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137,865

137,865 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.).

137,865 (one hundred thirty-seven thousand eight hundred sixty-five) is an odd 6-digit number. It is a composite number with 32 divisors, and factors as 3 × 5 × 7 × 13 × 101. Written other ways, in hexadecimal, 0x21A89.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
30
Digit product
5,040
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
568,731
Recamán's sequence
a(493,097) = 137,865
Square (n²)
19,006,758,225
Cube (n³)
2,620,366,722,689,625
Divisor count
32
σ(n) — sum of divisors
274,176
φ(n) — Euler's totient
57,600
Sum of prime factors
129

Primality

Prime factorization: 3 × 5 × 7 × 13 × 101

Nearest primes: 137,849 (−16) · 137,867 (+2)

Divisors & multiples

All divisors (32)
1 · 3 · 5 · 7 · 13 · 15 · 21 · 35 · 39 · 65 · 91 · 101 · 105 · 195 · 273 · 303 · 455 · 505 · 707 · 1313 · 1365 · 1515 · 2121 · 3535 · 3939 · 6565 · 9191 · 10605 · 19695 · 27573 · 45955 · 137865
Aliquot sum (sum of proper divisors): 136,311
Factor pairs (a × b = 137,865)
1 × 137865
3 × 45955
5 × 27573
7 × 19695
13 × 10605
15 × 9191
21 × 6565
35 × 3939
39 × 3535
65 × 2121
91 × 1515
101 × 1365
105 × 1313
195 × 707
273 × 505
303 × 455
First multiples
137,865 · 275,730 (double) · 413,595 · 551,460 · 689,325 · 827,190 · 965,055 · 1,102,920 · 1,240,785 · 1,378,650

Sums & aliquot sequence

As consecutive integers: 68,932 + 68,933 45,954 + 45,955 + 45,956 27,571 + 27,572 + 27,573 + 27,574 + 27,575 22,975 + 22,976 + 22,977 + 22,978 + 22,979 + 22,980
Aliquot sequence: 137,865 136,311 71,433 31,761 14,129 271 1 0 — terminates at zero

Continued fraction of √n

√137,865 = [371; (3, 3, 5, 2, 1, 2, 2, 8, 1, 45, 1, 1, 12, 1, 3, 11, 2, 1, 6, 1, 2, 11, 3, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand eight hundred sixty-five
Ordinal
137865th
Binary
100001101010001001
Octal
415211
Hexadecimal
0x21A89
Base64
AhqJ
One's complement
4,294,829,430 (32-bit)
Scientific notation
1.37865 × 10⁵
As a duration
137,865 s = 1 day, 14 hours, 17 minutes, 45 seconds
In other bases
ternary (3) 21000010010
quaternary (4) 201222021
quinary (5) 13402430
senary (6) 2542133
septenary (7) 1112640
nonary (9) 230103
undecimal (11) 94642
duodecimal (12) 67949
tridecimal (13) 4a9a0
tetradecimal (14) 38357
pentadecimal (15) 2acb0

As an angle

137,865° = 382 × 360° + 345°
345° ≈ 6.021 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωξεʹ
Mayan (base 20)
𝋱·𝋤·𝋭·𝋥
Chinese
一十三萬七千八百六十五
Chinese (financial)
壹拾參萬柒仟捌佰陸拾伍
In other modern scripts
Eastern Arabic ١٣٧٨٦٥ Devanagari १३७८६५ Bengali ১৩৭৮৬৫ Tamil ௧௩௭௮௬௫ Thai ๑๓๗๘๖๕ Tibetan ༡༣༧༨༦༥ Khmer ១៣៧៨៦៥ Lao ໑໓໗໘໖໕ Burmese ၁၃၇၈၆၅

Also seen as

Unicode codepoint
𡪉
CJK Unified Ideograph-21A89
U+21A89
Other letter (Lo)

UTF-8 encoding: F0 A1 AA 89 (4 bytes).

Hex color
#021A89
RGB(2, 26, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.137.

Address
0.2.26.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.137

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 137,865 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 137865 first appears in π at position 577,487 of the decimal expansion (the 577,487ordinal-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°.