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124,488

124,488 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.).

124,488 (one hundred twenty-four thousand four hundred eighty-eight) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 7 × 13 × 19. Its proper divisors sum to 312,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E648.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,048
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
884,421
Recamán's sequence
a(237,188) = 124,488
Square (n²)
15,497,262,144
Cube (n³)
1,929,223,169,782,272
Divisor count
96
σ(n) — sum of divisors
436,800
φ(n) — Euler's totient
31,104
Sum of prime factors
51

Primality

Prime factorization: 2 3 × 3 2 × 7 × 13 × 19

Nearest primes: 124,477 (−11) · 124,489 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 13 · 14 · 18 · 19 · 21 · 24 · 26 · 28 · 36 · 38 · 39 · 42 · 52 · 56 · 57 · 63 · 72 · 76 · 78 · 84 · 91 · 104 · 114 · 117 · 126 · 133 · 152 · 156 · 168 · 171 · 182 · 228 · 234 · 247 · 252 · 266 · 273 · 312 · 342 · 364 · 399 · 456 · 468 · 494 · 504 · 532 · 546 · 684 · 728 · 741 · 798 · 819 · 936 · 988 · 1064 · 1092 · 1197 · 1368 · 1482 · 1596 · 1638 · 1729 · 1976 · 2184 · 2223 · 2394 · 2964 · 3192 · 3276 · 3458 · 4446 · 4788 · 5187 · 5928 · 6552 · 6916 · 8892 · 9576 · 10374 · 13832 · 15561 · 17784 · 20748 · 31122 · 41496 · 62244 (half) · 124488
Aliquot sum (sum of proper divisors): 312,312
Factor pairs (a × b = 124,488)
1 × 124488
2 × 62244
3 × 41496
4 × 31122
6 × 20748
7 × 17784
8 × 15561
9 × 13832
12 × 10374
13 × 9576
14 × 8892
18 × 6916
19 × 6552
21 × 5928
24 × 5187
26 × 4788
28 × 4446
36 × 3458
38 × 3276
39 × 3192
42 × 2964
52 × 2394
56 × 2223
57 × 2184
63 × 1976
72 × 1729
76 × 1638
78 × 1596
84 × 1482
91 × 1368
104 × 1197
114 × 1092
117 × 1064
126 × 988
133 × 936
152 × 819
156 × 798
168 × 741
171 × 728
182 × 684
228 × 546
234 × 532
247 × 504
252 × 494
266 × 468
273 × 456
312 × 399
342 × 364
First multiples
124,488 · 248,976 (double) · 373,464 · 497,952 · 622,440 · 746,928 · 871,416 · 995,904 · 1,120,392 · 1,244,880

Sums & aliquot sequence

As a sum of two cubes: 34³ + 44³
As consecutive integers: 41,495 + 41,496 + 41,497 17,781 + 17,782 + … + 17,787 13,828 + 13,829 + … + 13,836 9,570 + 9,571 + … + 9,582
Aliquot sequence: 124,488 312,312 741,768 1,174,392 2,088,408 4,086,312 6,129,528 9,322,632 18,757,368 39,302,712 69,872,088 135,356,712 206,204,088 324,245,832 486,368,808 732,000,792 1,118,568,408 — unresolved within range

Continued fraction of √n

√124,488 = [352; (1, 4, 1, 4, 1, 704)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-four thousand four hundred eighty-eight
Ordinal
124488th
Binary
11110011001001000
Octal
363110
Hexadecimal
0x1E648
Base64
AeZI
One's complement
4,294,842,807 (32-bit)
Scientific notation
1.24488 × 10⁵
As a duration
124,488 s = 1 day, 10 hours, 34 minutes, 48 seconds
In other bases
ternary (3) 20022202200
quaternary (4) 132121020
quinary (5) 12440423
senary (6) 2400200
septenary (7) 1025640
nonary (9) 208680
undecimal (11) 85591
duodecimal (12) 60060
tridecimal (13) 44880
tetradecimal (14) 33520
pentadecimal (15) 26d43

As an angle

124,488° = 345 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκδυπηʹ
Mayan (base 20)
𝋯·𝋫·𝋤·𝋨
Chinese
一十二萬四千四百八十八
Chinese (financial)
壹拾貳萬肆仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ١٢٤٤٨٨ Devanagari १२४४८८ Bengali ১২৪৪৮৮ Tamil ௧௨௪௪௮௮ Thai ๑๒๔๔๘๘ Tibetan ༡༢༤༤༨༨ Khmer ១២៤៤៨៨ Lao ໑໒໔໔໘໘ Burmese ၁၂၄၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 124488, here are decompositions:

  • 11 + 124477 = 124488
  • 17 + 124471 = 124488
  • 29 + 124459 = 124488
  • 41 + 124447 = 124488
  • 59 + 124429 = 124488
  • 61 + 124427 = 124488
  • 137 + 124351 = 124488
  • 139 + 124349 = 124488

Showing the first eight; more decompositions exist.

Hex color
#01E648
RGB(1, 230, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.230.72.

Address
0.1.230.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.230.72

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 124,488 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 124488 first appears in π at position 692,606 of the decimal expansion (the 692,606ordinal-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°.