λ
Sequence Observatory

1,651,286

2 × 7 × 13 × 43 × 211
Deficient Even Composite

Starting at 1,651,286, the Collatz iteration reaches 1 after 83 steps. The first transition is 825643; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 43 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,134,208
Proper Divisor Sum 1,482,922
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1651283 ← → #1651291

Radix Representation

Decimal 1651286
Binary 110010011001001010110 (21 bits)
Octal 0o6231126
Hexadecimal 0x193256

Divisor Catalog (32)

1 2 7 13 14 26 43 86 91 182 211 301 422 559 602 1,118 1,477 2,743 2,954 3,913 5,486 7,826 9,073 18,146 19,201 38,402 63,511 117,949 127,022 235,898 825,643 1,651,286

Collatz Trajectory (83 steps to reach 1)

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

1,651,286 825,643 2,476,930 1,238,465 3,715,396 1,857,698 928,849 2,786,548 1,393,274 696,637 2,089,912 1,044,956 522,478 261,239 783,718 391,859 1,175,578 587,789 1,763,368 881,684 440,842 220,421 661,264 330,632 165,316 82,658 41,329 123,988 61,994 30,997 92,992 46,496 23,248 11,624 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49

More profiles

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