9,457,202

2 × 17 × 349 × 797

Starting at 9,457,202, the Collatz iteration reaches 1 after 238 steps. The first transition is 4728601; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 349 × 797

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,082,200

Proper Divisor Sum 5,624,998

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9457181 ← → #9457241

Radix Representation

Decimal	9457202
Binary	100100000100111000110010 (24 bits)
Octal	0o44047062
Hexadecimal	0x904E32

Divisor Catalog (16)

1 2 17 34 349 698 797 1,594 5,933 11,866 13,549 27,098 278,153 556,306 4,728,601 9,457,202

Collatz Trajectory (238 steps to reach 1)

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

9,457,202 4,728,601 14,185,804 7,092,902 3,546,451 10,639,354 5,319,677 15,959,032 7,979,516 3,989,758 1,994,879 5,984,638 2,992,319 8,976,958 4,488,479 13,465,438 6,732,719 20,198,158 10,099,079 30,297,238 15,148,619 45,445,858 22,722,929 68,168,788 34,084,394 17,042,197 51,126,592 25,563,296 12,781,648 6,390,824 3,195,412 1,597,706 798,853 2,396,560 1,198,280 599,140 299,570 149,785 449,356 224,678 112,339 337,018 168,509 505,528 252,764 126,382 63,191 189,574 94,787 284,362 142,181 426,544 213,272 106,636 53,318 26,659 79,978 39,989 119,968 59,984

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