λ
Sequence Observatory

9,621,306

2 × 32 × 41 × 13037
Abundant Even Composite

Starting at 9,621,306, the Collatz iteration reaches 1 after 176 steps. The first transition is 4810653; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 13037
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,356,244
Proper Divisor Sum 11,734,938
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9621263 ← → #9621317

Radix Representation

Decimal 9621306
Binary 100100101100111100111010 (24 bits)
Octal 0o44547472
Hexadecimal 0x92CF3A

Divisor Catalog (24)

1 2 3 6 9 18 41 82 123 246 369 738 13,037 26,074 39,111 78,222 117,333 234,666 534,517 1,069,034 1,603,551 3,207,102 4,810,653 9,621,306

Collatz Trajectory (176 steps to reach 1)

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

9,621,306 4,810,653 14,431,960 7,215,980 3,607,990 1,803,995 5,411,986 2,705,993 8,117,980 4,058,990 2,029,495 6,088,486 3,044,243 9,132,730 4,566,365 13,699,096 6,849,548 3,424,774 1,712,387 5,137,162 2,568,581 7,705,744 3,852,872 1,926,436 963,218 481,609 1,444,828 722,414 361,207 1,083,622 541,811 1,625,434 812,717 2,438,152 1,219,076 609,538 304,769 914,308 457,154 228,577 685,732 342,866 171,433 514,300 257,150 128,575 385,726 192,863 578,590 289,295 867,886 433,943 1,301,830 650,915 1,952,746 976,373 2,929,120 1,464,560 732,280 366,140

More profiles

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