λ
Sequence Observatory

1,508,665

5 × 17 × 17749
Deficient Odd Composite

Starting at 1,508,665, the Collatz iteration reaches 1 after 181 steps. The first transition is 4525996; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 17 × 17749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,917,000
Proper Divisor Sum 408,335
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1508659 ← → #1508671

Radix Representation

Decimal 1508665
Binary 101110000010100111001 (21 bits)
Octal 0o5602471
Hexadecimal 0x170539

Divisor Catalog (8)

1 5 17 85 17,749 88,745 301,733 1,508,665

Collatz Trajectory (181 steps to reach 1)

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

1,508,665 4,525,996 2,262,998 1,131,499 3,394,498 1,697,249 5,091,748 2,545,874 1,272,937 3,818,812 1,909,406 954,703 2,864,110 1,432,055 4,296,166 2,148,083 6,444,250 3,222,125 9,666,376 4,833,188 2,416,594 1,208,297 3,624,892 1,812,446 906,223 2,718,670 1,359,335 4,078,006 2,039,003 6,117,010 3,058,505 9,175,516 4,587,758 2,293,879 6,881,638 3,440,819 10,322,458 5,161,229 15,483,688 7,741,844 3,870,922 1,935,461 5,806,384 2,903,192 1,451,596 725,798 362,899 1,088,698 544,349 1,633,048 816,524 408,262 204,131 612,394 306,197 918,592 459,296 229,648 114,824 57,412

More profiles

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