495,144

2³ × 3² × 13 × 23²

495,144 factors as 2^3 × 3^2 × 13 × 23^2. Its 72 positive divisors give a proper-divisor sum of 1,014,546, so this integer is abundant. The Collatz stopping time is 32 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 23^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,509,690

Proper Divisor Sum 1,014,546

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #495139 ← → #495149

Radix Representation

Decimal	495144
Binary	1111000111000101000 (19 bits)
Octal	0o1707050
Hexadecimal	0x78E28

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 529 552 598 828 897 936 1,058 1,196 1,587 1,656 1,794 2,116 2,392 2,691 3,174 3,588 4,232 4,761 5,382 6,348 6,877 7,176 9,522 10,764 12,696 13,754 19,044

Collatz Trajectory (32 steps to reach 1)

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

495,144 247,572 123,786 61,893 185,680 92,840 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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