λ
Sequence Observatory

8,248,945

5 × 19 × 31 × 2801
Deficient Odd Composite

Starting at 8,248,945, the Collatz iteration reaches 1 after 155 steps. The first transition is 24746836; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 19 × 31 × 2801
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,759,680
Proper Divisor Sum 2,510,735
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8248921 ← → #8248949

Radix Representation

Decimal 8248945
Binary 11111011101111001110001 (23 bits)
Octal 0o37357161
Hexadecimal 0x7DDE71

Divisor Catalog (16)

1 5 19 31 95 155 589 2,801 2,945 14,005 53,219 86,831 266,095 434,155 1,649,789 8,248,945

Collatz Trajectory (155 steps to reach 1)

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

8,248,945 24,746,836 12,373,418 6,186,709 18,560,128 9,280,064 4,640,032 2,320,016 1,160,008 580,004 290,002 145,001 435,004 217,502 108,751 326,254 163,127 489,382 244,691 734,074 367,037 1,101,112 550,556 275,278 137,639 412,918 206,459 619,378 309,689 929,068 464,534 232,267 696,802 348,401 1,045,204 522,602 261,301 783,904 391,952 195,976 97,988 48,994 24,497 73,492 36,746 18,373 55,120 27,560 13,780 6,890 3,445 10,336 5,168 2,584 1,292 646 323 970 485 1,456

More profiles

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