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112,404

112,404 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.).

112,404 (one hundred twelve thousand four hundred four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 17 × 19 × 29. Its proper divisors sum to 189,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B714.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
404,211
Recamán's sequence
a(246,732) = 112,404
Square (n²)
12,634,659,216
Cube (n³)
1,420,186,234,515,264
Divisor count
48
σ(n) — sum of divisors
302,400
φ(n) — Euler's totient
32,256
Sum of prime factors
72

Primality

Prime factorization: 2 2 × 3 × 17 × 19 × 29

Nearest primes: 112,403 (−1) · 112,429 (+25)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 12 · 17 · 19 · 29 · 34 · 38 · 51 · 57 · 58 · 68 · 76 · 87 · 102 · 114 · 116 · 174 · 204 · 228 · 323 · 348 · 493 · 551 · 646 · 969 · 986 · 1102 · 1292 · 1479 · 1653 · 1938 · 1972 · 2204 · 2958 · 3306 · 3876 · 5916 · 6612 · 9367 · 18734 · 28101 · 37468 · 56202 (half) · 112404
Aliquot sum (sum of proper divisors): 189,996
Factor pairs (a × b = 112,404)
1 × 112404
2 × 56202
3 × 37468
4 × 28101
6 × 18734
12 × 9367
17 × 6612
19 × 5916
29 × 3876
34 × 3306
38 × 2958
51 × 2204
57 × 1972
58 × 1938
68 × 1653
76 × 1479
87 × 1292
102 × 1102
114 × 986
116 × 969
174 × 646
204 × 551
228 × 493
323 × 348
First multiples
112,404 · 224,808 (double) · 337,212 · 449,616 · 562,020 · 674,424 · 786,828 · 899,232 · 1,011,636 · 1,124,040

Sums & aliquot sequence

As consecutive integers: 37,467 + 37,468 + 37,469 14,047 + 14,048 + … + 14,054 6,604 + 6,605 + … + 6,620 5,907 + 5,908 + … + 5,925
Aliquot sequence: 112,404 189,996 261,588 348,812 309,748 236,364 315,180 706,932 1,111,248 1,999,106 999,556 757,836 1,224,144 2,202,162 2,202,174 3,069,666 3,581,316 — unresolved within range

Continued fraction of √n

√112,404 = [335; (3, 1, 2, 1, 10, 1, 1, 1, 2, 1, 1, 41, 3, 26, 2, 26, 3, 41, 1, 1, 2, 1, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand four hundred four
Ordinal
112404th
Binary
11011011100010100
Octal
333424
Hexadecimal
0x1B714
Base64
AbcU
One's complement
4,294,854,891 (32-bit)
Scientific notation
1.12404 × 10⁵
As a duration
112,404 s = 1 day, 7 hours, 13 minutes, 24 seconds
In other bases
ternary (3) 12201012010
quaternary (4) 123130110
quinary (5) 12044104
senary (6) 2224220
septenary (7) 645465
nonary (9) 181163
undecimal (11) 774a6
duodecimal (12) 55070
tridecimal (13) 3c216
tetradecimal (14) 2cd6c
pentadecimal (15) 23489

As an angle

112,404° = 312 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβυδʹ
Mayan (base 20)
𝋮·𝋡·𝋠·𝋤
Chinese
一十一萬二千四百零四
Chinese (financial)
壹拾壹萬貳仟肆佰零肆
In other modern scripts
Eastern Arabic ١١٢٤٠٤ Devanagari ११२४०४ Bengali ১১২৪০৪ Tamil ௧௧௨௪௦௪ Thai ๑๑๒๔๐๔ Tibetan ༡༡༢༤༠༤ Khmer ១១២៤០៤ Lao ໑໑໒໔໐໔ Burmese ၁၁၂၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112404, here are decompositions:

  • 7 + 112397 = 112404
  • 41 + 112363 = 112404
  • 43 + 112361 = 112404
  • 67 + 112337 = 112404
  • 73 + 112331 = 112404
  • 101 + 112303 = 112404
  • 107 + 112297 = 112404
  • 113 + 112291 = 112404

Showing the first eight; more decompositions exist.

Hex color
#01B714
RGB(1, 183, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.20.

Address
0.1.183.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.20

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 112,404 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 112404 first appears in π at position 887,633 of the decimal expansion (the 887,633ordinal-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

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