λ
Sigma Notebook

4,254,705

32 × 5 × 7 × 13 × 1039
Abundant Odd Composite

4,254,705 is odd and not a perfect square. Its factorization is 3^2 × 5 × 7 × 13 × 1039 and its 48 divisors sum to 9,085,440.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 13 × 1039
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,085,440
Proper Divisor Sum 4,830,735
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4254683 ← → #4254707

Radix Representation

Decimal 4254705
Binary 10000001110101111110001 (23 bits)
Octal 0o20165761
Hexadecimal 0x40EBF1

Divisor Catalog (48)

1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1,039 1,365 3,117 4,095 5,195 7,273 9,351 13,507 15,585 21,819 36,365 40,521 46,755 65,457 67,535 94,549 109,095 121,563 202,605 283,647 327,285 472,745 607,815 850,941 1,418,235 4,254,705

Collatz Trajectory (74 steps to reach 1)

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

4,254,705 12,764,116 6,382,058 3,191,029 9,573,088 4,786,544 2,393,272 1,196,636 598,318 299,159 897,478 448,739 1,346,218 673,109 2,019,328 1,009,664 504,832 252,416 126,208 63,104 31,552 15,776 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22

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