λ
Sequence Observatory

1,365,615

32 × 5 × 30347
Deficient Odd Composite

Starting at 1,365,615, the Collatz iteration reaches 1 after 261 steps. The first transition is 4096846; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 30347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,367,144
Proper Divisor Sum 1,001,529
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1365583 ← → #1365659

Radix Representation

Decimal 1365615
Binary 101001101011001101111 (21 bits)
Octal 0o5153157
Hexadecimal 0x14D66F

Divisor Catalog (12)

1 3 5 9 15 45 30,347 91,041 151,735 273,123 455,205 1,365,615

Collatz Trajectory (261 steps to reach 1)

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

1,365,615 4,096,846 2,048,423 6,145,270 3,072,635 9,217,906 4,608,953 13,826,860 6,913,430 3,456,715 10,370,146 5,185,073 15,555,220 7,777,610 3,888,805 11,666,416 5,833,208 2,916,604 1,458,302 729,151 2,187,454 1,093,727 3,281,182 1,640,591 4,921,774 2,460,887 7,382,662 3,691,331 11,073,994 5,536,997 16,610,992 8,305,496 4,152,748 2,076,374 1,038,187 3,114,562 1,557,281 4,671,844 2,335,922 1,167,961 3,503,884 1,751,942 875,971 2,627,914 1,313,957 3,941,872 1,970,936 985,468 492,734 246,367 739,102 369,551 1,108,654 554,327 1,662,982 831,491 2,494,474 1,247,237 3,741,712 1,870,856

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