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137,601

137,601 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.).

137,601 (one hundred thirty-seven thousand six hundred one) is an odd 6-digit number. It is a composite number with 6 divisors, and factors as 3² × 15,289. Written other ways, in hexadecimal, 0x21981.

Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
106,731
Recamán's sequence
a(493,625) = 137,601
Square (n²)
18,934,035,201
Cube (n³)
2,605,342,177,692,801
Divisor count
6
σ(n) — sum of divisors
198,770
φ(n) — Euler's totient
91,728
Sum of prime factors
15,295

Primality

Prime factorization: 3 2 × 15289

Nearest primes: 137,597 (−4) · 137,623 (+22)

Divisors & multiples

All divisors (6)
1 · 3 · 9 · 15289 · 45867 · 137601
Aliquot sum (sum of proper divisors): 61,169
Factor pairs (a × b = 137,601)
1 × 137601
3 × 45867
9 × 15289
First multiples
137,601 · 275,202 (double) · 412,803 · 550,404 · 688,005 · 825,606 · 963,207 · 1,100,808 · 1,238,409 · 1,376,010

Sums & aliquot sequence

As a sum of two squares: 120² + 351²
As consecutive integers: 68,800 + 68,801 45,866 + 45,867 + 45,868 22,931 + 22,932 + 22,933 + 22,934 + 22,935 + 22,936 15,285 + 15,286 + … + 15,293
Aliquot sequence: 137,601 61,169 1 0 — terminates at zero

Continued fraction of √n

√137,601 = [370; (1, 17, 1, 1, 4, 1, 1, 1, 3, 3, 1, 1, 3, 11, 3, 4, 1, 3, 1, 4, 1, 2, 2, 1, …)]

Representations

In words
one hundred thirty-seven thousand six hundred one
Ordinal
137601st
Binary
100001100110000001
Octal
414601
Hexadecimal
0x21981
Base64
AhmB
One's complement
4,294,829,694 (32-bit)
Scientific notation
1.37601 × 10⁵
As a duration
137,601 s = 1 day, 14 hours, 13 minutes, 21 seconds
In other bases
ternary (3) 20222202100
quaternary (4) 201212001
quinary (5) 13400401
senary (6) 2541013
septenary (7) 1112112
nonary (9) 228670
undecimal (11) 94422
duodecimal (12) 67769
tridecimal (13) 4a829
tetradecimal (14) 38209
pentadecimal (15) 2ab86

As an angle

137,601° = 382 × 360° + 81°
81° ≈ 1.414 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλζχαʹ
Mayan (base 20)
𝋱·𝋤·𝋠·𝋡
Chinese
一十三萬七千六百零一
Chinese (financial)
壹拾參萬柒仟陸佰零壹
In other modern scripts
Eastern Arabic ١٣٧٦٠١ Devanagari १३७६०१ Bengali ১৩৭৬০১ Tamil ௧௩௭௬௦௧ Thai ๑๓๗๖๐๑ Tibetan ༡༣༧༦༠༡ Khmer ១៣៧៦០១ Lao ໑໓໗໖໐໑ Burmese ၁၃၇၆၀၁

Also seen as

Unicode codepoint
𡦁
CJK Unified Ideograph-21981
U+21981
Other letter (Lo)

UTF-8 encoding: F0 A1 A6 81 (4 bytes).

Hex color
#021981
RGB(2, 25, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.129.

Address
0.2.25.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.129

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 137,601 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 137601 first appears in π at position 782,944 of the decimal expansion (the 782,944ordinal-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°.