3,947,859

3⁴ × 17 × 47 × 61

Starting at 3,947,859, the Collatz iteration reaches 1 after 123 steps. The first transition is 11843578; the starting value is odd with 40 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 17 × 47 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 6,481,728

Proper Divisor Sum 2,533,869

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3947851 ← → #3947861

Radix Representation

Decimal	3947859
Binary	1111000011110101010011 (22 bits)
Octal	0o17036523
Hexadecimal	0x3C3D53

Divisor Catalog (40)

1 3 9 17 27 47 51 61 81 141 153 183 423 459 549 799 1,037 1,269 1,377 1,647 2,397 2,867 3,111 3,807 4,941 7,191 8,601 9,333 21,573 25,803 27,999 48,739 64,719 77,409 83,997 146,217 232,227 438,651 1,315,953 3,947,859

Collatz Trajectory (123 steps to reach 1)

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

3,947,859 11,843,578 5,921,789 17,765,368 8,882,684 4,441,342 2,220,671 6,662,014 3,331,007 9,993,022 4,996,511 14,989,534 7,494,767 22,484,302 11,242,151 33,726,454 16,863,227 50,589,682 25,294,841 75,884,524 37,942,262 18,971,131 56,913,394 28,456,697 85,370,092 42,685,046 21,342,523 64,027,570 32,013,785 96,041,356 48,020,678 24,010,339 72,031,018 36,015,509 108,046,528 54,023,264 27,011,632 13,505,816 6,752,908 3,376,454 1,688,227 5,064,682 2,532,341 7,597,024 3,798,512 1,899,256 949,628 474,814 237,407 712,222 356,111 1,068,334 534,167 1,602,502 801,251 2,403,754 1,201,877 3,605,632 1,802,816 901,408

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