λ
Sigma Notebook

413,470

2 × 5 × 173 × 239
Deficient Even Composite

413,470 is even and not a perfect square. Its factorization is 2 × 5 × 173 × 239 and its 16 divisors sum to 751,680.

Prime Factor Structure

Factorization String 2 × 5 × 173 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 751,680
Proper Divisor Sum 338,210
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #413461 ← → #413477

Radix Representation

Decimal 413470
Binary 1100100111100011110 (19 bits)
Octal 0o1447436
Hexadecimal 0x64F1E

Divisor Catalog (16)

1 2 5 10 173 239 346 478 865 1,195 1,730 2,390 41,347 82,694 206,735 413,470

Collatz Trajectory (161 steps to reach 1)

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

413,470 206,735 620,206 310,103 930,310 465,155 1,395,466 697,733 2,093,200 1,046,600 523,300 261,650 130,825 392,476 196,238 98,119 294,358 147,179 441,538 220,769 662,308 331,154 165,577 496,732 248,366 124,183 372,550 186,275 558,826 279,413 838,240 419,120 209,560 104,780 52,390 26,195 78,586 39,293 117,880 58,940 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623

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