5,430,816

2⁵ × 3² × 109 × 173

Starting at 5,430,816, the Collatz iteration reaches 1 after 157 steps. The first transition is 2715408; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 109 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 15,675,660

Proper Divisor Sum 10,244,844

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5430811 ← → #5430833

Radix Representation

Decimal	5430816
Binary	10100101101111000100000 (23 bits)
Octal	0o24557040
Hexadecimal	0x52DE20

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 173 218 288 327 346 436 519 654 692 872 981 1,038 1,308 1,384 1,557 1,744 1,962 2,076 2,616 2,768 3,114 3,488 3,924 4,152 5,232 5,536 6,228 7,848 8,304 10,464 12,456 15,696 16,608 18,857 24,912 31,392 37,714 49,824 56,571 75,428 113,142 150,856

Collatz Trajectory (157 steps to reach 1)

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

5,430,816 2,715,408 1,357,704 678,852 339,426 169,713 509,140 254,570 127,285 381,856 190,928 95,464 47,732 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161

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