Live analysis

113,988

113,988 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.).

113,988 (one hundred thirteen thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 23 × 59. Its proper divisors sum to 208,572, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BD44.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

113,976 113,977 113,978 113,979 113,980 113,981 113,982 113,983 113,984 113,985 113,986 113,987 113,988 113,989 113,990 113,991 113,992 113,993 113,994 113,995 113,996 113,997 113,998 113,999 114,000

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 1,728
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 889,311
Recamán's sequence: a(56,763) = 113,988
Square (n²): 12,993,264,144
Cube (n³): 1,481,076,193,246,272
Divisor count: 48
σ(n) — sum of divisors: 322,560
φ(n) — Euler's totient: 30,624
Sum of prime factors: 96

Primality

Prime factorization: 2 ² × 3 × 7 × 23 × 59

Nearest primes: 113,983 (−5) · 113,989 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 23 · 28 · 42 · 46 · 59 · 69 · 84 · 92 · 118 · 138 · 161 · 177 · 236 · 276 · 322 · 354 · 413 · 483 · 644 · 708 · 826 · 966 · 1239 · 1357 · 1652 · 1932 · 2478 · 2714 · 4071 · 4956 · 5428 · 8142 · 9499 · 16284 · 18998 · 28497 · 37996 · 56994 (half) · 113988

Aliquot sum (sum of proper divisors): 208,572

Factor pairs (a × b = 113,988)

1 × 113988

2 × 56994

3 × 37996

4 × 28497

6 × 18998

7 × 16284

12 × 9499

14 × 8142

21 × 5428

23 × 4956

28 × 4071

42 × 2714

46 × 2478

59 × 1932

69 × 1652

84 × 1357

92 × 1239

118 × 966

138 × 826

161 × 708

177 × 644

236 × 483

276 × 413

322 × 354

First multiples

113,988 · 227,976 (double) · 341,964 · 455,952 · 569,940 · 683,928 · 797,916 · 911,904 · 1,025,892 · 1,139,880

Sums & aliquot sequence

As consecutive integers: 37,995 + 37,996 + 37,997 16,281 + 16,282 + … + 16,287 14,245 + 14,246 + … + 14,252 5,418 + 5,419 + … + 5,438

Aliquot sequence: 113,988 → 208,572 → 393,540 → 867,132 → 1,856,708 → 1,923,418 → 1,373,894 → 686,950 → 708,050 → 919,357 → 1,919 → 121 → 12 → 16 → 15 → 9 → 4 — unresolved within range

Continued fraction of √n

√113,988 = [337; (1, 1, 1, 1, 1, 3, 2, 1, 2, 3, 7, 1, 5, 4, 1, 9, 1, 2, 1, 9, 1, 4, 5, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand nine hundred eighty-eight
Ordinal: 113988th
Binary: 11011110101000100
Octal: 336504
Hexadecimal: 0x1BD44
Base64: Ab1E
One's complement: 4,294,853,307 (32-bit)
Scientific notation: 1.13988 × 10⁵
As a duration: 113,988 s = 1 day, 7 hours, 39 minutes, 48 seconds

In other bases

ternary (3) 12210100210

quaternary (4) 123311010

quinary (5) 12121423

senary (6) 2235420

septenary (7) 653220

nonary (9) 183323

undecimal (11) 78706

duodecimal (12) 55b70

tridecimal (13) 3cb64

tetradecimal (14) 2d780

pentadecimal (15) 23b93

As an angle

113,988° = 316 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριγϡπηʹ
Mayan (base 20): 𝋮·𝋤·𝋳·𝋨
Chinese: 一十一萬三千九百八十八
Chinese (financial): 壹拾壹萬參仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ١١٣٩٨٨ Devanagari ११३९८८ Bengali ১১৩৯৮৮ Tamil ௧௧௩௯௮௮ Thai ๑๑๓๙๘๘ Tibetan ༡༡༣༩༨༨ Khmer ១១៣៩៨៨ Lao ໑໑໓໙໘໘ Burmese ၁၁၃၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113988, here are decompositions:

5 + 113983 = 113988
19 + 113969 = 113988
31 + 113957 = 113988
41 + 113947 = 113988
67 + 113921 = 113988
79 + 113909 = 113988
89 + 113899 = 113988
97 + 113891 = 113988

Showing the first eight; more decompositions exist.

Hex color

#01BD44

RGB(1, 189, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.68.

Address: 0.1.189.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.189.68

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 113,988 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 US113,988 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 113988 first appears in π at position 226,605 of the decimal expansion (the 226,605ordinal-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 113988 on Pi Search ↗