7,350,175

5² × 7 × 97 × 433

Starting at 7,350,175, the Collatz iteration reaches 1 after 173 steps. The first transition is 22050526; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 97 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,547,936

Proper Divisor Sum 3,197,761

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7350173 ← → #7350209

Radix Representation

Decimal	7350175
Binary	11100000010011110011111 (23 bits)
Octal	0o34023637
Hexadecimal	0x70279F

Divisor Catalog (24)

1 5 7 25 35 97 175 433 485 679 2,165 2,425 3,031 3,395 10,825 15,155 16,975 42,001 75,775 210,005 294,007 1,050,025 1,470,035 7,350,175

Collatz Trajectory (173 steps to reach 1)

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

7,350,175 22,050,526 11,025,263 33,075,790 16,537,895 49,613,686 24,806,843 74,420,530 37,210,265 111,630,796 55,815,398 27,907,699 83,723,098 41,861,549 125,584,648 62,792,324 31,396,162 15,698,081 47,094,244 23,547,122 11,773,561 35,320,684 17,660,342 8,830,171 26,490,514 13,245,257 39,735,772 19,867,886 9,933,943 29,801,830 14,900,915 44,702,746 22,351,373 67,054,120 33,527,060 16,763,530 8,381,765 25,145,296 12,572,648 6,286,324 3,143,162 1,571,581 4,714,744 2,357,372 1,178,686 589,343 1,768,030 884,015 2,652,046 1,326,023 3,978,070 1,989,035 5,967,106 2,983,553 8,950,660 4,475,330 2,237,665 6,712,996 3,356,498 1,678,249

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