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107,448

107,448 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.).

107,448 (one hundred seven thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 11² × 37. Its proper divisors sum to 195,792, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A3B8.

Abundant Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
844,701
Recamán's sequence
a(82,951) = 107,448
Square (n²)
11,545,072,704
Cube (n³)
1,240,494,971,899,392
Divisor count
48
σ(n) — sum of divisors
303,240
φ(n) — Euler's totient
31,680
Sum of prime factors
68

Primality

Prime factorization: 2 3 × 3 × 11 2 × 37

Nearest primes: 107,441 (−7) · 107,449 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 22 · 24 · 33 · 37 · 44 · 66 · 74 · 88 · 111 · 121 · 132 · 148 · 222 · 242 · 264 · 296 · 363 · 407 · 444 · 484 · 726 · 814 · 888 · 968 · 1221 · 1452 · 1628 · 2442 · 2904 · 3256 · 4477 · 4884 · 8954 · 9768 · 13431 · 17908 · 26862 · 35816 · 53724 (half) · 107448
Aliquot sum (sum of proper divisors): 195,792
Factor pairs (a × b = 107,448)
1 × 107448
2 × 53724
3 × 35816
4 × 26862
6 × 17908
8 × 13431
11 × 9768
12 × 8954
22 × 4884
24 × 4477
33 × 3256
37 × 2904
44 × 2442
66 × 1628
74 × 1452
88 × 1221
111 × 968
121 × 888
132 × 814
148 × 726
222 × 484
242 × 444
264 × 407
296 × 363
First multiples
107,448 · 214,896 (double) · 322,344 · 429,792 · 537,240 · 644,688 · 752,136 · 859,584 · 967,032 · 1,074,480

Sums & aliquot sequence

As consecutive integers: 35,815 + 35,816 + 35,817 9,763 + 9,764 + … + 9,773 6,708 + 6,709 + … + 6,723 3,240 + 3,241 + … + 3,272
Aliquot sequence: 107,448 → 195,792 → 310,128 → 689,808 → 1,347,760 → 1,973,456 → 1,850,146 → 925,076 → 693,814 → 493,610 → 463,486 → 268,394 → 216,406 → 108,206 → 81,874 → 55,214 → 32,026 — unresolved within range

Continued fraction of √n

√107,448 = [327; (1, 3, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 3, 1, 654)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand four hundred forty-eight
Ordinal
107448th
Binary
11010001110111000
Octal
321670
Hexadecimal
0x1A3B8
Base64
AaO4
One's complement
4,294,859,847 (32-bit)
Scientific notation
1.07448 × 10⁵
As a duration
107,448 s = 1 day, 5 hours, 50 minutes, 48 seconds
In other bases
ternary (3) 12110101120
quaternary (4) 122032320
quinary (5) 11414243
senary (6) 2145240
septenary (7) 625155
nonary (9) 173346
undecimal (11) 73800
duodecimal (12) 52220
tridecimal (13) 39ba3
tetradecimal (14) 2b22c
pentadecimal (15) 21c83

As an angle

107,448° = 298 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζυμηʹ
Mayan (base 20)
𝋭·𝋨·𝋬·𝋨
Chinese
十萬七千四百四十八
Chinese (financial)
壹拾萬柒仟肆佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٧٤٤٨ Devanagari १०७४४८ Bengali ১০৭৪৪৮ Tamil ௧௦௭௪௪௮ Thai ๑๐๗๔๔๘ Tibetan ༡༠༧༤༤༨ Khmer ១០៧៤៤៨ Lao ໑໐໗໔໔໘ Burmese ၁၀၇၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107448, here are decompositions:

  • 7 + 107441 = 107448
  • 71 + 107377 = 107448
  • 97 + 107351 = 107448
  • 101 + 107347 = 107448
  • 109 + 107339 = 107448
  • 139 + 107309 = 107448
  • 179 + 107269 = 107448
  • 197 + 107251 = 107448

Showing the first eight; more decompositions exist.

Hex color
#01A3B8
RGB(1, 163, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.184.

Address
0.1.163.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.163.184

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 107,448 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 107448 first appears in π at position 147,867 of the decimal expansion (the 147,867ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.