7,350,462

2 × 3² × 7 × 58337

Starting at 7,350,462, the Collatz iteration reaches 1 after 204 steps. The first transition is 3675231; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 58337

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,201,456

Proper Divisor Sum 10,850,994

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7350449 ← → #7350467

Radix Representation

Decimal	7350462
Binary	11100000010100010111110 (23 bits)
Octal	0o34024276
Hexadecimal	0x7028BE

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 58,337 116,674 175,011 350,022 408,359 525,033 816,718 1,050,066 1,225,077 2,450,154 3,675,231 7,350,462

Collatz Trajectory (204 steps to reach 1)

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

7,350,462 3,675,231 11,025,694 5,512,847 16,538,542 8,269,271 24,807,814 12,403,907 37,211,722 18,605,861 55,817,584 27,908,792 13,954,396 6,977,198 3,488,599 10,465,798 5,232,899 15,698,698 7,849,349 23,548,048 11,774,024 5,887,012 2,943,506 1,471,753 4,415,260 2,207,630 1,103,815 3,311,446 1,655,723 4,967,170 2,483,585 7,450,756 3,725,378 1,862,689 5,588,068 2,794,034 1,397,017 4,191,052 2,095,526 1,047,763 3,143,290 1,571,645 4,714,936 2,357,468 1,178,734 589,367 1,768,102 884,051 2,652,154 1,326,077 3,978,232 1,989,116 994,558 497,279 1,491,838 745,919 2,237,758 1,118,879 3,356,638 1,678,319

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