Live analysis

137,013

137,013 is a composite number, odd.

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.).

137,013 (one hundred thirty-seven thousand thirteen) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 3 × 109 × 419. Written other ways, in hexadecimal, 0x21735.

Arithmetic Number Cube-Free Deficient Number Odious Number Sphenic Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

137,001 137,002 137,003 137,004 137,005 137,006 137,007 137,008 137,009 137,010 137,011 137,012 137,013 137,014 137,015 137,016 137,017 137,018 137,019 137,020 137,021 137,022 137,023 137,024 137,025

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 310,731
Square (n²): 18,772,562,169
Cube (n³): 2,572,085,060,461,197
Divisor count: 8
σ(n) — sum of divisors: 184,800
φ(n) — Euler's totient: 90,288
Sum of prime factors: 531

Primality

Prime factorization: 3 × 109 × 419

Nearest primes: 136,999 (−14) · 137,029 (+16)

Divisors & multiples

All divisors (8)

1 · 3 · 109 · 327 · 419 · 1257 · 45671 · 137013

Aliquot sum (sum of proper divisors): 47,787

Factor pairs (a × b = 137,013)

1 × 137013

3 × 45671

109 × 1257

327 × 419

First multiples

137,013 · 274,026 (double) · 411,039 · 548,052 · 685,065 · 822,078 · 959,091 · 1,096,104 · 1,233,117 · 1,370,130

Sums & aliquot sequence

As consecutive integers: 68,506 + 68,507 45,670 + 45,671 + 45,672 22,833 + 22,834 + 22,835 + 22,836 + 22,837 + 22,838 1,203 + 1,204 + … + 1,311

Aliquot sequence: 137,013 → 47,787 → 19,749 → 7,611 → 2,949 → 987 → 549 → 257 → 1 → 0 — terminates at zero

Continued fraction of √n

√137,013 = [370; (6, 1, 1, 4, 2, 105, 3, 3, 1, 34, 2, 14, 1, 1, 1, 1, 2, 246, 2, 1, 1, 1, 1, 14, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand thirteen
Ordinal: 137013th
Binary: 100001011100110101
Octal: 413465
Hexadecimal: 0x21735
Base64: Ahc1
One's complement: 4,294,830,282 (32-bit)
Scientific notation: 1.37013 × 10⁵
As a duration: 137,013 s = 1 day, 14 hours, 3 minutes, 33 seconds

In other bases

ternary (3) 20221221120

quaternary (4) 201130311

quinary (5) 13341023

senary (6) 2534153

septenary (7) 1110312

nonary (9) 227846

undecimal (11) 93a38

duodecimal (12) 67359

tridecimal (13) 4a496

tetradecimal (14) 37d09

pentadecimal (15) 2a8e3

As an angle

137,013° = 380 × 360° + 213°

213° ≈ 3.718 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

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

In other modern scripts

Eastern Arabic ١٣٧٠١٣ Devanagari १३७०१३ Bengali ১৩৭০১৩ Tamil ௧௩௭௦௧௩ Thai ๑๓๗๐๑๓ Tibetan ༡༣༧༠༡༣ Khmer ១៣៧០១៣ Lao ໑໓໗໐໑໓ Burmese ၁၃၇၀၁၃

Also seen as

Unicode codepoint

𡜵

CJK Unified Ideograph-21735

U+21735

Other letter (Lo)

UTF-8 encoding: F0 A1 9C B5 (4 bytes).

Lookup U+21735 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021735

RGB(2, 23, 53)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.53.

Address: 0.2.23.53
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.53

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 137,013 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 US137,013 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 137013 first appears in π at position 23,384 of the decimal expansion (the 23,384ordinal-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 137013 on Pi Search ↗