Live analysis

112,464

112,464 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.).

112,464 (one hundred twelve thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 11 × 71. Its proper divisors sum to 235,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B750.

Abundant Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

112,452 112,453 112,454 112,455 112,456 112,457 112,458 112,459 112,460 112,461 112,462 112,463 112,464 112,465 112,466 112,467 112,468 112,469 112,470 112,471 112,472 112,473 112,474 112,475 112,476

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 192
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 464,211
Recamán's sequence: a(52,243) = 112,464
Square (n²): 12,648,151,296
Cube (n³): 1,422,461,687,353,344
Divisor count: 60
σ(n) — sum of divisors: 348,192
φ(n) — Euler's totient: 33,600
Sum of prime factors: 96

Primality

Prime factorization: 2 ⁴ × 3 ² × 11 × 71

Nearest primes: 112,459 (−5) · 112,481 (+17)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 16 · 18 · 22 · 24 · 33 · 36 · 44 · 48 · 66 · 71 · 72 · 88 · 99 · 132 · 142 · 144 · 176 · 198 · 213 · 264 · 284 · 396 · 426 · 528 · 568 · 639 · 781 · 792 · 852 · 1136 · 1278 · 1562 · 1584 · 1704 · 2343 · 2556 · 3124 · 3408 · 4686 · 5112 · 6248 · 7029 · 9372 · 10224 · 12496 · 14058 · 18744 · 28116 · 37488 · 56232 (half) · 112464

Aliquot sum (sum of proper divisors): 235,728

Factor pairs (a × b = 112,464)

1 × 112464

2 × 56232

3 × 37488

4 × 28116

6 × 18744

8 × 14058

9 × 12496

11 × 10224

12 × 9372

16 × 7029

18 × 6248

22 × 5112

24 × 4686

33 × 3408

36 × 3124

44 × 2556

48 × 2343

66 × 1704

71 × 1584

72 × 1562

88 × 1278

99 × 1136

132 × 852

142 × 792

144 × 781

176 × 639

198 × 568

213 × 528

264 × 426

284 × 396

First multiples

112,464 · 224,928 (double) · 337,392 · 449,856 · 562,320 · 674,784 · 787,248 · 899,712 · 1,012,176 · 1,124,640

Sums & aliquot sequence

As consecutive integers: 37,487 + 37,488 + 37,489 12,492 + 12,493 + … + 12,500 10,219 + 10,220 + … + 10,229 3,499 + 3,500 + … + 3,530

Aliquot sequence: 112,464 → 235,728 → 424,386 → 554,814 → 740,298 → 854,358 → 984,234 → 984,246 → 1,032,762 → 1,032,774 → 1,081,338 → 1,093,542 → 1,270,362 → 1,270,374 → 1,807,626 → 1,858,038 → 2,883,594 — unresolved within range

Continued fraction of √n

√112,464 = [335; (2, 1, 4, 8, 15, 8, 4, 1, 2, 670)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand four hundred sixty-four
Ordinal: 112464th
Binary: 11011011101010000
Octal: 333520
Hexadecimal: 0x1B750
Base64: AbdQ
One's complement: 4,294,854,831 (32-bit)
Scientific notation: 1.12464 × 10⁵
As a duration: 112,464 s = 1 day, 7 hours, 14 minutes, 24 seconds

In other bases

ternary (3) 12201021100

quaternary (4) 123131100

quinary (5) 12044324

senary (6) 2224400

septenary (7) 645612

nonary (9) 181240

undecimal (11) 77550

duodecimal (12) 55100

tridecimal (13) 3c261

tetradecimal (14) 2cdb2

pentadecimal (15) 234c9

As an angle

112,464° = 312 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριβυξδʹ
Mayan (base 20): 𝋮·𝋡·𝋣·𝋤
Chinese: 一十一萬二千四百六十四
Chinese (financial): 壹拾壹萬貳仟肆佰陸拾肆

In other modern scripts

Eastern Arabic ١١٢٤٦٤ Devanagari ११२४६४ Bengali ১১২৪৬৪ Tamil ௧௧௨௪௬௪ Thai ๑๑๒๔๖๔ Tibetan ༡༡༢༤༦༤ Khmer ១១២៤៦៤ Lao ໑໑໒໔໖໔ Burmese ၁၁၂၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112464, here are decompositions:

5 + 112459 = 112464
61 + 112403 = 112464
67 + 112397 = 112464
101 + 112363 = 112464
103 + 112361 = 112464
127 + 112337 = 112464
137 + 112327 = 112464
167 + 112297 = 112464

Showing the first eight; more decompositions exist.

Hex color

#01B750

RGB(1, 183, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.80.

Address: 0.1.183.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.183.80

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 112,464 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 US112,464 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 112464 first appears in π at position 612,935 of the decimal expansion (the 612,935ordinal-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 112464 on Pi Search ↗