Live analysis

113,472

113,472 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.).

113,472 (one hundred thirteen thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 3² × 197. Its proper divisors sum to 213,426, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BB40.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

113,460 113,461 113,462 113,463 113,464 113,465 113,466 113,467 113,468 113,469 113,470 113,471 113,472 113,473 113,474 113,475 113,476 113,477 113,478 113,479 113,480 113,481 113,482 113,483 113,484

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 168
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 274,311
Recamán's sequence: a(53,703) = 113,472
Square (n²): 12,875,894,784
Cube (n³): 1,461,053,532,930,048
Divisor count: 42
σ(n) — sum of divisors: 326,898
φ(n) — Euler's totient: 37,632
Sum of prime factors: 215

Primality

Prime factorization: 2 ⁶ × 3 ² × 197

Nearest primes: 113,467 (−5) · 113,489 (+17)

Divisors & multiples

All divisors (42)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 144 · 192 · 197 · 288 · 394 · 576 · 591 · 788 · 1182 · 1576 · 1773 · 2364 · 3152 · 3546 · 4728 · 6304 · 7092 · 9456 · 12608 · 14184 · 18912 · 28368 · 37824 · 56736 (half) · 113472

Aliquot sum (sum of proper divisors): 213,426

Factor pairs (a × b = 113,472)

1 × 113472

2 × 56736

3 × 37824

4 × 28368

6 × 18912

8 × 14184

9 × 12608

12 × 9456

16 × 7092

18 × 6304

24 × 4728

32 × 3546

36 × 3152

48 × 2364

64 × 1773

72 × 1576

96 × 1182

144 × 788

192 × 591

197 × 576

288 × 394

First multiples

113,472 · 226,944 (double) · 340,416 · 453,888 · 567,360 · 680,832 · 794,304 · 907,776 · 1,021,248 · 1,134,720

Sums & aliquot sequence

As a sum of two squares: 24² + 336²

As consecutive integers: 37,823 + 37,824 + 37,825 12,604 + 12,605 + … + 12,612 823 + 824 + … + 950 478 + 479 + … + 674

Aliquot sequence: 113,472 → 213,426 → 258,318 → 310,770 → 518,670 → 958,770 → 1,685,070 → 2,866,050 → 5,794,110 → 12,469,122 → 14,547,348 → 22,344,780 → 40,220,772 → 55,220,028 → 73,815,060 → 154,178,412 → 206,978,244 — unresolved within range

Continued fraction of √n

√113,472 = [336; (1, 5, 1, 17, 1, 5, 1, 672)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand four hundred seventy-two
Ordinal: 113472nd
Binary: 11011101101000000
Octal: 335500
Hexadecimal: 0x1BB40
Base64: AbtA
One's complement: 4,294,853,823 (32-bit)
Scientific notation: 1.13472 × 10⁵
As a duration: 113,472 s = 1 day, 7 hours, 31 minutes, 12 seconds

In other bases

ternary (3) 12202122200

quaternary (4) 123231000

quinary (5) 12112342

senary (6) 2233200

septenary (7) 651552

nonary (9) 182580

undecimal (11) 78287

duodecimal (12) 55800

tridecimal (13) 3c858

tetradecimal (14) 2d4d2

pentadecimal (15) 2394c

Palindromic in base 11, base 14

As an angle

113,472° = 315 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ριγυοβʹ
Mayan (base 20): 𝋮·𝋣·𝋭·𝋬
Chinese: 一十一萬三千四百七十二
Chinese (financial): 壹拾壹萬參仟肆佰柒拾貳

In other modern scripts

Eastern Arabic ١١٣٤٧٢ Devanagari ११३४७२ Bengali ১১৩৪৭২ Tamil ௧௧௩௪௭௨ Thai ๑๑๓๔๗๒ Tibetan ༡༡༣༤༧༢ Khmer ១១៣៤៧២ Lao ໑໑໓໔໗໒ Burmese ၁၁၃၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113472, here are decompositions:

5 + 113467 = 113472
19 + 113453 = 113472
89 + 113383 = 113472
101 + 113371 = 113472
109 + 113363 = 113472
113 + 113359 = 113472
131 + 113341 = 113472
193 + 113279 = 113472

Showing the first eight; more decompositions exist.

Hex color

#01BB40

RGB(1, 187, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.64.

Address: 0.1.187.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.187.64

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 113,472 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 US113,472 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 113472 first appears in π at position 18,624 of the decimal expansion (the 18,624ordinal-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 113472 on Pi Search ↗