Live analysis

137,820

137,820 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.).

137,820 (one hundred thirty-seven thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 2,297. Its proper divisors sum to 248,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A5C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

137,808 137,809 137,810 137,811 137,812 137,813 137,814 137,815 137,816 137,817 137,818 137,819 137,820 137,821 137,822 137,823 137,824 137,825 137,826 137,827 137,828 137,829 137,830 137,831 137,832

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 18 bits
Reversed: 28,731
Recamán's sequence: a(493,187) = 137,820
Square (n²): 18,994,352,400
Cube (n³): 2,617,801,647,768,000
Divisor count: 24
σ(n) — sum of divisors: 386,064
φ(n) — Euler's totient: 36,736
Sum of prime factors: 2,309

Primality

Prime factorization: 2 ² × 3 × 5 × 2297

Nearest primes: 137,803 (−17) · 137,827 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 2297 · 4594 · 6891 · 9188 · 11485 · 13782 · 22970 · 27564 · 34455 · 45940 · 68910 (half) · 137820

Aliquot sum (sum of proper divisors): 248,244

Factor pairs (a × b = 137,820)

1 × 137820

2 × 68910

3 × 45940

4 × 34455

5 × 27564

6 × 22970

10 × 13782

12 × 11485

15 × 9188

20 × 6891

30 × 4594

60 × 2297

First multiples

137,820 · 275,640 (double) · 413,460 · 551,280 · 689,100 · 826,920 · 964,740 · 1,102,560 · 1,240,380 · 1,378,200

Sums & aliquot sequence

As consecutive integers: 45,939 + 45,940 + 45,941 27,562 + 27,563 + 27,564 + 27,565 + 27,566 17,224 + 17,225 + … + 17,231 9,181 + 9,182 + … + 9,195

Aliquot sequence: 137,820 → 248,244 → 339,084 → 518,136 → 777,264 → 1,230,792 → 1,846,248 → 2,879,352 → 6,387,048 → 11,322,072 → 22,892,328 → 40,698,072 → 72,352,728 → 154,252,872 → 278,553,528 → 600,912,072 → 1,074,958,488 — unresolved within range

Continued fraction of √n

√137,820 = [371; (4, 6, 1, 4, 1, 1, 2, 14, 1, 3, 5, 1, 66, 1, 1, 1, 12, 1, 1, 2, 5, 1, 5, 2, …)]

Representations

In words: one hundred thirty-seven thousand eight hundred twenty
Ordinal: 137820th
Binary: 100001101001011100
Octal: 415134
Hexadecimal: 0x21A5C
Base64: Ahpc
One's complement: 4,294,829,475 (32-bit)
Scientific notation: 1.3782 × 10⁵
As a duration: 137,820 s = 1 day, 14 hours, 17 minutes

In other bases

ternary (3) 21000001110

quaternary (4) 201221130

quinary (5) 13402240

senary (6) 2542020

septenary (7) 1112544

nonary (9) 230043

undecimal (11) 94601

duodecimal (12) 67910

tridecimal (13) 4a967

tetradecimal (14) 38324

pentadecimal (15) 2ac80

As an angle

137,820° = 382 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ρλζωκʹ
Mayan (base 20): 𝋱·𝋤·𝋫·𝋠
Chinese: 一十三萬七千八百二十
Chinese (financial): 壹拾參萬柒仟捌佰貳拾

In other modern scripts

Eastern Arabic ١٣٧٨٢٠ Devanagari १३७८२० Bengali ১৩৭৮২০ Tamil ௧௩௭௮௨௦ Thai ๑๓๗๘๒๐ Tibetan ༡༣༧༨༢༠ Khmer ១៣៧៨២០ Lao ໑໓໗໘໒໐ Burmese ၁၃၇၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137820, here are decompositions:

17 + 137803 = 137820
29 + 137791 = 137820
43 + 137777 = 137820
83 + 137737 = 137820
97 + 137723 = 137820
107 + 137713 = 137820
113 + 137707 = 137820
167 + 137653 = 137820

Showing the first eight; more decompositions exist.

Unicode codepoint

𡩜

CJK Unified Ideograph-21A5C

U+21A5C

Other letter (Lo)

UTF-8 encoding: F0 A1 A9 9C (4 bytes).

Lookup U+21A5C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021A5C

RGB(2, 26, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.92.

Address: 0.2.26.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.26.92

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 137,820 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 US137,820 on Google Patents ↗ Look up on USPTO ↗