3,947,880

2³ × 3 × 5 × 167 × 197

Starting at 3,947,880, the Collatz iteration reaches 1 after 185 steps. The first transition is 1973940; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 167 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 11,975,040

Proper Divisor Sum 8,027,160

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3947861 ← → #3947891

Radix Representation

Decimal	3947880
Binary	1111000011110101101000 (22 bits)
Octal	0o17036550
Hexadecimal	0x3C3D68

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 197 334 394 501 591 668 788 835 985 1,002 1,182 1,336 1,576 1,670 1,970 2,004 2,364 2,505 2,955 3,340 3,940 4,008 4,728 5,010 5,910 6,680 7,880 10,020 11,820 20,040 23,640 32,899 65,798 98,697 131,596 164,495 197,394 263,192 328,990 394,788 493,485 657,980 789,576

Collatz Trajectory (185 steps to reach 1)

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

3,947,880 1,973,940 986,970 493,485 1,480,456 740,228 370,114 185,057 555,172 277,586 138,793 416,380 208,190 104,095 312,286 156,143 468,430 234,215 702,646 351,323 1,053,970 526,985 1,580,956 790,478 395,239 1,185,718 592,859 1,778,578 889,289 2,667,868 1,333,934 666,967 2,000,902 1,000,451 3,001,354 1,500,677 4,502,032 2,251,016 1,125,508 562,754 281,377 844,132 422,066 211,033 633,100 316,550 158,275 474,826 237,413 712,240 356,120 178,060 89,030 44,515 133,546 66,773 200,320 100,160 50,080 25,040

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