Live analysis

112,104

112,104 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.).

112,104 (one hundred twelve thousand one hundred four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2³ × 3⁴ × 173. Its proper divisors sum to 203,706, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B5E8.

Abundant Number Evil Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

112,092 112,093 112,094 112,095 112,096 112,097 112,098 112,099 112,100 112,101 112,102 112,103 112,104 112,105 112,106 112,107 112,108 112,109 112,110 112,111 112,112 112,113 112,114 112,115 112,116

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 401,211
Recamán's sequence: a(247,092) = 112,104
Square (n²): 12,567,306,816
Cube (n³): 1,408,845,363,300,864
Divisor count: 40
σ(n) — sum of divisors: 315,810
φ(n) — Euler's totient: 37,152
Sum of prime factors: 191

Primality

Prime factorization: 2 ³ × 3 ⁴ × 173

Nearest primes: 112,103 (−1) · 112,111 (+7)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 36 · 54 · 72 · 81 · 108 · 162 · 173 · 216 · 324 · 346 · 519 · 648 · 692 · 1038 · 1384 · 1557 · 2076 · 3114 · 4152 · 4671 · 6228 · 9342 · 12456 · 14013 · 18684 · 28026 · 37368 · 56052 (half) · 112104

Aliquot sum (sum of proper divisors): 203,706

Factor pairs (a × b = 112,104)

1 × 112104

2 × 56052

3 × 37368

4 × 28026

6 × 18684

8 × 14013

9 × 12456

12 × 9342

18 × 6228

24 × 4671

27 × 4152

36 × 3114

54 × 2076

72 × 1557

81 × 1384

108 × 1038

162 × 692

173 × 648

216 × 519

324 × 346

First multiples

112,104 · 224,208 (double) · 336,312 · 448,416 · 560,520 · 672,624 · 784,728 · 896,832 · 1,008,936 · 1,121,040

Sums & aliquot sequence

As a sum of two squares: 198² + 270²

As consecutive integers: 37,367 + 37,368 + 37,369 12,452 + 12,453 + … + 12,460 6,999 + 7,000 + … + 7,014 4,139 + 4,140 + … + 4,165

Aliquot sequence: 112,104 → 203,706 → 237,696 → 394,704 → 710,322 → 710,334 → 986,946 → 1,007,358 → 1,190,658 → 1,530,942 → 1,968,450 → 3,361,566 → 3,992,802 → 4,718,910 → 8,800,962 → 9,369,150 → 17,188,674 — unresolved within range

Continued fraction of √n

√112,104 = [334; (1, 4, 1, 1, 6, 1, 1, 73, 1, 6, 1, 1, 1, 1, 1, 6, 1, 73, 1, 1, 6, 1, 1, 4, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand one hundred four
Ordinal: 112104th
Binary: 11011010111101000
Octal: 332750
Hexadecimal: 0x1B5E8
Base64: AbXo
One's complement: 4,294,855,191 (32-bit)
Scientific notation: 1.12104 × 10⁵
As a duration: 112,104 s = 1 day, 7 hours, 8 minutes, 24 seconds

In other bases

ternary (3) 12200210000

quaternary (4) 123113220

quinary (5) 12041404

senary (6) 2223000

septenary (7) 644556

nonary (9) 180700

undecimal (11) 77253

duodecimal (12) 54a60

tridecimal (13) 3c045

tetradecimal (14) 2cbd6

pentadecimal (15) 23339

As an angle

112,104° = 311 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριβρδʹ
Mayan (base 20): 𝋮·𝋠·𝋥·𝋤
Chinese: 一十一萬二千一百零四
Chinese (financial): 壹拾壹萬貳仟壹佰零肆

In other modern scripts

Eastern Arabic ١١٢١٠٤ Devanagari ११२१०४ Bengali ১১২১০৪ Tamil ௧௧௨௧௦௪ Thai ๑๑๒๑๐๔ Tibetan ༡༡༢༡༠༤ Khmer ១១២១០៤ Lao ໑໑໒໑໐໔ Burmese ၁၁၂၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112104, here are decompositions:

7 + 112097 = 112104
17 + 112087 = 112104
37 + 112067 = 112104
43 + 112061 = 112104
73 + 112031 = 112104
107 + 111997 = 112104
127 + 111977 = 112104
131 + 111973 = 112104

Showing the first eight; more decompositions exist.

Hex color

#01B5E8

RGB(1, 181, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.232.

Address: 0.1.181.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.181.232

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 112,104 and was likely granted around 1871.

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

Look up US112,104 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 112104 first appears in π at position 457,609 of the decimal expansion (the 457,609ordinal-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.

Look up 112104 on Pi Search ↗