 149 + 105323 = 105472
  • 233 + 105239 = 105472

Showing the first eight; more decompositions exist.

Hex color
#019C00
RGB(1, 156, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.156.0.

Address
0.1.156.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.156.0

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 105,472 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 105472 first appears in π at position 769,163 of the decimal expansion (the 769,163ordinal-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.

Related reading