λ
Sequence Observatory

3,052,315

5 × 7 × 37 × 2357
Deficient Odd Composite

Starting at 3,052,315, the Collatz iteration reaches 1 after 226 steps. The first transition is 9156946; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 37 × 2357
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,300,992
Proper Divisor Sum 1,248,677
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3052297 ← → #3052351

Radix Representation

Decimal 3052315
Binary 1011101001001100011011 (22 bits)
Octal 0o13511433
Hexadecimal 0x2E931B

Divisor Catalog (16)

1 5 7 35 37 185 259 1,295 2,357 11,785 16,499 82,495 87,209 436,045 610,463 3,052,315

Collatz Trajectory (226 steps to reach 1)

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

3,052,315 9,156,946 4,578,473 13,735,420 6,867,710 3,433,855 10,301,566 5,150,783 15,452,350 7,726,175 23,178,526 11,589,263 34,767,790 17,383,895 52,151,686 26,075,843 78,227,530 39,113,765 117,341,296 58,670,648 29,335,324 14,667,662 7,333,831 22,001,494 11,000,747 33,002,242 16,501,121 49,503,364 24,751,682 12,375,841 37,127,524 18,563,762 9,281,881 27,845,644 13,922,822 6,961,411 20,884,234 10,442,117 31,326,352 15,663,176 7,831,588 3,915,794 1,957,897 5,873,692 2,936,846 1,468,423 4,405,270 2,202,635 6,607,906 3,303,953 9,911,860 4,955,930 2,477,965 7,433,896 3,716,948 1,858,474 929,237 2,787,712 1,393,856 696,928

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