3,719,256

2³ × 3 × 31 × 4999

Starting at 3,719,256, the Collatz iteration reaches 1 after 172 steps. The first transition is 1859628; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 4999

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,600,000

Proper Divisor Sum 5,880,744

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3719239 ← → #3719267

Radix Representation

Decimal	3719256
Binary	1110001100000001011000 (22 bits)
Octal	0o16140130
Hexadecimal	0x38C058

Divisor Catalog (32)

1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 4,999 9,998 14,997 19,996 29,994 39,992 59,988 119,976 154,969 309,938 464,907 619,876 929,814 1,239,752 1,859,628 3,719,256

Collatz Trajectory (172 steps to reach 1)

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

3,719,256 1,859,628 929,814 464,907 1,394,722 697,361 2,092,084 1,046,042 523,021 1,569,064 784,532 392,266 196,133 588,400 294,200 147,100 73,550 36,775 110,326 55,163 165,490 82,745 248,236 124,118 62,059 186,178 93,089 279,268 139,634 69,817 209,452 104,726 52,363 157,090 78,545 235,636 117,818 58,909 176,728 88,364 44,182 22,091 66,274 33,137 99,412 49,706 24,853 74,560 37,280 18,640 9,320 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656

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