Live analysis

137,988

137,988 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.).

137,988 (one hundred thirty-seven thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,833. Its proper divisors sum to 210,906, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B04.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Moran Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

137,976 137,977 137,978 137,979 137,980 137,981 137,982 137,983 137,984 137,985 137,986 137,987 137,988 137,989 137,990 137,991 137,992 137,993 137,994 137,995 137,996 137,997 137,998 137,999 138,000

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 36
Digit product: 12,096
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 889,731
Recamán's sequence: a(492,851) = 137,988
Square (n²): 19,040,688,144
Cube (n³): 2,627,386,475,614,272
Divisor count: 18
σ(n) — sum of divisors: 348,894
φ(n) — Euler's totient: 45,984
Sum of prime factors: 3,843

Primality

Prime factorization: 2 ² × 3 ² × 3833

Nearest primes: 137,983 (−5) · 137,993 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3833 · 7666 · 11499 · 15332 · 22998 · 34497 · 45996 · 68994 (half) · 137988

Aliquot sum (sum of proper divisors): 210,906

Factor pairs (a × b = 137,988)

1 × 137988

2 × 68994

3 × 45996

4 × 34497

6 × 22998

9 × 15332

12 × 11499

18 × 7666

36 × 3833

First multiples

137,988 · 275,976 (double) · 413,964 · 551,952 · 689,940 · 827,928 · 965,916 · 1,103,904 · 1,241,892 · 1,379,880

Sums & aliquot sequence

As a sum of two squares: 192² + 318²

As consecutive integers: 45,995 + 45,996 + 45,997 17,245 + 17,246 + … + 17,252 15,328 + 15,329 + … + 15,336 5,738 + 5,739 + … + 5,761

Aliquot sequence: 137,988 → 210,906 → 246,096 → 443,034 → 529,158 → 712,698 → 946,182 → 1,007,610 → 1,410,726 → 1,427,802 → 1,427,814 → 1,784,826 → 2,108,154 → 2,108,166 → 2,108,178 → 2,492,730 → 3,988,602 — unresolved within range

Continued fraction of √n

√137,988 = [371; (2, 7, 6, 3, 1, 2, 5, 3, 4, 4, 1, 1, 1, 1, 1, 14, 1, 1, 5, 1, 2, 1, 1, 1, …)]

Representations

In words: one hundred thirty-seven thousand nine hundred eighty-eight
Ordinal: 137988th
Binary: 100001101100000100
Octal: 415404
Hexadecimal: 0x21B04
Base64: AhsE
One's complement: 4,294,829,307 (32-bit)
Scientific notation: 1.37988 × 10⁵
As a duration: 137,988 s = 1 day, 14 hours, 19 minutes, 48 seconds

In other bases

ternary (3) 21000021200

quaternary (4) 201230010

quinary (5) 13403423

senary (6) 2542500

septenary (7) 1113204

nonary (9) 230250

undecimal (11) 94744

duodecimal (12) 67a30

tridecimal (13) 4aa66

tetradecimal (14) 38404

pentadecimal (15) 2ad43

As an angle

137,988° = 383 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζϡπηʹ
Mayan (base 20): 𝋱·𝋤·𝋳·𝋨
Chinese: 一十三萬七千九百八十八
Chinese (financial): 壹拾參萬柒仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ١٣٧٩٨٨ Devanagari १३७९८८ Bengali ১৩৭৯৮৮ Tamil ௧௩௭௯௮௮ Thai ๑๓๗๙๘๘ Tibetan ༡༣༧༩༨༨ Khmer ១៣៧៩៨៨ Lao ໑໓໗໙໘໘ Burmese ၁၃၇၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137988, here are decompositions:

5 + 137983 = 137988
31 + 137957 = 137988
41 + 137947 = 137988
47 + 137941 = 137988
61 + 137927 = 137988
79 + 137909 = 137988
139 + 137849 = 137988
157 + 137831 = 137988

Showing the first eight; more decompositions exist.

Unicode codepoint

𡬄

CJK Unified Ideograph-21B04

U+21B04

Other letter (Lo)

UTF-8 encoding: F0 A1 AC 84 (4 bytes).

Lookup U+21B04 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021B04

RGB(2, 27, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.4.

Address: 0.2.27.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.27.4

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 137,988 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US137,988 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 137988 first appears in π at position 980,371 of the decimal expansion (the 980,371ordinal-suffix:st 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 137988 on Pi Search ↗