7,356,275

5² × 294251

Starting at 7,356,275, the Collatz iteration reaches 1 after 98 steps. The first transition is 22068826; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 294251

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 9,121,812

Proper Divisor Sum 1,765,537

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7356263 ← → #7356277

Radix Representation

Decimal	7356275
Binary	11100000011111101110011 (23 bits)
Octal	0o34037563
Hexadecimal	0x703F73

Divisor Catalog (6)

1 5 25 294,251 1,471,255 7,356,275

Collatz Trajectory (98 steps to reach 1)

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

7,356,275 22,068,826 11,034,413 33,103,240 16,551,620 8,275,810 4,137,905 12,413,716 6,206,858 3,103,429 9,310,288 4,655,144 2,327,572 1,163,786 581,893 1,745,680 872,840 436,420 218,210 109,105 327,316 163,658 81,829 245,488 122,744 61,372 30,686 15,343 46,030 23,015 69,046 34,523 103,570 51,785 155,356 77,678 38,839 116,518 58,259 174,778 87,389 262,168 131,084 65,542 32,771 98,314 49,157 147,472 73,736 36,868 18,434 9,217 27,652 13,826 6,913 20,740 10,370 5,185 15,556 7,778

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