λ
Sequence Observatory

8,712,456

23 × 3 × 363019
Abundant Even Composite

Starting at 8,712,456, the Collatz iteration reaches 1 after 181 steps. The first transition is 4356228; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 363019
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 21,781,200
Proper Divisor Sum 13,068,744
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8712421 ← → #8712491

Radix Representation

Decimal 8712456
Binary 100001001111000100001000 (24 bits)
Octal 0o41170410
Hexadecimal 0x84F108

Divisor Catalog (16)

1 2 3 4 6 8 12 24 363,019 726,038 1,089,057 1,452,076 2,178,114 2,904,152 4,356,228 8,712,456

Collatz Trajectory (181 steps to reach 1)

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

8,712,456 4,356,228 2,178,114 1,089,057 3,267,172 1,633,586 816,793 2,450,380 1,225,190 612,595 1,837,786 918,893 2,756,680 1,378,340 689,170 344,585 1,033,756 516,878 258,439 775,318 387,659 1,162,978 581,489 1,744,468 872,234 436,117 1,308,352 654,176 327,088 163,544 81,772 40,886 20,443 61,330 30,665 91,996 45,998 22,999 68,998 34,499 103,498 51,749 155,248 77,624 38,812 19,406 9,703 29,110 14,555 43,666 21,833 65,500 32,750 16,375 49,126 24,563 73,690 36,845 110,536 55,268

More profiles

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