λ
Sequence Observatory

9,707,147

107 × 257 × 353
Deficient Odd Composite

Starting at 9,707,147, the Collatz iteration reaches 1 after 207 steps. The first transition is 29121442; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 107 × 257 × 353
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,863,856
Proper Divisor Sum 156,709
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9707143 ← → #9707149

Radix Representation

Decimal 9707147
Binary 100101000001111010001011 (24 bits)
Octal 0o45017213
Hexadecimal 0x941E8B

Divisor Catalog (8)

1 107 257 353 27,499 37,771 90,721 9,707,147

Collatz Trajectory (207 steps to reach 1)

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

9,707,147 29,121,442 14,560,721 43,682,164 21,841,082 10,920,541 32,761,624 16,380,812 8,190,406 4,095,203 12,285,610 6,142,805 18,428,416 9,214,208 4,607,104 2,303,552 1,151,776 575,888 287,944 143,972 71,986 35,993 107,980 53,990 26,995 80,986 40,493 121,480 60,740 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711

More profiles

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