λ
Sequence Observatory

8,747,349

3 × 13 × 224291
Deficient Odd Composite

Starting at 8,747,349, the Collatz iteration reaches 1 after 243 steps. The first transition is 26242048; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 224291
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,560,352
Proper Divisor Sum 3,813,003
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8747329 ← → #8747381

Radix Representation

Decimal 8747349
Binary 100001010111100101010101 (24 bits)
Octal 0o41274525
Hexadecimal 0x857955

Divisor Catalog (8)

1 3 13 39 224,291 672,873 2,915,783 8,747,349

Collatz Trajectory (243 steps to reach 1)

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

8,747,349 26,242,048 13,121,024 6,560,512 3,280,256 1,640,128 820,064 410,032 205,016 102,508 51,254 25,627 76,882 38,441 115,324 57,662 28,831 86,494 43,247 129,742 64,871 194,614 97,307 291,922 145,961 437,884 218,942 109,471 328,414 164,207 492,622 246,311 738,934 369,467 1,108,402 554,201 1,662,604 831,302 415,651 1,246,954 623,477 1,870,432 935,216 467,608 233,804 116,902 58,451 175,354 87,677 263,032 131,516 65,758 32,879 98,638 49,319 147,958 73,979 221,938 110,969 332,908

More profiles

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