Live analysis

137,982

137,982 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.).

137,982 (one hundred thirty-seven thousand nine hundred eighty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 29 × 61. Its proper divisors sum to 174,498, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21AFE.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

137,970 137,971 137,972 137,973 137,974 137,975 137,976 137,977 137,978 137,979 137,980 137,981 137,982 137,983 137,984 137,985 137,986 137,987 137,988 137,989 137,990 137,991 137,992 137,993 137,994

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 3,024
Digital root: 3
Palindrome: No
Bit width: 18 bits
Reversed: 289,731
Recamán's sequence: a(492,863) = 137,982
Square (n²): 19,039,032,324
Cube (n³): 2,627,043,758,130,168
Divisor count: 32
σ(n) — sum of divisors: 312,480
φ(n) — Euler's totient: 40,320
Sum of prime factors: 108

Primality

Prime factorization: 2 × 3 × 13 × 29 × 61

Nearest primes: 137,957 (−25) · 137,983 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 13 · 26 · 29 · 39 · 58 · 61 · 78 · 87 · 122 · 174 · 183 · 366 · 377 · 754 · 793 · 1131 · 1586 · 1769 · 2262 · 2379 · 3538 · 4758 · 5307 · 10614 · 22997 · 45994 · 68991 (half) · 137982

Aliquot sum (sum of proper divisors): 174,498

Factor pairs (a × b = 137,982)

1 × 137982

2 × 68991

3 × 45994

6 × 22997

13 × 10614

26 × 5307

29 × 4758

39 × 3538

58 × 2379

61 × 2262

78 × 1769

87 × 1586

122 × 1131

174 × 793

183 × 754

366 × 377

First multiples

137,982 · 275,964 (double) · 413,946 · 551,928 · 689,910 · 827,892 · 965,874 · 1,103,856 · 1,241,838 · 1,379,820

Sums & aliquot sequence

As consecutive integers: 45,993 + 45,994 + 45,995 34,494 + 34,495 + 34,496 + 34,497 11,493 + 11,494 + … + 11,504 10,608 + 10,609 + … + 10,620

Aliquot sequence: 137,982 → 174,498 → 178,782 → 184,098 → 190,878 → 204,402 → 267,918 → 344,562 → 344,574 → 430,746 → 512,742 → 524,490 → 734,358 → 734,370 → 1,442,910 → 2,515,362 → 2,556,510 — unresolved within range

Continued fraction of √n

√137,982 = [371; (2, 5, 1, 1, 1, 3, 1, 1, 9, 2, 11, 1, 1, 33, 4, 33, 1, 1, 11, 2, 9, 1, 1, 3, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand nine hundred eighty-two
Ordinal: 137982nd
Binary: 100001101011111110
Octal: 415376
Hexadecimal: 0x21AFE
Base64: Ahr+
One's complement: 4,294,829,313 (32-bit)
Scientific notation: 1.37982 × 10⁵
As a duration: 137,982 s = 1 day, 14 hours, 19 minutes, 42 seconds

In other bases

ternary (3) 21000021110

quaternary (4) 201223332

quinary (5) 13403412

senary (6) 2542450

septenary (7) 1113165

nonary (9) 230243

undecimal (11) 94739

duodecimal (12) 67a26

tridecimal (13) 4aa60

tetradecimal (14) 383dc

pentadecimal (15) 2ad3c

As an angle

137,982° = 383 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλζϡπβʹ
Mayan (base 20): 𝋱·𝋤·𝋳·𝋢
Chinese: 一十三萬七千九百八十二
Chinese (financial): 壹拾參萬柒仟玖佰捌拾貳

In other modern scripts

Eastern Arabic ١٣٧٩٨٢ Devanagari १३७९८२ Bengali ১৩৭৯৮২ Tamil ௧௩௭௯௮௨ Thai ๑๓๗๙๘๒ Tibetan ༡༣༧༩༨༢ Khmer ១៣៧៩៨២ Lao ໑໓໗໙໘໒ Burmese ၁၃၇၉၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137982, here are decompositions:

41 + 137941 = 137982
71 + 137911 = 137982
73 + 137909 = 137982
109 + 137873 = 137982
113 + 137869 = 137982
151 + 137831 = 137982
179 + 137803 = 137982
191 + 137791 = 137982

Showing the first eight; more decompositions exist.

Unicode codepoint

𡫾

CJK Unified Ideograph-21Afe

U+21AFE

Other letter (Lo)

UTF-8 encoding: F0 A1 AB BE (4 bytes).

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

Hex color

#021AFE

RGB(2, 26, 254)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.254.

Address: 0.2.26.254
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.26.254

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 137,982 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 US137,982 on Google Patents ↗ Look up on USPTO ↗