8,430,830

2 × 5 × 41 × 20563

Starting at 8,430,830, the Collatz iteration reaches 1 after 155 steps. The first transition is 4215415; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 41 × 20563

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,546,384

Proper Divisor Sum 7,115,554

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8430803 ← → #8430833

Radix Representation

Decimal	8430830
Binary	100000001010010011101110 (24 bits)
Octal	0o40122356
Hexadecimal	0x80A4EE

Divisor Catalog (16)

1 2 5 10 41 82 205 410 20,563 41,126 102,815 205,630 843,083 1,686,166 4,215,415 8,430,830

Collatz Trajectory (155 steps to reach 1)

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

8,430,830 4,215,415 12,646,246 6,323,123 18,969,370 9,484,685 28,454,056 14,227,028 7,113,514 3,556,757 10,670,272 5,335,136 2,667,568 1,333,784 666,892 333,446 166,723 500,170 250,085 750,256 375,128 187,564 93,782 46,891 140,674 70,337 211,012 105,506 52,753 158,260 79,130 39,565 118,696 59,348 29,674 14,837 44,512 22,256 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487

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