1,610,721

3² × 7 × 37 × 691

Starting at 1,610,721, the Collatz iteration reaches 1 after 150 steps. The first transition is 4832164; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 37 × 691

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,734,784

Proper Divisor Sum 1,124,063

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1610701 ← → #1610753

Radix Representation

Decimal	1610721
Binary	110001001001111100001 (21 bits)
Octal	0o6111741
Hexadecimal	0x1893E1

Divisor Catalog (24)

1 3 7 9 21 37 63 111 259 333 691 777 2,073 2,331 4,837 6,219 14,511 25,567 43,533 76,701 178,969 230,103 536,907 1,610,721

Collatz Trajectory (150 steps to reach 1)

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

1,610,721 4,832,164 2,416,082 1,208,041 3,624,124 1,812,062 906,031 2,718,094 1,359,047 4,077,142 2,038,571 6,115,714 3,057,857 9,173,572 4,586,786 2,293,393 6,880,180 3,440,090 1,720,045 5,160,136 2,580,068 1,290,034 645,017 1,935,052 967,526 483,763 1,451,290 725,645 2,176,936 1,088,468 544,234 272,117 816,352 408,176 204,088 102,044 51,022 25,511 76,534 38,267 114,802 57,401 172,204 86,102 43,051 129,154 64,577 193,732 96,866 48,433 145,300 72,650 36,325 108,976 54,488 27,244 13,622 6,811 20,434 10,217

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