λ
Sequence Observatory

1,455,999

3 × 17 × 28549
Deficient Odd Composite

Starting at 1,455,999, the Collatz iteration reaches 1 after 168 steps. The first transition is 4367998; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 28549
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,055,600
Proper Divisor Sum 599,601
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1455991 ← → #1456001

Radix Representation

Decimal 1455999
Binary 101100011011101111111 (21 bits)
Octal 0o5433577
Hexadecimal 0x16377F

Divisor Catalog (8)

1 3 17 51 28,549 85,647 485,333 1,455,999

Collatz Trajectory (168 steps to reach 1)

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

1,455,999 4,367,998 2,183,999 6,551,998 3,275,999 9,827,998 4,913,999 14,741,998 7,370,999 22,112,998 11,056,499 33,169,498 16,584,749 49,754,248 24,877,124 12,438,562 6,219,281 18,657,844 9,328,922 4,664,461 13,993,384 6,996,692 3,498,346 1,749,173 5,247,520 2,623,760 1,311,880 655,940 327,970 163,985 491,956 245,978 122,989 368,968 184,484 92,242 46,121 138,364 69,182 34,591 103,774 51,887 155,662 77,831 233,494 116,747 350,242 175,121 525,364 262,682 131,341 394,024 197,012 98,506 49,253 147,760 73,880 36,940 18,470 9,235

More profiles

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