8,998,821

3² × 13 × 76913

Starting at 8,998,821, the Collatz iteration reaches 1 after 168 steps. The first transition is 26996464; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 76913

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,998,348

Proper Divisor Sum 4,999,527

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8998813 ← → #8998823

Radix Representation

Decimal	8998821
Binary	100010010100111110100101 (24 bits)
Octal	0o42247645
Hexadecimal	0x894FA5

Divisor Catalog (12)

1 3 9 13 39 117 76,913 230,739 692,217 999,869 2,999,607 8,998,821

Collatz Trajectory (168 steps to reach 1)

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

8,998,821 26,996,464 13,498,232 6,749,116 3,374,558 1,687,279 5,061,838 2,530,919 7,592,758 3,796,379 11,389,138 5,694,569 17,083,708 8,541,854 4,270,927 12,812,782 6,406,391 19,219,174 9,609,587 28,828,762 14,414,381 43,243,144 21,621,572 10,810,786 5,405,393 16,216,180 8,108,090 4,054,045 12,162,136 6,081,068 3,040,534 1,520,267 4,560,802 2,280,401 6,841,204 3,420,602 1,710,301 5,130,904 2,565,452 1,282,726 641,363 1,924,090 962,045 2,886,136 1,443,068 721,534 360,767 1,082,302 541,151 1,623,454 811,727 2,435,182 1,217,591 3,652,774 1,826,387 5,479,162 2,739,581 8,218,744 4,109,372 2,054,686

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