Live analysis

112,000

112,000 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.).

112,000 (one hundred twelve thousand) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 5³ × 7. Its proper divisors sum to 206,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B580.

Abundant Number Frugal Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

111,988 111,989 111,990 111,991 111,992 111,993 111,994 111,995 111,996 111,997 111,998 111,999 112,000 112,001 112,002 112,003 112,004 112,005 112,006 112,007 112,008 112,009 112,010 112,011 112,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 17 bits
Reversed: 211
Recamán's sequence: a(247,300) = 112,000
Square (n²): 12,544,000,000
Cube (n³): 1,404,928,000,000,000
Divisor count: 64
σ(n) — sum of divisors: 318,240
φ(n) — Euler's totient: 38,400
Sum of prime factors: 36

Primality

Prime factorization: 2 ⁷ × 5 ³ × 7

Nearest primes: 111,997 (−3) · 112,019 (+19)

Divisors & multiples

All divisors (64)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 32 · 35 · 40 · 50 · 56 · 64 · 70 · 80 · 100 · 112 · 125 · 128 · 140 · 160 · 175 · 200 · 224 · 250 · 280 · 320 · 350 · 400 · 448 · 500 · 560 · 640 · 700 · 800 · 875 · 896 · 1000 · 1120 · 1400 · 1600 · 1750 · 2000 · 2240 · 2800 · 3200 · 3500 · 4000 · 4480 · 5600 · 7000 · 8000 · 11200 · 14000 · 16000 · 22400 · 28000 · 56000 (half) · 112000

Aliquot sum (sum of proper divisors): 206,240

Factor pairs (a × b = 112,000)

1 × 112000

2 × 56000

4 × 28000

5 × 22400

7 × 16000

8 × 14000

10 × 11200

14 × 8000

16 × 7000

20 × 5600

25 × 4480

28 × 4000

32 × 3500

35 × 3200

40 × 2800

50 × 2240

56 × 2000

64 × 1750

70 × 1600

80 × 1400

100 × 1120

112 × 1000

125 × 896

128 × 875

140 × 800

160 × 700

175 × 640

200 × 560

224 × 500

250 × 448

280 × 400

320 × 350

First multiples

112,000 · 224,000 (double) · 336,000 · 448,000 · 560,000 · 672,000 · 784,000 · 896,000 · 1,008,000 · 1,120,000

Sums & aliquot sequence

As consecutive integers: 22,398 + 22,399 + 22,400 + 22,401 + 22,402 15,997 + 15,998 + … + 16,003 4,468 + 4,469 + … + 4,492 3,183 + 3,184 + … + 3,217

Aliquot sequence: 112,000 → 206,240 → 281,380 → 363,740 → 459,460 → 505,448 → 522,712 → 465,128 → 424,252 → 366,580 → 403,280 → 547,738 → 291,494 → 219,994 → 121,466 → 60,736 → 70,836 — unresolved within range

Continued fraction of √n

√112,000 = [334; (1, 1, 1, 41, 6, 167, 6, 41, 1, 1, 1, 668)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand
Ordinal: 112000th
Binary: 11011010110000000
Octal: 332600
Hexadecimal: 0x1B580
Base64: AbWA
One's complement: 4,294,855,295 (32-bit)
Scientific notation: 1.12 × 10⁵
As a duration: 112,000 s = 1 day, 7 hours, 6 minutes, 40 seconds

In other bases

ternary (3) 12200122011

quaternary (4) 123112000

quinary (5) 12041000

senary (6) 2222304

septenary (7) 644350

nonary (9) 180564

undecimal (11) 77169

duodecimal (12) 54994

tridecimal (13) 3bc95

tetradecimal (14) 2cb60

pentadecimal (15) 232ba

As an angle

112,000° = 311 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼
Greek (Milesian): ͵ριβ
Mayan (base 20): 𝋮·𝋠·𝋠·𝋠
Chinese: 一十一萬二千
Chinese (financial): 壹拾壹萬貳仟

In other modern scripts

Eastern Arabic ١١٢٠٠٠ Devanagari ११२००० Bengali ১১২০০০ Tamil ௧௧௨௦௦௦ Thai ๑๑๒๐๐๐ Tibetan ༡༡༢༠༠༠ Khmer ១១២០០០ Lao ໑໑໒໐໐໐ Burmese ၁၁၂၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112000, here are decompositions:

3 + 111997 = 112000
23 + 111977 = 112000
41 + 111959 = 112000
47 + 111953 = 112000
107 + 111893 = 112000
131 + 111869 = 112000
137 + 111863 = 112000
167 + 111833 = 112000

Showing the first eight; more decompositions exist.

Hex color

#01B580

RGB(1, 181, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.128.

Address: 0.1.181.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.181.128

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 112,000 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 US112,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 112000 first appears in π at position 127,097 of the decimal expansion (the 127,097ordinal-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 112000 on Pi Search ↗