8,724,021

3 × 19 × 41 × 3733

Starting at 8,724,021, the Collatz iteration reaches 1 after 168 steps. The first transition is 26172064; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 41 × 3733

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,546,240

Proper Divisor Sum 3,822,219

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8724013 ← → #8724071

Radix Representation

Decimal	8724021
Binary	100001010001111000110101 (24 bits)
Octal	0o41217065
Hexadecimal	0x851E35

Divisor Catalog (16)

1 3 19 41 57 123 779 2,337 3,733 11,199 70,927 153,053 212,781 459,159 2,908,007 8,724,021

Collatz Trajectory (168 steps to reach 1)

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

8,724,021 26,172,064 13,086,032 6,543,016 3,271,508 1,635,754 817,877 2,453,632 1,226,816 613,408 306,704 153,352 76,676 38,338 19,169 57,508 28,754 14,377 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227

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