3,923,164

2² × 7 × 167 × 839

Starting at 3,923,164, the Collatz iteration reaches 1 after 154 steps. The first transition is 1961582; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 167 × 839

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,902,720

Proper Divisor Sum 3,979,556

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3923159 ← → #3923173

Radix Representation

Decimal	3923164
Binary	1110111101110011011100 (22 bits)
Octal	0o16756334
Hexadecimal	0x3BDCDC

Divisor Catalog (24)

1 2 4 7 14 28 167 334 668 839 1,169 1,678 2,338 3,356 4,676 5,873 11,746 23,492 140,113 280,226 560,452 980,791 1,961,582 3,923,164

Collatz Trajectory (154 steps to reach 1)

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

3,923,164 1,961,582 980,791 2,942,374 1,471,187 4,413,562 2,206,781 6,620,344 3,310,172 1,655,086 827,543 2,482,630 1,241,315 3,723,946 1,861,973 5,585,920 2,792,960 1,396,480 698,240 349,120 174,560 87,280 43,640 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151

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