λ
Sequence Observatory

6,156,351

33 × 228013
Deficient Odd Composite

Starting at 6,156,351, the Collatz iteration reaches 1 after 333 steps. The first transition is 18469054; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 228013
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,120,560
Proper Divisor Sum 2,964,209
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6156349 ← → #6156373

Radix Representation

Decimal 6156351
Binary 10111011111000000111111 (23 bits)
Octal 0o27370077
Hexadecimal 0x5DF03F

Divisor Catalog (8)

1 3 9 27 228,013 684,039 2,052,117 6,156,351

Collatz Trajectory (333 steps to reach 1)

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

6,156,351 18,469,054 9,234,527 27,703,582 13,851,791 41,555,374 20,777,687 62,333,062 31,166,531 93,499,594 46,749,797 140,249,392 70,124,696 35,062,348 17,531,174 8,765,587 26,296,762 13,148,381 39,445,144 19,722,572 9,861,286 4,930,643 14,791,930 7,395,965 22,187,896 11,093,948 5,546,974 2,773,487 8,320,462 4,160,231 12,480,694 6,240,347 18,721,042 9,360,521 28,081,564 14,040,782 7,020,391 21,061,174 10,530,587 31,591,762 15,795,881 47,387,644 23,693,822 11,846,911 35,540,734 17,770,367 53,311,102 26,655,551 79,966,654 39,983,327 119,949,982 59,974,991 179,924,974 89,962,487 269,887,462 134,943,731 404,831,194 202,415,597 607,246,792 303,623,396

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