7,353,217

73 × 263 × 383

Starting at 7,353,217, the Collatz iteration reaches 1 after 116 steps. The first transition is 22059652; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 73 × 263 × 383

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,501,824

Proper Divisor Sum 148,607

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7353193 ← → #7353221

Radix Representation

Decimal	7353217
Binary	11100000011001110000001 (23 bits)
Octal	0o34031601
Hexadecimal	0x703381

Divisor Catalog (8)

1 73 263 383 19,199 27,959 100,729 7,353,217

Collatz Trajectory (116 steps to reach 1)

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

7,353,217 22,059,652 11,029,826 5,514,913 16,544,740 8,272,370 4,136,185 12,408,556 6,204,278 3,102,139 9,306,418 4,653,209 13,959,628 6,979,814 3,489,907 10,469,722 5,234,861 15,704,584 7,852,292 3,926,146 1,963,073 5,889,220 2,944,610 1,472,305 4,416,916 2,208,458 1,104,229 3,312,688 1,656,344 828,172 414,086 207,043 621,130 310,565 931,696 465,848 232,924 116,462 58,231 174,694 87,347 262,042 131,021 393,064 196,532 98,266 49,133 147,400 73,700 36,850 18,425 55,276 27,638 13,819 41,458 20,729 62,188 31,094 15,547 46,642

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