Live analysis

137,832

137,832 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.).

137,832 (one hundred thirty-seven thousand eight hundred thirty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,743. Its proper divisors sum to 206,808, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A68.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

137,820 137,821 137,822 137,823 137,824 137,825 137,826 137,827 137,828 137,829 137,830 137,831 137,832 137,833 137,834 137,835 137,836 137,837 137,838 137,839 137,840 137,841 137,842 137,843 137,844

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 1,008
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 238,731
Recamán's sequence: a(493,163) = 137,832
Square (n²): 18,997,660,224
Cube (n³): 2,618,485,503,994,368
Divisor count: 16
σ(n) — sum of divisors: 344,640
φ(n) — Euler's totient: 45,936
Sum of prime factors: 5,752

Primality

Prime factorization: 2 ³ × 3 × 5743

Nearest primes: 137,831 (−1) · 137,849 (+17)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5743 · 11486 · 17229 · 22972 · 34458 · 45944 · 68916 (half) · 137832

Aliquot sum (sum of proper divisors): 206,808

Factor pairs (a × b = 137,832)

1 × 137832

2 × 68916

3 × 45944

4 × 34458

6 × 22972

8 × 17229

12 × 11486

24 × 5743

First multiples

137,832 · 275,664 (double) · 413,496 · 551,328 · 689,160 · 826,992 · 964,824 · 1,102,656 · 1,240,488 · 1,378,320

Sums & aliquot sequence

As consecutive integers: 45,943 + 45,944 + 45,945 8,607 + 8,608 + … + 8,622 2,848 + 2,849 + … + 2,895

Aliquot sequence: 137,832 → 206,808 → 384,552 → 838,098 → 999,738 → 1,166,400 → 3,136,741 → 4,059 → 2,493 → 1,121 → 79 → 1 → 0 — terminates at zero

Continued fraction of √n

√137,832 = [371; (3, 1, 7, 1, 3, 1, 1, 1, 3, 1, 4, 9, 1, 25, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, …)]

Representations

In words: one hundred thirty-seven thousand eight hundred thirty-two
Ordinal: 137832nd
Binary: 100001101001101000
Octal: 415150
Hexadecimal: 0x21A68
Base64: Ahpo
One's complement: 4,294,829,463 (32-bit)
Scientific notation: 1.37832 × 10⁵
As a duration: 137,832 s = 1 day, 14 hours, 17 minutes, 12 seconds

In other bases

ternary (3) 21000001220

quaternary (4) 201221220

quinary (5) 13402312

senary (6) 2542040

septenary (7) 1112562

nonary (9) 230056

undecimal (11) 94612

duodecimal (12) 67920

tridecimal (13) 4a976

tetradecimal (14) 38332

pentadecimal (15) 2ac8c

As an angle

137,832° = 382 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλζωλβʹ
Mayan (base 20): 𝋱·𝋤·𝋫·𝋬
Chinese: 一十三萬七千八百三十二
Chinese (financial): 壹拾參萬柒仟捌佰參拾貳

In other modern scripts

Eastern Arabic ١٣٧٨٣٢ Devanagari १३७८३२ Bengali ১৩৭৮৩২ Tamil ௧௩௭௮௩௨ Thai ๑๓๗๘๓๒ Tibetan ༡༣༧༨༣༢ Khmer ១៣៧៨៣២ Lao ໑໓໗໘໓໒ Burmese ၁၃၇၈၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137832, here are decompositions:

5 + 137827 = 137832
29 + 137803 = 137832
41 + 137791 = 137832
61 + 137771 = 137832
89 + 137743 = 137832
109 + 137723 = 137832
173 + 137659 = 137832
179 + 137653 = 137832

Showing the first eight; more decompositions exist.

Unicode codepoint

𡩨

CJK Unified Ideograph-21A68

U+21A68

Other letter (Lo)

UTF-8 encoding: F0 A1 A9 A8 (4 bytes).

Lookup U+21A68 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021A68

RGB(2, 26, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.104.

Address: 0.2.26.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.26.104

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 137,832 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 US137,832 on Google Patents ↗ Look up on USPTO ↗