λ
Sequence Observatory

8,905,351

7 × 13 × 97861
Deficient Odd Composite

Starting at 8,905,351, the Collatz iteration reaches 1 after 287 steps. The first transition is 26716054; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 97861
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,960,544
Proper Divisor Sum 2,055,193
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8905327 ← → #8905361

Radix Representation

Decimal 8905351
Binary 100001111110001010000111 (24 bits)
Octal 0o41761207
Hexadecimal 0x87E287

Divisor Catalog (8)

1 7 13 91 97,861 685,027 1,272,193 8,905,351

Collatz Trajectory (287 steps to reach 1)

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

8,905,351 26,716,054 13,358,027 40,074,082 20,037,041 60,111,124 30,055,562 15,027,781 45,083,344 22,541,672 11,270,836 5,635,418 2,817,709 8,453,128 4,226,564 2,113,282 1,056,641 3,169,924 1,584,962 792,481 2,377,444 1,188,722 594,361 1,783,084 891,542 445,771 1,337,314 668,657 2,005,972 1,002,986 501,493 1,504,480 752,240 376,120 188,060 94,030 47,015 141,046 70,523 211,570 105,785 317,356 158,678 79,339 238,018 119,009 357,028 178,514 89,257 267,772 133,886 66,943 200,830 100,415 301,246 150,623 451,870 225,935 677,806 338,903

More profiles

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