Live analysis

112,364

112,364 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.).

112,364 (one hundred twelve thousand three hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,013. Its proper divisors sum to 112,420, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B6EC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

112,352 112,353 112,354 112,355 112,356 112,357 112,358 112,359 112,360 112,361 112,362 112,363 112,364 112,365 112,366 112,367 112,368 112,369 112,370 112,371 112,372 112,373 112,374 112,375 112,376

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 144
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 463,211
Recamán's sequence: a(52,039) = 112,364
Square (n²): 12,625,668,496
Cube (n³): 1,418,670,614,884,544
Divisor count: 12
σ(n) — sum of divisors: 224,784
φ(n) — Euler's totient: 48,144
Sum of prime factors: 4,024

Primality

Prime factorization: 2 ² × 7 × 4013

Nearest primes: 112,363 (−1) · 112,397 (+33)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 4013 · 8026 · 16052 · 28091 · 56182 (half) · 112364

Aliquot sum (sum of proper divisors): 112,420

Factor pairs (a × b = 112,364)

1 × 112364

2 × 56182

4 × 28091

7 × 16052

14 × 8026

28 × 4013

First multiples

112,364 · 224,728 (double) · 337,092 · 449,456 · 561,820 · 674,184 · 786,548 · 898,912 · 1,011,276 · 1,123,640

Sums & aliquot sequence

As consecutive integers: 16,049 + 16,050 + … + 16,055 14,042 + 14,043 + … + 14,049 1,979 + 1,980 + … + 2,034

Aliquot sequence: 112,364 → 112,420 → 185,948 → 200,452 → 200,508 → 412,356 → 687,484 → 721,924 → 890,876 → 890,932 → 931,532 → 1,165,108 → 1,165,164 → 2,522,772 → 5,218,668 → 11,903,892 → 25,427,052 — unresolved within range

Continued fraction of √n

√112,364 = [335; (4, 1, 4, 1, 1, 1, 1, 5, 1, 1, 5, 3, 2, 6, 3, 1, 2, 12, 3, 2, 16, 3, 34, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand three hundred sixty-four
Ordinal: 112364th
Binary: 11011011011101100
Octal: 333354
Hexadecimal: 0x1B6EC
Base64: Abbs
One's complement: 4,294,854,931 (32-bit)
Scientific notation: 1.12364 × 10⁵
As a duration: 112,364 s = 1 day, 7 hours, 12 minutes, 44 seconds

In other bases

ternary (3) 12201010122

quaternary (4) 123123230

quinary (5) 12043424

senary (6) 2224112

septenary (7) 645410

nonary (9) 181118

undecimal (11) 7746a

duodecimal (12) 55038

tridecimal (13) 3c1b5

tetradecimal (14) 2cd40

pentadecimal (15) 2345e

As an angle

112,364° = 312 × 360° + 44°

44° ≈ 0.768 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριβτξδʹ
Mayan (base 20): 𝋮·𝋠·𝋲·𝋤
Chinese: 一十一萬二千三百六十四
Chinese (financial): 壹拾壹萬貳仟參佰陸拾肆

In other modern scripts

Eastern Arabic ١١٢٣٦٤ Devanagari ११२३६४ Bengali ১১২৩৬৪ Tamil ௧௧௨௩௬௪ Thai ๑๑๒๓๖๔ Tibetan ༡༡༢༣༦༤ Khmer ១១២៣៦៤ Lao ໑໑໒໓໖໔ Burmese ၁၁၂၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112364, here are decompositions:

3 + 112361 = 112364
37 + 112327 = 112364
61 + 112303 = 112364
67 + 112297 = 112364
73 + 112291 = 112364
103 + 112261 = 112364
127 + 112237 = 112364
151 + 112213 = 112364

Showing the first eight; more decompositions exist.

Hex color

#01B6EC

RGB(1, 182, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.236.

Address: 0.1.182.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.182.236

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 112,364 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 US112,364 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 112364 first appears in π at position 73,832 of the decimal expansion (the 73,832ordinal-suffix:nd 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 112364 on Pi Search ↗