λ
Sequence Observatory

8,531,354

2 × 13 × 328129
Deficient Even Composite

Starting at 8,531,354, the Collatz iteration reaches 1 after 62 steps. The first transition is 4265677; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 328129
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,781,460
Proper Divisor Sum 5,250,106
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8531339 ← → #8531359

Radix Representation

Decimal 8531354
Binary 100000100010110110011010 (24 bits)
Octal 0o40426632
Hexadecimal 0x822D9A

Divisor Catalog (8)

1 2 13 26 328,129 656,258 4,265,677 8,531,354

Collatz Trajectory (62 steps to reach 1)

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

8,531,354 4,265,677 12,797,032 6,398,516 3,199,258 1,599,629 4,798,888 2,399,444 1,199,722 599,861 1,799,584 899,792 449,896 224,948 112,474 56,237 168,712 84,356 42,178 21,089 63,268 31,634 15,817 47,452 23,726 11,863 35,590 17,795 53,386 26,693 80,080 40,040 20,020 10,010 5,005 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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