Live analysis

137,616

137,616 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.).

137,616 (one hundred thirty-seven thousand six hundred sixteen) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 47 × 61. Its proper divisors sum to 231,408, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21990.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

137,604 137,605 137,606 137,607 137,608 137,609 137,610 137,611 137,612 137,613 137,614 137,615 137,616 137,617 137,618 137,619 137,620 137,621 137,622 137,623 137,624 137,625 137,626 137,627 137,628

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 756
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 616,731
Recamán's sequence: a(493,595) = 137,616
Square (n²): 18,938,163,456
Cube (n³): 2,606,194,302,160,896
Divisor count: 40
σ(n) — sum of divisors: 369,024
φ(n) — Euler's totient: 44,160
Sum of prime factors: 119

Primality

Prime factorization: 2 ⁴ × 3 × 47 × 61

Nearest primes: 137,597 (−19) · 137,623 (+7)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 47 · 48 · 61 · 94 · 122 · 141 · 183 · 188 · 244 · 282 · 366 · 376 · 488 · 564 · 732 · 752 · 976 · 1128 · 1464 · 2256 · 2867 · 2928 · 5734 · 8601 · 11468 · 17202 · 22936 · 34404 · 45872 · 68808 (half) · 137616

Aliquot sum (sum of proper divisors): 231,408

Factor pairs (a × b = 137,616)

1 × 137616

2 × 68808

3 × 45872

4 × 34404

6 × 22936

8 × 17202

12 × 11468

16 × 8601

24 × 5734

47 × 2928

48 × 2867

61 × 2256

94 × 1464

122 × 1128

141 × 976

183 × 752

188 × 732

244 × 564

282 × 488

366 × 376

First multiples

137,616 · 275,232 (double) · 412,848 · 550,464 · 688,080 · 825,696 · 963,312 · 1,100,928 · 1,238,544 · 1,376,160

Sums & aliquot sequence

As consecutive integers: 45,871 + 45,872 + 45,873 4,285 + 4,286 + … + 4,316 2,905 + 2,906 + … + 2,951 2,226 + 2,227 + … + 2,286

Aliquot sequence: 137,616 → 231,408 → 416,616 → 624,984 → 937,536 → 1,683,744 → 2,736,336 → 4,411,024 → 4,638,620 → 7,154,980 → 10,491,320 → 16,854,280 → 23,062,520 → 32,821,000 → 47,375,480 → 59,445,160 → 74,554,040 — unresolved within range

Continued fraction of √n

√137,616 = [370; (1, 28, 1, 2, 8, 1, 14, 1, 8, 2, 1, 28, 1, 740)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand six hundred sixteen
Ordinal: 137616th
Binary: 100001100110010000
Octal: 414620
Hexadecimal: 0x21990
Base64: AhmQ
One's complement: 4,294,829,679 (32-bit)
Scientific notation: 1.37616 × 10⁵
As a duration: 137,616 s = 1 day, 14 hours, 13 minutes, 36 seconds

In other bases

ternary (3) 20222202220

quaternary (4) 201212100

quinary (5) 13400431

senary (6) 2541040

septenary (7) 1112133

nonary (9) 228686

undecimal (11) 94436

duodecimal (12) 67780

tridecimal (13) 4a83b

tetradecimal (14) 3821a

pentadecimal (15) 2ab96

Palindromic in base 5

As an angle

137,616° = 382 × 360° + 96°

96° ≈ 1.676 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζχιϛʹ
Mayan (base 20): 𝋱·𝋤·𝋠·𝋰
Chinese: 一十三萬七千六百一十六
Chinese (financial): 壹拾參萬柒仟陸佰壹拾陸

In other modern scripts

Eastern Arabic ١٣٧٦١٦ Devanagari १३७६१६ Bengali ১৩৭৬১৬ Tamil ௧௩௭௬௧௬ Thai ๑๓๗๖๑๖ Tibetan ༡༣༧༦༡༦ Khmer ១៣៧៦១៦ Lao ໑໓໗໖໑໖ Burmese ၁၃၇၆၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137616, here are decompositions:

19 + 137597 = 137616
23 + 137593 = 137616
29 + 137587 = 137616
43 + 137573 = 137616
79 + 137537 = 137616
97 + 137519 = 137616
109 + 137507 = 137616
139 + 137477 = 137616

Showing the first eight; more decompositions exist.

Unicode codepoint

𡦐

CJK Unified Ideograph-21990

U+21990

Other letter (Lo)

UTF-8 encoding: F0 A1 A6 90 (4 bytes).

Lookup U+21990 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021990

RGB(2, 25, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.144.

Address: 0.2.25.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.25.144

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 137,616 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 US137,616 on Google Patents ↗ Look up on USPTO ↗