λ
Sequence Observatory

1,395,855

32 × 5 × 31019
Deficient Odd Composite

Starting at 1,395,855, the Collatz iteration reaches 1 after 137 steps. The first transition is 4187566; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 31019
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,419,560
Proper Divisor Sum 1,023,705
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1395839 ← → #1395859

Radix Representation

Decimal 1395855
Binary 101010100110010001111 (21 bits)
Octal 0o5246217
Hexadecimal 0x154C8F

Divisor Catalog (12)

1 3 5 9 15 45 31,019 93,057 155,095 279,171 465,285 1,395,855

Collatz Trajectory (137 steps to reach 1)

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

1,395,855 4,187,566 2,093,783 6,281,350 3,140,675 9,422,026 4,711,013 14,133,040 7,066,520 3,533,260 1,766,630 883,315 2,649,946 1,324,973 3,974,920 1,987,460 993,730 496,865 1,490,596 745,298 372,649 1,117,948 558,974 279,487 838,462 419,231 1,257,694 628,847 1,886,542 943,271 2,829,814 1,414,907 4,244,722 2,122,361 6,367,084 3,183,542 1,591,771 4,775,314 2,387,657 7,162,972 3,581,486 1,790,743 5,372,230 2,686,115 8,058,346 4,029,173 12,087,520 6,043,760 3,021,880 1,510,940 755,470 377,735 1,133,206 566,603 1,699,810 849,905 2,549,716 1,274,858 637,429 1,912,288

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