Live analysis

112,500

112,500 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.).

112,500 (one hundred twelve thousand five hundred) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2² × 3² × 5⁵. Its proper divisors sum to 242,946, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B774.

Abundant Number Achilles Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

112,488 112,489 112,490 112,491 112,492 112,493 112,494 112,495 112,496 112,497 112,498 112,499 112,500 112,501 112,502 112,503 112,504 112,505 112,506 112,507 112,508 112,509 112,510 112,511 112,512

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 5,211
Recamán's sequence: a(52,315) = 112,500
Square (n²): 12,656,250,000
Cube (n³): 1,423,828,125,000,000
Divisor count: 54
σ(n) — sum of divisors: 355,446
φ(n) — Euler's totient: 30,000
Sum of prime factors: 35

Primality

Prime factorization: 2 ² × 3 ² × 5 ⁵

Nearest primes: 112,481 (−19) · 112,501 (+1)

Divisors & multiples

All divisors (54)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 25 · 30 · 36 · 45 · 50 · 60 · 75 · 90 · 100 · 125 · 150 · 180 · 225 · 250 · 300 · 375 · 450 · 500 · 625 · 750 · 900 · 1125 · 1250 · 1500 · 1875 · 2250 · 2500 · 3125 · 3750 · 4500 · 5625 · 6250 · 7500 · 9375 · 11250 · 12500 · 18750 · 22500 · 28125 · 37500 · 56250 (half) · 112500

Aliquot sum (sum of proper divisors): 242,946

Factor pairs (a × b = 112,500)

1 × 112500

2 × 56250

3 × 37500

4 × 28125

5 × 22500

6 × 18750

9 × 12500

10 × 11250

12 × 9375

15 × 7500

18 × 6250

20 × 5625

25 × 4500

30 × 3750

36 × 3125

45 × 2500

50 × 2250

60 × 1875

75 × 1500

90 × 1250

100 × 1125

125 × 900

150 × 750

180 × 625

225 × 500

250 × 450

300 × 375

First multiples

112,500 · 225,000 (double) · 337,500 · 450,000 · 562,500 · 675,000 · 787,500 · 900,000 · 1,012,500 · 1,125,000

Sums & aliquot sequence

As a sum of two squares: 60² + 330² = 150² + 300² = 228² + 246²

As consecutive integers: 37,499 + 37,500 + 37,501 22,498 + 22,499 + 22,500 + 22,501 + 22,502 14,059 + 14,060 + … + 14,066 12,496 + 12,497 + … + 12,504

Aliquot sequence: 112,500 → 242,946 → 347,454 → 416,946 → 416,958 → 416,970 → 703,422 → 820,698 → 859,398 → 899,898 → 978,438 → 988,458 → 988,470 → 2,029,770 → 3,530,070 → 5,813,082 → 8,938,746 — unresolved within range

Continued fraction of √n

√112,500 = [335; (2, 2, 3, 1, 1, 10, 2, 3, 4, 2, 1, 2, 3, 2, 3, 1, 1, 1, 8, 1, 4, 4, 2, 4, …)]

Representations

In words: one hundred twelve thousand five hundred
Ordinal: 112500th
Binary: 11011011101110100
Octal: 333564
Hexadecimal: 0x1B774
Base64: Abd0
One's complement: 4,294,854,795 (32-bit)
Scientific notation: 1.125 × 10⁵
As a duration: 112,500 s = 1 day, 7 hours, 15 minutes

In other bases

ternary (3) 12201022200

quaternary (4) 123131310

quinary (5) 12100000

senary (6) 2224500

septenary (7) 645663

nonary (9) 181280

undecimal (11) 77583

duodecimal (12) 55130

tridecimal (13) 3c28b

tetradecimal (14) 2cdda

pentadecimal (15) 23500

As an angle

112,500° = 312 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ριβφʹ
Mayan (base 20): 𝋮·𝋡·𝋥·𝋠
Chinese: 一十一萬二千五百
Chinese (financial): 壹拾壹萬貳仟伍佰

In other modern scripts

Eastern Arabic ١١٢٥٠٠ Devanagari ११२५०० Bengali ১১২৫০০ Tamil ௧௧௨௫௦௦ Thai ๑๑๒๕๐๐ Tibetan ༡༡༢༥༠༠ Khmer ១១២៥០០ Lao ໑໑໒໕໐໐ Burmese ၁၁၂၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112500, here are decompositions:

19 + 112481 = 112500
41 + 112459 = 112500
71 + 112429 = 112500
97 + 112403 = 112500
103 + 112397 = 112500
137 + 112363 = 112500
139 + 112361 = 112500
151 + 112349 = 112500

Showing the first eight; more decompositions exist.

Hex color

#01B774

RGB(1, 183, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.116.

Address: 0.1.183.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.183.116

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 112,500 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 US112,500 on Google Patents ↗ Look up on USPTO ↗