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157,472

157,472 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.).

157,472 (one hundred fifty-seven thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 7 × 19 × 37. Its proper divisors sum to 225,568, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x26720.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,960
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
274,751
Recamán's sequence
a(202,920) = 157,472
Square (n²)
24,797,430,784
Cube (n³)
3,904,901,020,418,048
Divisor count
48
σ(n) — sum of divisors
383,040
φ(n) — Euler's totient
62,208
Sum of prime factors
73

Primality

Prime factorization: 2 5 × 7 × 19 × 37

Nearest primes: 157,457 (−15) · 157,477 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 19 · 28 · 32 · 37 · 38 · 56 · 74 · 76 · 112 · 133 · 148 · 152 · 224 · 259 · 266 · 296 · 304 · 518 · 532 · 592 · 608 · 703 · 1036 · 1064 · 1184 · 1406 · 2072 · 2128 · 2812 · 4144 · 4256 · 4921 · 5624 · 8288 · 9842 · 11248 · 19684 · 22496 · 39368 · 78736 (half) · 157472
Aliquot sum (sum of proper divisors): 225,568
Factor pairs (a × b = 157,472)
1 × 157472
2 × 78736
4 × 39368
7 × 22496
8 × 19684
14 × 11248
16 × 9842
19 × 8288
28 × 5624
32 × 4921
37 × 4256
38 × 4144
56 × 2812
74 × 2128
76 × 2072
112 × 1406
133 × 1184
148 × 1064
152 × 1036
224 × 703
259 × 608
266 × 592
296 × 532
304 × 518
First multiples
157,472 · 314,944 (double) · 472,416 · 629,888 · 787,360 · 944,832 · 1,102,304 · 1,259,776 · 1,417,248 · 1,574,720

Sums & aliquot sequence

As a sum of two cubes: 2³ + 54³
As consecutive integers: 22,493 + 22,494 + … + 22,499 8,279 + 8,280 + … + 8,297 4,238 + 4,239 + … + 4,274 2,429 + 2,430 + … + 2,492
Aliquot sequence: 157,472 225,568 318,752 398,944 574,784 729,760 994,676 786,796 590,104 581,696 599,404 530,340 954,780 1,718,772 2,817,228 3,756,332 3,029,524 — unresolved within range

Continued fraction of √n

√157,472 = [396; (1, 4, 1, 3, 1, 6, 3, 2, 2, 2, 1, 197, 1, 2, 2, 2, 3, 6, 1, 3, 1, 4, 1, 792)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred fifty-seven thousand four hundred seventy-two
Ordinal
157472nd
Binary
100110011100100000
Octal
463440
Hexadecimal
0x26720
Base64
Amcg
One's complement
4,294,809,823 (32-bit)
Scientific notation
1.57472 × 10⁵
As a duration
157,472 s = 1 day, 19 hours, 44 minutes, 32 seconds
In other bases
ternary (3) 22000000022
quaternary (4) 212130200
quinary (5) 20014342
senary (6) 3213012
septenary (7) 1224050
nonary (9) 260008
undecimal (11) a8347
duodecimal (12) 77168
tridecimal (13) 568a3
tetradecimal (14) 41560
pentadecimal (15) 319d2
Palindromic in base 3

As an angle

157,472° = 437 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρνζυοβʹ
Mayan (base 20)
𝋳·𝋭·𝋭·𝋬
Chinese
一十五萬七千四百七十二
Chinese (financial)
壹拾伍萬柒仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٥٧٤٧٢ Devanagari १५७४७२ Bengali ১৫৭৪৭২ Tamil ௧௫௭௪௭௨ Thai ๑๕๗๔๗๒ Tibetan ༡༥༧༤༧༢ Khmer ១៥៧៤៧២ Lao ໑໕໗໔໗໒ Burmese ၁၅၇၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 157472, here are decompositions:

  • 43 + 157429 = 157472
  • 61 + 157411 = 157472
  • 79 + 157393 = 157472
  • 109 + 157363 = 157472
  • 151 + 157321 = 157472
  • 181 + 157291 = 157472
  • 193 + 157279 = 157472
  • 199 + 157273 = 157472

Showing the first eight; more decompositions exist.

Unicode codepoint
𦜠
CJK Unified Ideograph-26720
U+26720
Other letter (Lo)

UTF-8 encoding: F0 A6 9C A0 (4 bytes).

Hex color
#026720
RGB(2, 103, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.103.32.

Address
0.2.103.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.103.32

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 157,472 and was likely granted around 1873.

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

Position in π

The digit sequence 157472 first appears in π at position 327,110 of the decimal expansion (the 327,110ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.