4,218,510

2 × 3 × 5 × 140617

Starting at 4,218,510, the Collatz iteration reaches 1 after 273 steps. The first transition is 2109255; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 140617

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,124,496

Proper Divisor Sum 5,905,986

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4218509 ← → #4218517

Radix Representation

Decimal	4218510
Binary	10000000101111010001110 (23 bits)
Octal	0o20057216
Hexadecimal	0x405E8E

Divisor Catalog (16)

1 2 3 5 6 10 15 30 140,617 281,234 421,851 703,085 843,702 1,406,170 2,109,255 4,218,510

Collatz Trajectory (273 steps to reach 1)

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

4,218,510 2,109,255 6,327,766 3,163,883 9,491,650 4,745,825 14,237,476 7,118,738 3,559,369 10,678,108 5,339,054 2,669,527 8,008,582 4,004,291 12,012,874 6,006,437 18,019,312 9,009,656 4,504,828 2,252,414 1,126,207 3,378,622 1,689,311 5,067,934 2,533,967 7,601,902 3,800,951 11,402,854 5,701,427 17,104,282 8,552,141 25,656,424 12,828,212 6,414,106 3,207,053 9,621,160 4,810,580 2,405,290 1,202,645 3,607,936 1,803,968 901,984 450,992 225,496 112,748 56,374 28,187 84,562 42,281 126,844 63,422 31,711 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541

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