165,148

2² × 19 × 41 × 53

165,148 has the prime decomposition 2^2 × 19 × 41 × 53. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 41 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 317,520

Proper Divisor Sum 152,372

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #165133 ← → #165161

Radix Representation

Decimal	165148
Binary	101000010100011100 (18 bits)
Octal	0o502434
Hexadecimal	0x2851C

Divisor Catalog (24)

1 2 4 19 38 41 53 76 82 106 164 212 779 1,007 1,558 2,014 2,173 3,116 4,028 4,346 8,692 41,287 82,574 165,148

Collatz Trajectory (165 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

165,148 82,574 41,287 123,862 61,931 185,794 92,897 278,692 139,346 69,673 209,020 104,510 52,255 156,766 78,383 235,150 117,575 352,726 176,363 529,090 264,545 793,636 396,818 198,409 595,228 297,614 148,807 446,422 223,211 669,634 334,817 1,004,452 502,226 251,113 753,340 376,670 188,335 565,006 282,503 847,510 423,755 1,271,266 635,633 1,906,900 953,450 476,725 1,430,176 715,088 357,544 178,772 89,386 44,693 134,080 67,040 33,520 16,760 8,380 4,190 2,095 6,286

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