492,440

2³ × 5 × 13 × 947

492,440 has digital root 5. The neighboring primes are 492431 and 492463; its proper-divisor sum differs from the starting integer by 209,600.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 947

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,194,480

Proper Divisor Sum 702,040

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #492431 ← → #492463

Radix Representation

Decimal	492440
Binary	1111000001110011000 (19 bits)
Octal	0o1701630
Hexadecimal	0x78398

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 947 1,894 3,788 4,735 7,576 9,470 12,311 18,940 24,622 37,880 49,244 61,555 98,488 123,110 246,220 492,440

Collatz Trajectory (151 steps to reach 1)

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

492,440 246,220 123,110 61,555 184,666 92,333 277,000 138,500 69,250 34,625 103,876 51,938 25,969 77,908 38,954 19,477 58,432 29,216 14,608 7,304 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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