4,140,435

3 × 5 × 13 × 17 × 1249

Starting at 4,140,435, the Collatz iteration reaches 1 after 229 steps. The first transition is 12421306; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 17 × 1249

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,560,000

Proper Divisor Sum 3,419,565

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4140421 ← → #4140439

Radix Representation

Decimal	4140435
Binary	1111110010110110010011 (22 bits)
Octal	0o17626623
Hexadecimal	0x3F2D93

Divisor Catalog (32)

1 3 5 13 15 17 39 51 65 85 195 221 255 663 1,105 1,249 3,315 3,747 6,245 16,237 18,735 21,233 48,711 63,699 81,185 106,165 243,555 276,029 318,495 828,087 1,380,145 4,140,435

Collatz Trajectory (229 steps to reach 1)

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

4,140,435 12,421,306 6,210,653 18,631,960 9,315,980 4,657,990 2,328,995 6,986,986 3,493,493 10,480,480 5,240,240 2,620,120 1,310,060 655,030 327,515 982,546 491,273 1,473,820 736,910 368,455 1,105,366 552,683 1,658,050 829,025 2,487,076 1,243,538 621,769 1,865,308 932,654 466,327 1,398,982 699,491 2,098,474 1,049,237 3,147,712 1,573,856 786,928 393,464 196,732 98,366 49,183 147,550 73,775 221,326 110,663 331,990 165,995 497,986 248,993 746,980 373,490 186,745 560,236 280,118 140,059 420,178 210,089 630,268 315,134 157,567

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