λ
Sequence Observatory

6,265,815

3 × 5 × 417721
Deficient Odd Composite

Starting at 6,265,815, the Collatz iteration reaches 1 after 178 steps. The first transition is 18797446; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 417721
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,025,328
Proper Divisor Sum 3,759,513
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6265811 ← → #6265849

Radix Representation

Decimal 6265815
Binary 10111111001101111010111 (23 bits)
Octal 0o27715727
Hexadecimal 0x5F9BD7

Divisor Catalog (8)

1 3 5 15 417,721 1,253,163 2,088,605 6,265,815

Collatz Trajectory (178 steps to reach 1)

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

6,265,815 18,797,446 9,398,723 28,196,170 14,098,085 42,294,256 21,147,128 10,573,564 5,286,782 2,643,391 7,930,174 3,965,087 11,895,262 5,947,631 17,842,894 8,921,447 26,764,342 13,382,171 40,146,514 20,073,257 60,219,772 30,109,886 15,054,943 45,164,830 22,582,415 67,747,246 33,873,623 101,620,870 50,810,435 152,431,306 76,215,653 228,646,960 114,323,480 57,161,740 28,580,870 14,290,435 42,871,306 21,435,653 64,306,960 32,153,480 16,076,740 8,038,370 4,019,185 12,057,556 6,028,778 3,014,389 9,043,168 4,521,584 2,260,792 1,130,396 565,198 282,599 847,798 423,899 1,271,698 635,849 1,907,548 953,774 476,887 1,430,662

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