λ
Sequence Observatory

1,675,891

7 × 31 × 7723
Deficient Odd Composite

Starting at 1,675,891, the Collatz iteration reaches 1 after 176 steps. The first transition is 5027674; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 31 × 7723
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,977,344
Proper Divisor Sum 301,453
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1675873 ← → #1675931

Radix Representation

Decimal 1675891
Binary 110011001001001110011 (21 bits)
Octal 0o6311163
Hexadecimal 0x199273

Divisor Catalog (8)

1 7 31 217 7,723 54,061 239,413 1,675,891

Collatz Trajectory (176 steps to reach 1)

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

1,675,891 5,027,674 2,513,837 7,541,512 3,770,756 1,885,378 942,689 2,828,068 1,414,034 707,017 2,121,052 1,060,526 530,263 1,590,790 795,395 2,386,186 1,193,093 3,579,280 1,789,640 894,820 447,410 223,705 671,116 335,558 167,779 503,338 251,669 755,008 377,504 188,752 94,376 47,188 23,594 11,797 35,392 17,696 8,848 4,424 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777

More profiles

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