λ
Sequence Observatory

6,324,861

3 × 53 × 39779
Deficient Odd Composite

Starting at 6,324,861, the Collatz iteration reaches 1 after 165 steps. The first transition is 18974584; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 53 × 39779
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,592,480
Proper Divisor Sum 2,267,619
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6324847 ← → #6324881

Radix Representation

Decimal 6324861
Binary 11000001000001001111101 (23 bits)
Octal 0o30101175
Hexadecimal 0x60827D

Divisor Catalog (8)

1 3 53 159 39,779 119,337 2,108,287 6,324,861

Collatz Trajectory (165 steps to reach 1)

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

6,324,861 18,974,584 9,487,292 4,743,646 2,371,823 7,115,470 3,557,735 10,673,206 5,336,603 16,009,810 8,004,905 24,014,716 12,007,358 6,003,679 18,011,038 9,005,519 27,016,558 13,508,279 40,524,838 20,262,419 60,787,258 30,393,629 91,180,888 45,590,444 22,795,222 11,397,611 34,192,834 17,096,417 51,289,252 25,644,626 12,822,313 38,466,940 19,233,470 9,616,735 28,850,206 14,425,103 43,275,310 21,637,655 64,912,966 32,456,483 97,369,450 48,684,725 146,054,176 73,027,088 36,513,544 18,256,772 9,128,386 4,564,193 13,692,580 6,846,290 3,423,145 10,269,436 5,134,718 2,567,359 7,702,078 3,851,039 11,553,118 5,776,559 17,329,678 8,664,839

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