λ
Sequence Observatory

2,036,859

3 × 11 × 61723
Deficient Odd Composite

Starting at 2,036,859, the Collatz iteration reaches 1 after 109 steps. The first transition is 6110578; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 61723
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,962,752
Proper Divisor Sum 925,893
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2036833 ← → #2036861

Radix Representation

Decimal 2036859
Binary 111110001010001111011 (21 bits)
Octal 0o7612173
Hexadecimal 0x1F147B

Divisor Catalog (8)

1 3 11 33 61,723 185,169 678,953 2,036,859

Collatz Trajectory (109 steps to reach 1)

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

2,036,859 6,110,578 3,055,289 9,165,868 4,582,934 2,291,467 6,874,402 3,437,201 10,311,604 5,155,802 2,577,901 7,733,704 3,866,852 1,933,426 966,713 2,900,140 1,450,070 725,035 2,175,106 1,087,553 3,262,660 1,631,330 815,665 2,446,996 1,223,498 611,749 1,835,248 917,624 458,812 229,406 114,703 344,110 172,055 516,166 258,083 774,250 387,125 1,161,376 580,688 290,344 145,172 72,586 36,293 108,880 54,440 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158

More profiles

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