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112,448

112,448 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.).

112,448 (one hundred twelve thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 7 × 251. Its proper divisors sum to 143,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B740.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
256
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
844,211
Recamán's sequence
a(52,203) = 112,448
Square (n²)
12,644,552,704
Cube (n³)
1,421,854,662,459,392
Divisor count
28
σ(n) — sum of divisors
256,032
φ(n) — Euler's totient
48,000
Sum of prime factors
270

Primality

Prime factorization: 2 6 × 7 × 251

Nearest primes: 112,429 (−19) · 112,459 (+11)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 224 · 251 · 448 · 502 · 1004 · 1757 · 2008 · 3514 · 4016 · 7028 · 8032 · 14056 · 16064 · 28112 · 56224 (half) · 112448
Aliquot sum (sum of proper divisors): 143,584
Factor pairs (a × b = 112,448)
1 × 112448
2 × 56224
4 × 28112
7 × 16064
8 × 14056
14 × 8032
16 × 7028
28 × 4016
32 × 3514
56 × 2008
64 × 1757
112 × 1004
224 × 502
251 × 448
First multiples
112,448 · 224,896 (double) · 337,344 · 449,792 · 562,240 · 674,688 · 787,136 · 899,584 · 1,012,032 · 1,124,480

Sums & aliquot sequence

As consecutive integers: 16,061 + 16,062 + … + 16,067 815 + 816 + … + 942 323 + 324 + … + 573
Aliquot sequence: 112,448 143,584 179,984 218,800 307,828 244,304 229,066 121,178 60,592 73,824 120,216 180,384 293,376 492,288 819,960 1,640,280 3,280,920 — unresolved within range

Continued fraction of √n

√112,448 = [335; (3, 167, 3, 670)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand four hundred forty-eight
Ordinal
112448th
Binary
11011011101000000
Octal
333500
Hexadecimal
0x1B740
Base64
AbdA
One's complement
4,294,854,847 (32-bit)
Scientific notation
1.12448 × 10⁵
As a duration
112,448 s = 1 day, 7 hours, 14 minutes, 8 seconds
In other bases
ternary (3) 12201020202
quaternary (4) 123131000
quinary (5) 12044243
senary (6) 2224332
septenary (7) 645560
nonary (9) 181222
undecimal (11) 77536
duodecimal (12) 550a8
tridecimal (13) 3c24b
tetradecimal (14) 2cda0
pentadecimal (15) 234b8

As an angle

112,448° = 312 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβυμηʹ
Mayan (base 20)
𝋮·𝋡·𝋢·𝋨
Chinese
一十一萬二千四百四十八
Chinese (financial)
壹拾壹萬貳仟肆佰肆拾捌
In other modern scripts
Eastern Arabic ١١٢٤٤٨ Devanagari ११२४४८ Bengali ১১২৪৪৮ Tamil ௧௧௨௪௪௮ Thai ๑๑๒๔๔๘ Tibetan ༡༡༢༤༤༨ Khmer ១១២៤៤៨ Lao ໑໑໒໔໔໘ Burmese ၁၁၂၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112448, here are decompositions:

  • 19 + 112429 = 112448
  • 109 + 112339 = 112448
  • 151 + 112297 = 112448
  • 157 + 112291 = 112448
  • 199 + 112249 = 112448
  • 211 + 112237 = 112448
  • 241 + 112207 = 112448
  • 337 + 112111 = 112448

Showing the first eight; more decompositions exist.

Hex color
#01B740
RGB(1, 183, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.64.

Address
0.1.183.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.64

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 112,448 and was likely granted around 1871.

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

Position in π

The digit sequence 112448 first appears in π at position 33,636 of the decimal expansion (the 33,636ordinal-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

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