λ
Sequence Observatory

1,647,674

2 × 72 × 17 × 23 × 43
Deficient Even Composite

Starting at 1,647,674, the Collatz iteration reaches 1 after 238 steps. The first transition is 823837; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 17 × 23 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,250,368
Proper Divisor Sum 1,602,694
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1647673 ← → #1647677

Radix Representation

Decimal 1647674
Binary 110010010010000111010 (21 bits)
Octal 0o6222072
Hexadecimal 0x19243A

Divisor Catalog (48)

1 2 7 14 17 23 34 43 46 49 86 98 119 161 238 301 322 391 602 731 782 833 989 1,127 1,462 1,666 1,978 2,107 2,254 2,737 4,214 5,117 5,474 6,923 10,234 13,846 16,813 19,159 33,626 35,819 38,318 48,461 71,638 96,922 117,691 235,382 823,837 1,647,674

Collatz Trajectory (238 steps to reach 1)

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

1,647,674 823,837 2,471,512 1,235,756 617,878 308,939 926,818 463,409 1,390,228 695,114 347,557 1,042,672 521,336 260,668 130,334 65,167 195,502 97,751 293,254 146,627 439,882 219,941 659,824 329,912 164,956 82,478 41,239 123,718 61,859 185,578 92,789 278,368 139,184 69,592 34,796 17,398 8,699 26,098 13,049 39,148 19,574 9,787 29,362 14,681 44,044 22,022 11,011 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456

More profiles

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