λ
Sequence Observatory

6,105,021

3 × 13 × 156539
Deficient Odd Composite

Starting at 6,105,021, the Collatz iteration reaches 1 after 227 steps. The first transition is 18315064; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 156539
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,766,240
Proper Divisor Sum 2,661,219
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #6105013 ← → #6105049

Radix Representation

Decimal 6105021
Binary 10111010010011110111101 (23 bits)
Octal 0o27223675
Hexadecimal 0x5D27BD

Divisor Catalog (8)

1 3 13 39 156,539 469,617 2,035,007 6,105,021

Collatz Trajectory (227 steps to reach 1)

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

6,105,021 18,315,064 9,157,532 4,578,766 2,289,383 6,868,150 3,434,075 10,302,226 5,151,113 15,453,340 7,726,670 3,863,335 11,590,006 5,795,003 17,385,010 8,692,505 26,077,516 13,038,758 6,519,379 19,558,138 9,779,069 29,337,208 14,668,604 7,334,302 3,667,151 11,001,454 5,500,727 16,502,182 8,251,091 24,753,274 12,376,637 37,129,912 18,564,956 9,282,478 4,641,239 13,923,718 6,961,859 20,885,578 10,442,789 31,328,368 15,664,184 7,832,092 3,916,046 1,958,023 5,874,070 2,937,035 8,811,106 4,405,553 13,216,660 6,608,330 3,304,165 9,912,496 4,956,248 2,478,124 1,239,062 619,531 1,858,594 929,297 2,787,892 1,393,946

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