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137,735

137,735 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.).

137,735 (one hundred thirty-seven thousand seven hundred thirty-five) is an odd 6-digit number. It is a composite number with 12 divisors, and factors as 5 × 13² × 163. Written other ways, in hexadecimal, 0x21A07.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
2,205
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
537,731
Recamán's sequence
a(493,357) = 137,735
Square (n²)
18,970,930,225
Cube (n³)
2,612,961,074,540,375
Divisor count
12
σ(n) — sum of divisors
180,072
φ(n) — Euler's totient
101,088
Sum of prime factors
194

Primality

Prime factorization: 5 × 13 2 × 163

Nearest primes: 137,723 (−12) · 137,737 (+2)

Divisors & multiples

All divisors (12)
1 · 5 · 13 · 65 · 163 · 169 · 815 · 845 · 2119 · 10595 · 27547 · 137735
Aliquot sum (sum of proper divisors): 42,337
Factor pairs (a × b = 137,735)
1 × 137735
5 × 27547
13 × 10595
65 × 2119
163 × 845
169 × 815
First multiples
137,735 · 275,470 (double) · 413,205 · 550,940 · 688,675 · 826,410 · 964,145 · 1,101,880 · 1,239,615 · 1,377,350

Sums & aliquot sequence

As consecutive integers: 68,867 + 68,868 27,545 + 27,546 + 27,547 + 27,548 + 27,549 13,769 + 13,770 + … + 13,778 10,589 + 10,590 + … + 10,601
Aliquot sequence: 137,735 42,337 1 0 — terminates at zero

Continued fraction of √n

√137,735 = [371; (7, 1, 8, 1, 1, 11, 1, 1, 1, 3, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand seven hundred thirty-five
Ordinal
137735th
Binary
100001101000000111
Octal
415007
Hexadecimal
0x21A07
Base64
AhoH
One's complement
4,294,829,560 (32-bit)
Scientific notation
1.37735 × 10⁵
As a duration
137,735 s = 1 day, 14 hours, 15 minutes, 35 seconds
In other bases
ternary (3) 20222221022
quaternary (4) 201220013
quinary (5) 13401420
senary (6) 2541355
septenary (7) 1112363
nonary (9) 228838
undecimal (11) 94534
duodecimal (12) 6785b
tridecimal (13) 4a900
tetradecimal (14) 382a3
pentadecimal (15) 2ac25

As an angle

137,735° = 382 × 360° + 215°
215° ≈ 3.752 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζψλεʹ
Mayan (base 20)
𝋱·𝋤·𝋦·𝋯
Chinese
一十三萬七千七百三十五
Chinese (financial)
壹拾參萬柒仟柒佰參拾伍
In other modern scripts
Eastern Arabic ١٣٧٧٣٥ Devanagari १३७७३५ Bengali ১৩৭৭৩৫ Tamil ௧௩௭௭௩௫ Thai ๑๓๗๗๓๕ Tibetan ༡༣༧༧༣༥ Khmer ១៣៧៧៣៥ Lao ໑໓໗໗໓໕ Burmese ၁၃၇၇၃၅

Also seen as

Unicode codepoint
𡨇
CJK Unified Ideograph-21A07
U+21A07
Other letter (Lo)

UTF-8 encoding: F0 A1 A8 87 (4 bytes).

Hex color
#021A07
RGB(2, 26, 7)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.7.

Address
0.2.26.7
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.7

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 137,735 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 137735 first appears in π at position 240,035 of the decimal expansion (the 240,035ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.