Live analysis

137,772

137,772 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.).

137,772 (one hundred thirty-seven thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 43 × 89. Its proper divisors sum to 222,588, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A2C.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

137,760 137,761 137,762 137,763 137,764 137,765 137,766 137,767 137,768 137,769 137,770 137,771 137,772 137,773 137,774 137,775 137,776 137,777 137,778 137,779 137,780 137,781 137,782 137,783 137,784

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 2,058
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 277,731
Recamán's sequence: a(493,283) = 137,772
Square (n²): 18,981,123,984
Cube (n³): 2,615,067,413,523,648
Divisor count: 36
σ(n) — sum of divisors: 360,360
φ(n) — Euler's totient: 44,352
Sum of prime factors: 142

Primality

Prime factorization: 2 ² × 3 ² × 43 × 89

Nearest primes: 137,771 (−1) · 137,777 (+5)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 43 · 86 · 89 · 129 · 172 · 178 · 258 · 267 · 356 · 387 · 516 · 534 · 774 · 801 · 1068 · 1548 · 1602 · 3204 · 3827 · 7654 · 11481 · 15308 · 22962 · 34443 · 45924 · 68886 (half) · 137772

Aliquot sum (sum of proper divisors): 222,588

Factor pairs (a × b = 137,772)

1 × 137772

2 × 68886

3 × 45924

4 × 34443

6 × 22962

9 × 15308

12 × 11481

18 × 7654

36 × 3827

43 × 3204

86 × 1602

89 × 1548

129 × 1068

172 × 801

178 × 774

258 × 534

267 × 516

356 × 387

First multiples

137,772 · 275,544 (double) · 413,316 · 551,088 · 688,860 · 826,632 · 964,404 · 1,102,176 · 1,239,948 · 1,377,720

Sums & aliquot sequence

As consecutive integers: 45,923 + 45,924 + 45,925 17,218 + 17,219 + … + 17,225 15,304 + 15,305 + … + 15,312 5,729 + 5,730 + … + 5,752

Aliquot sequence: 137,772 → 222,588 → 363,452 → 272,596 → 225,356 → 176,836 → 160,844 → 124,756 → 93,574 → 62,666 → 31,336 → 27,434 → 20,086 → 13,430 → 12,490 → 10,010 → 14,182 — unresolved within range

Continued fraction of √n

√137,772 = [371; (5, 1, 1, 1, 92, 6, 1, 3, 1, 184, 1, 3, 1, 6, 92, 1, 1, 1, 5, 742)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand seven hundred seventy-two
Ordinal: 137772nd
Binary: 100001101000101100
Octal: 415054
Hexadecimal: 0x21A2C
Base64: Ahos
One's complement: 4,294,829,523 (32-bit)
Scientific notation: 1.37772 × 10⁵
As a duration: 137,772 s = 1 day, 14 hours, 16 minutes, 12 seconds

In other bases

ternary (3) 20222222200

quaternary (4) 201220230

quinary (5) 13402042

senary (6) 2541500

septenary (7) 1112445

nonary (9) 228880

undecimal (11) 94568

duodecimal (12) 67890

tridecimal (13) 4a92b

tetradecimal (14) 382cc

pentadecimal (15) 2ac4c

As an angle

137,772° = 382 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλζψοβʹ
Mayan (base 20): 𝋱·𝋤·𝋨·𝋬
Chinese: 一十三萬七千七百七十二
Chinese (financial): 壹拾參萬柒仟柒佰柒拾貳

In other modern scripts

Eastern Arabic ١٣٧٧٧٢ Devanagari १३७७७२ Bengali ১৩৭৭৭২ Tamil ௧௩௭௭௭௨ Thai ๑๓๗๗๗๒ Tibetan ༡༣༧༧༧༢ Khmer ១៣៧៧៧២ Lao ໑໓໗໗໗໒ Burmese ၁၃၇၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137772, here are decompositions:

29 + 137743 = 137772
59 + 137713 = 137772
73 + 137699 = 137772
113 + 137659 = 137772
139 + 137633 = 137772
149 + 137623 = 137772
179 + 137593 = 137772
199 + 137573 = 137772

Showing the first eight; more decompositions exist.

Unicode codepoint

𡨬

CJK Unified Ideograph-21A2C

U+21A2C

Other letter (Lo)

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

Lookup U+21A2C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021A2C

RGB(2, 26, 44)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.44.

Address: 0.2.26.44
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.26.44

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 137,772 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 US137,772 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 137772 first appears in π at position 99,684 of the decimal expansion (the 99,684ordinal-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 137772 on Pi Search ↗