Live analysis

137,610

137,610 is a composite number, even.

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.).

137,610 (one hundred thirty-seven thousand six hundred ten) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 5 × 11 × 139. Its proper divisors sum to 255,510, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2198A.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

137,598 137,599 137,600 137,601 137,602 137,603 137,604 137,605 137,606 137,607 137,608 137,609 137,610 137,611 137,612 137,613 137,614 137,615 137,616 137,617 137,618 137,619 137,620 137,621 137,622

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 16,731
Recamán's sequence: a(493,607) = 137,610
Square (n²): 18,936,512,100
Cube (n³): 2,605,853,430,081,000
Divisor count: 48
σ(n) — sum of divisors: 393,120
φ(n) — Euler's totient: 33,120
Sum of prime factors: 163

Primality

Prime factorization: 2 × 3 ² × 5 × 11 × 139

Nearest primes: 137,597 (−13) · 137,623 (+13)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 11 · 15 · 18 · 22 · 30 · 33 · 45 · 55 · 66 · 90 · 99 · 110 · 139 · 165 · 198 · 278 · 330 · 417 · 495 · 695 · 834 · 990 · 1251 · 1390 · 1529 · 2085 · 2502 · 3058 · 4170 · 4587 · 6255 · 7645 · 9174 · 12510 · 13761 · 15290 · 22935 · 27522 · 45870 · 68805 (half) · 137610

Aliquot sum (sum of proper divisors): 255,510

Factor pairs (a × b = 137,610)

1 × 137610

2 × 68805

3 × 45870

5 × 27522

6 × 22935

9 × 15290

10 × 13761

11 × 12510

15 × 9174

18 × 7645

22 × 6255

30 × 4587

33 × 4170

45 × 3058

55 × 2502

66 × 2085

90 × 1529

99 × 1390

110 × 1251

139 × 990

165 × 834

198 × 695

278 × 495

330 × 417

First multiples

137,610 · 275,220 (double) · 412,830 · 550,440 · 688,050 · 825,660 · 963,270 · 1,100,880 · 1,238,490 · 1,376,100

Sums & aliquot sequence

As consecutive integers: 45,869 + 45,870 + 45,871 34,401 + 34,402 + 34,403 + 34,404 27,520 + 27,521 + 27,522 + 27,523 + 27,524 15,286 + 15,287 + … + 15,294

Aliquot sequence: 137,610 → 255,510 → 452,106 → 527,496 → 835,704 → 1,561,896 → 3,401,304 → 5,550,696 → 9,482,634 → 16,800,246 → 19,707,498 → 23,535,702 → 27,458,358 → 28,541,898 → 48,562,038 → 76,979,322 → 120,155,814 — unresolved within range

Continued fraction of √n

√137,610 = [370; (1, 22, 1, 14, 5, 2, 7, 1, 3, 1, 2, 1, 1, 1, 9, 2, 1, 1, 4, 82, 4, 1, 1, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand six hundred ten
Ordinal: 137610th
Binary: 100001100110001010
Octal: 414612
Hexadecimal: 0x2198A
Base64: AhmK
One's complement: 4,294,829,685 (32-bit)
Scientific notation: 1.3761 × 10⁵
As a duration: 137,610 s = 1 day, 14 hours, 13 minutes, 30 seconds

In other bases

ternary (3) 20222202200

quaternary (4) 201212022

quinary (5) 13400420

senary (6) 2541030

septenary (7) 1112124

nonary (9) 228680

undecimal (11) 94430

duodecimal (12) 67776

tridecimal (13) 4a835

tetradecimal (14) 38214

pentadecimal (15) 2ab90

Palindromic in base 12

As an angle

137,610° = 382 × 360° + 90°

90° ≈ 1.571 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆
Greek (Milesian): ͵ρλζχιʹ
Mayan (base 20): 𝋱·𝋤·𝋠·𝋪
Chinese: 一十三萬七千六百一十
Chinese (financial): 壹拾參萬柒仟陸佰壹拾

In other modern scripts

Eastern Arabic ١٣٧٦١٠ Devanagari १३७६१० Bengali ১৩৭৬১০ Tamil ௧௩௭௬௧௦ Thai ๑๓๗๖๑๐ Tibetan ༡༣༧༦༡༠ Khmer ១៣៧៦១០ Lao ໑໓໗໖໑໐ Burmese ၁၃၇၆၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137610, here are decompositions:

13 + 137597 = 137610
17 + 137593 = 137610
23 + 137587 = 137610
37 + 137573 = 137610
43 + 137567 = 137610
73 + 137537 = 137610
103 + 137507 = 137610
127 + 137483 = 137610

Showing the first eight; more decompositions exist.

Unicode codepoint

𡦊

CJK Unified Ideograph-2198A

U+2198A

Other letter (Lo)

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

Lookup U+2198A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02198A

RGB(2, 25, 138)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.138.

Address: 0.2.25.138
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.25.138

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 137,610 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 US137,610 on Google Patents ↗ Look up on USPTO ↗