8,400,624

2⁴ × 3 × 175013

Starting at 8,400,624, the Collatz iteration reaches 1 after 129 steps. The first transition is 4200312; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 175013

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 21,701,736

Proper Divisor Sum 13,301,112

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8400619 ← → #8400629

Radix Representation

Decimal	8400624
Binary	100000000010111011110000 (24 bits)
Octal	0o40027360
Hexadecimal	0x802EF0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 175,013 350,026 525,039 700,052 1,050,078 1,400,104 2,100,156 2,800,208 4,200,312 8,400,624

Collatz Trajectory (129 steps to reach 1)

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

8,400,624 4,200,312 2,100,156 1,050,078 525,039 1,575,118 787,559 2,362,678 1,181,339 3,544,018 1,772,009 5,316,028 2,658,014 1,329,007 3,987,022 1,993,511 5,980,534 2,990,267 8,970,802 4,485,401 13,456,204 6,728,102 3,364,051 10,092,154 5,046,077 15,138,232 7,569,116 3,784,558 1,892,279 5,676,838 2,838,419 8,515,258 4,257,629 12,772,888 6,386,444 3,193,222 1,596,611 4,789,834 2,394,917 7,184,752 3,592,376 1,796,188 898,094 449,047 1,347,142 673,571 2,020,714 1,010,357 3,031,072 1,515,536 757,768 378,884 189,442 94,721 284,164 142,082 71,041 213,124 106,562 53,281

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