λ
Sequence Observatory

1,332,615

3 × 5 × 73 × 1217
Deficient Odd Composite

Starting at 1,332,615, the Collatz iteration reaches 1 after 155 steps. The first transition is 3997846; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 73 × 1217
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,163,168
Proper Divisor Sum 830,553
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1332589 ← → #1332631

Radix Representation

Decimal 1332615
Binary 101000101010110000111 (21 bits)
Octal 0o5052607
Hexadecimal 0x145587

Divisor Catalog (16)

1 3 5 15 73 219 365 1,095 1,217 3,651 6,085 18,255 88,841 266,523 444,205 1,332,615

Collatz Trajectory (155 steps to reach 1)

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

1,332,615 3,997,846 1,998,923 5,996,770 2,998,385 8,995,156 4,497,578 2,248,789 6,746,368 3,373,184 1,686,592 843,296 421,648 210,824 105,412 52,706 26,353 79,060 39,530 19,765 59,296 29,648 14,824 7,412 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

More profiles

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