7,457,257

7457257

Starting at 7,457,257, the Collatz iteration reaches 1 after 279 steps. The first transition is 22371772; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7457257

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 7,457,258

Proper Divisor Sum 1

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7457243 ← → #7457269

Radix Representation

Decimal	7457257
Binary	11100011100100111101001 (23 bits)
Octal	0o34344751
Hexadecimal	0x71C9E9

Divisor Catalog (2)

1 7,457,257

Collatz Trajectory (279 steps to reach 1)

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

7,457,257 22,371,772 11,185,886 5,592,943 16,778,830 8,389,415 25,168,246 12,584,123 37,752,370 18,876,185 56,628,556 28,314,278 14,157,139 42,471,418 21,235,709 63,707,128 31,853,564 15,926,782 7,963,391 23,890,174 11,945,087 35,835,262 17,917,631 53,752,894 26,876,447 80,629,342 40,314,671 120,944,014 60,472,007 181,416,022 90,708,011 272,124,034 136,062,017 408,186,052 204,093,026 102,046,513 306,139,540 153,069,770 76,534,885 229,604,656 114,802,328 57,401,164 28,700,582 14,350,291 43,050,874 21,525,437 64,576,312 32,288,156 16,144,078 8,072,039 24,216,118 12,108,059 36,324,178 18,162,089 54,486,268 27,243,134 13,621,567 40,864,702 20,432,351 61,297,054

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