Live analysis

137,010

137,010 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.).

137,010 (one hundred thirty-seven thousand ten) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 4,567. Its proper divisors sum to 191,886, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21732.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

136,998 136,999 137,000 137,001 137,002 137,003 137,004 137,005 137,006 137,007 137,008 137,009 137,010 137,011 137,012 137,013 137,014 137,015 137,016 137,017 137,018 137,019 137,020 137,021 137,022

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 18 bits
Reversed: 10,731
Square (n²): 18,771,740,100
Cube (n³): 2,571,916,111,101,000
Divisor count: 16
σ(n) — sum of divisors: 328,896
φ(n) — Euler's totient: 36,528
Sum of prime factors: 4,577

Primality

Prime factorization: 2 × 3 × 5 × 4567

Nearest primes: 136,999 (−11) · 137,029 (+19)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 4567 · 9134 · 13701 · 22835 · 27402 · 45670 · 68505 (half) · 137010

Aliquot sum (sum of proper divisors): 191,886

Factor pairs (a × b = 137,010)

1 × 137010

2 × 68505

3 × 45670

5 × 27402

6 × 22835

10 × 13701

15 × 9134

30 × 4567

First multiples

137,010 · 274,020 (double) · 411,030 · 548,040 · 685,050 · 822,060 · 959,070 · 1,096,080 · 1,233,090 · 1,370,100

Sums & aliquot sequence

As consecutive integers: 45,669 + 45,670 + 45,671 34,251 + 34,252 + 34,253 + 34,254 27,400 + 27,401 + 27,402 + 27,403 + 27,404 11,412 + 11,413 + … + 11,423

Aliquot sequence: 137,010 → 191,886 → 191,898 → 283,590 → 491,418 → 620,550 → 1,294,506 → 1,510,296 → 2,265,504 → 3,681,696 → 5,983,008 → 9,722,640 → 22,203,888 → 43,351,440 → 103,264,176 → 163,501,736 → 143,064,034 — unresolved within range

Continued fraction of √n

√137,010 = [370; (6, 1, 2, 1, 2, 5, 1, 3, 18, 1, 2, 1, 1, 2, 6, 3, 1, 1, 3, 2, 3, 4, 11, 6, …)]

Representations

In words: one hundred thirty-seven thousand ten
Ordinal: 137010th
Binary: 100001011100110010
Octal: 413462
Hexadecimal: 0x21732
Base64: Ahcy
One's complement: 4,294,830,285 (32-bit)
Scientific notation: 1.3701 × 10⁵
As a duration: 137,010 s = 1 day, 14 hours, 3 minutes, 30 seconds

In other bases

ternary (3) 20221221110

quaternary (4) 201130302

quinary (5) 13341020

senary (6) 2534150

septenary (7) 1110306

nonary (9) 227843

undecimal (11) 93a35

duodecimal (12) 67356

tridecimal (13) 4a493

tetradecimal (14) 37d06

pentadecimal (15) 2a8e0

As an angle

137,010° = 380 × 360° + 210°

210° ≈ 3.665 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆
Greek (Milesian): ͵ρλζιʹ
Mayan (base 20): 𝋱·𝋢·𝋪·𝋪
Chinese: 一十三萬七千零一十
Chinese (financial): 壹拾參萬柒仟零壹拾

In other modern scripts

Eastern Arabic ١٣٧٠١٠ Devanagari १३७०१० Bengali ১৩৭০১০ Tamil ௧௩௭௦௧௦ Thai ๑๓๗๐๑๐ Tibetan ༡༣༧༠༡༠ Khmer ១៣៧០១០ Lao ໑໓໗໐໑໐ Burmese ၁၃၇၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137010, here are decompositions:

11 + 136999 = 137010
17 + 136993 = 137010
19 + 136991 = 137010
23 + 136987 = 137010
31 + 136979 = 137010
37 + 136973 = 137010
47 + 136963 = 137010
59 + 136951 = 137010

Showing the first eight; more decompositions exist.

Unicode codepoint

𡜲

CJK Unified Ideograph-21732

U+21732

Other letter (Lo)

UTF-8 encoding: F0 A1 9C B2 (4 bytes).

Lookup U+21732 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021732

RGB(2, 23, 50)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.50.

Address: 0.2.23.50
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.50

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 137,010 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 US137,010 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 137010 first appears in π at position 252,327 of the decimal expansion (the 252,327ordinal-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 137010 on Pi Search ↗