λ
Sequence Observatory

531,869

13 × 163 × 251
Deficient Odd Composite

Starting at 531,869, the Collatz iteration reaches 1 after 151 steps. The first transition is 1595608; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 163 × 251
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 578,592
Proper Divisor Sum 46,723
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #531863 ← → #531871

Radix Representation

Decimal 531869
Binary 10000001110110011101 (20 bits)
Octal 0o2016635
Hexadecimal 0x81D9D

Divisor Catalog (8)

1 13 163 251 2,119 3,263 40,913 531,869

Collatz Trajectory (151 steps to reach 1)

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

531,869 1,595,608 797,804 398,902 199,451 598,354 299,177 897,532 448,766 224,383 673,150 336,575 1,009,726 504,863 1,514,590 757,295 2,271,886 1,135,943 3,407,830 1,703,915 5,111,746 2,555,873 7,667,620 3,833,810 1,916,905 5,750,716 2,875,358 1,437,679 4,313,038 2,156,519 6,469,558 3,234,779 9,704,338 4,852,169 14,556,508 7,278,254 3,639,127 10,917,382 5,458,691 16,376,074 8,188,037 24,564,112 12,282,056 6,141,028 3,070,514 1,535,257 4,605,772 2,302,886 1,151,443 3,454,330 1,727,165 5,181,496 2,590,748 1,295,374 647,687 1,943,062 971,531 2,914,594 1,457,297 4,371,892

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