4,187,956

2² × 37 × 28297

Starting at 4,187,956, the Collatz iteration reaches 1 after 167 steps. The first transition is 2093978; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 28297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,527,268

Proper Divisor Sum 3,339,312

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4187951 ← → #4187957

Radix Representation

Decimal	4187956
Binary	1111111110011100110100 (22 bits)
Octal	0o17763464
Hexadecimal	0x3FE734

Divisor Catalog (12)

1 2 4 37 74 148 28,297 56,594 113,188 1,046,989 2,093,978 4,187,956

Collatz Trajectory (167 steps to reach 1)

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

4,187,956 2,093,978 1,046,989 3,140,968 1,570,484 785,242 392,621 1,177,864 588,932 294,466 147,233 441,700 220,850 110,425 331,276 165,638 82,819 248,458 124,229 372,688 186,344 93,172 46,586 23,293 69,880 34,940 17,470 8,735 26,206 13,103 39,310 19,655 58,966 29,483 88,450 44,225 132,676 66,338 33,169 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41 124

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