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103,472

103,472 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.).

103,472 (one hundred three thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 29 × 223. Its proper divisors sum to 104,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19430.

Abundant Number Arithmetic Number Evil Number Happy Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
274,301
Recamán's sequence
a(95,555) = 103,472
Square (n²)
10,706,454,784
Cube (n³)
1,107,818,289,410,048
Divisor count
20
σ(n) — sum of divisors
208,320
φ(n) — Euler's totient
49,728
Sum of prime factors
260

Primality

Prime factorization: 2 4 × 29 × 223

Nearest primes: 103,471 (−1) · 103,483 (+11)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 29 · 58 · 116 · 223 · 232 · 446 · 464 · 892 · 1784 · 3568 · 6467 · 12934 · 25868 · 51736 (half) · 103472
Aliquot sum (sum of proper divisors): 104,848
Factor pairs (a × b = 103,472)
1 × 103472
2 × 51736
4 × 25868
8 × 12934
16 × 6467
29 × 3568
58 × 1784
116 × 892
223 × 464
232 × 446
First multiples
103,472 · 206,944 (double) · 310,416 · 413,888 · 517,360 · 620,832 · 724,304 · 827,776 · 931,248 · 1,034,720

Sums & aliquot sequence

As consecutive integers: 3,554 + 3,555 + … + 3,582 3,218 + 3,219 + … + 3,249 353 + 354 + … + 575
Aliquot sequence: 103,472 104,848 98,326 50,498 36,094 18,050 17,383 1 0 — terminates at zero

Continued fraction of √n

√103,472 = [321; (1, 2, 27, 1, 1, 1, 3, 5, 3, 1, 1, 1, 27, 2, 1, 642)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred three thousand four hundred seventy-two
Ordinal
103472nd
Binary
11001010000110000
Octal
312060
Hexadecimal
0x19430
Base64
AZQw
One's complement
4,294,863,823 (32-bit)
Scientific notation
1.03472 × 10⁵
As a duration
103,472 s = 1 day, 4 hours, 44 minutes, 32 seconds
In other bases
ternary (3) 12020221022
quaternary (4) 121100300
quinary (5) 11302342
senary (6) 2115012
septenary (7) 610445
nonary (9) 166838
undecimal (11) 70816
duodecimal (12) 4ba68
tridecimal (13) 38135
tetradecimal (14) 299cc
pentadecimal (15) 209d2

As an angle

103,472° = 287 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ργυοβʹ
Mayan (base 20)
𝋬·𝋲·𝋭·𝋬
Chinese
一十萬三千四百七十二
Chinese (financial)
壹拾萬參仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٣٤٧٢ Devanagari १०३४७२ Bengali ১০৩৪৭২ Tamil ௧௦௩௪௭௨ Thai ๑๐๓๔๗๒ Tibetan ༡༠༣༤༧༢ Khmer ១០៣៤៧២ Lao ໑໐໓໔໗໒ Burmese ၁၀၃၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103472, here are decompositions:

  • 73 + 103399 = 103472
  • 79 + 103393 = 103472
  • 139 + 103333 = 103472
  • 181 + 103291 = 103472
  • 241 + 103231 = 103472
  • 331 + 103141 = 103472
  • 349 + 103123 = 103472
  • 373 + 103099 = 103472

Showing the first eight; more decompositions exist.

Hex color
#019430
RGB(1, 148, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.148.48.

Address
0.1.148.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.148.48

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 103,472 and was likely granted around 1870.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.