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137,505

137,505 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.).

137,505 (one hundred thirty-seven thousand five hundred five) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3 × 5 × 89 × 103. Written other ways, in hexadecimal, 0x21921.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Happy Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
505,731
Recamán's sequence
a(37,730) = 137,505
Square (n²)
18,907,625,025
Cube (n³)
2,599,892,979,062,625
Divisor count
16
σ(n) — sum of divisors
224,640
φ(n) — Euler's totient
71,808
Sum of prime factors
200

Primality

Prime factorization: 3 × 5 × 89 × 103

Nearest primes: 137,491 (−14) · 137,507 (+2)

Divisors & multiples

All divisors (16)
1 · 3 · 5 · 15 · 89 · 103 · 267 · 309 · 445 · 515 · 1335 · 1545 · 9167 · 27501 · 45835 · 137505
Aliquot sum (sum of proper divisors): 87,135
Factor pairs (a × b = 137,505)
1 × 137505
3 × 45835
5 × 27501
15 × 9167
89 × 1545
103 × 1335
267 × 515
309 × 445
First multiples
137,505 · 275,010 (double) · 412,515 · 550,020 · 687,525 · 825,030 · 962,535 · 1,100,040 · 1,237,545 · 1,375,050

Sums & aliquot sequence

As consecutive integers: 68,752 + 68,753 45,834 + 45,835 + 45,836 27,499 + 27,500 + 27,501 + 27,502 + 27,503 22,915 + 22,916 + 22,917 + 22,918 + 22,919 + 22,920
Aliquot sequence: 137,505 87,135 56,961 25,329 8,447 1 0 — terminates at zero

Continued fraction of √n

√137,505 = [370; (1, 4, 2, 4, 1, 740)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand five hundred five
Ordinal
137505th
Binary
100001100100100001
Octal
414441
Hexadecimal
0x21921
Base64
Ahkh
One's complement
4,294,829,790 (32-bit)
Scientific notation
1.37505 × 10⁵
As a duration
137,505 s = 1 day, 14 hours, 11 minutes, 45 seconds
In other bases
ternary (3) 20222121210
quaternary (4) 201210201
quinary (5) 13400010
senary (6) 2540333
septenary (7) 1111614
nonary (9) 228553
undecimal (11) 94345
duodecimal (12) 676a9
tridecimal (13) 4a784
tetradecimal (14) 3817b
pentadecimal (15) 2ab20

As an angle

137,505° = 381 × 360° + 345°
345° ≈ 6.021 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζφεʹ
Mayan (base 20)
𝋱·𝋣·𝋯·𝋥
Chinese
一十三萬七千五百零五
Chinese (financial)
壹拾參萬柒仟伍佰零伍
In other modern scripts
Eastern Arabic ١٣٧٥٠٥ Devanagari १३७५०५ Bengali ১৩৭৫০৫ Tamil ௧௩௭௫௦௫ Thai ๑๓๗๕๐๕ Tibetan ༡༣༧༥༠༥ Khmer ១៣៧៥០៥ Lao ໑໓໗໕໐໕ Burmese ၁၃၇၅၀၅

Also seen as

Unicode codepoint
𡤡
CJK Unified Ideograph-21921
U+21921
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 A1 (4 bytes).

Hex color
#021921
RGB(2, 25, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.33.

Address
0.2.25.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.33

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 137,505 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 137505 first appears in π at position 919,407 of the decimal expansion (the 919,407ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.