8,531,664

2⁴ × 3 × 177743

Starting at 8,531,664, the Collatz iteration reaches 1 after 62 steps. The first transition is 4265832; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 177743

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 22,040,256

Proper Divisor Sum 13,508,592

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8531659 ← → #8531683

Radix Representation

Decimal	8531664
Binary	100000100010111011010000 (24 bits)
Octal	0o40427320
Hexadecimal	0x822ED0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 177,743 355,486 533,229 710,972 1,066,458 1,421,944 2,132,916 2,843,888 4,265,832 8,531,664

Collatz Trajectory (62 steps to reach 1)

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

8,531,664 4,265,832 2,132,916 1,066,458 533,229 1,599,688 799,844 399,922 199,961 599,884 299,942 149,971 449,914 224,957 674,872 337,436 168,718 84,359 253,078 126,539 379,618 189,809 569,428 284,714 142,357 427,072 213,536 106,768 53,384 26,692 13,346 6,673 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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