2,345,472

2⁹ × 3² × 509

Starting at 2,345,472, the Collatz iteration reaches 1 after 161 steps. The first transition is 1172736; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^9 × 3^2 × 509

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 6,782,490

Proper Divisor Sum 4,437,018

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2345461 ← → #2345477

Radix Representation

Decimal	2345472
Binary	1000111100101000000000 (22 bits)
Octal	0o10745000
Hexadecimal	0x23CA00

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 509 512 576 768 1,018 1,152 1,527 1,536 2,036 2,304 3,054 4,072 4,581 4,608 6,108 8,144 9,162 12,216 16,288 18,324 24,432 32,576 36,648 48,864 65,152 73,296 97,728 130,304 146,592 195,456 260,608 293,184 390,912 586,368 781,824 1,172,736 2,345,472

Collatz Trajectory (161 steps to reach 1)

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

2,345,472 1,172,736 586,368 293,184 146,592 73,296 36,648 18,324 9,162 4,581 13,744 6,872 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71

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