2,359,441

7 × 31 × 83 × 131

Starting at 2,359,441, the Collatz iteration reaches 1 after 73 steps. The first transition is 7078324; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 31 × 83 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,838,528

Proper Divisor Sum 479,087

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2359429 ← → #2359451

Radix Representation

Decimal	2359441
Binary	1001000000000010010001 (22 bits)
Octal	0o11000221
Hexadecimal	0x240091

Divisor Catalog (16)

1 7 31 83 131 217 581 917 2,573 4,061 10,873 18,011 28,427 76,111 337,063 2,359,441

Collatz Trajectory (73 steps to reach 1)

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

2,359,441 7,078,324 3,539,162 1,769,581 5,308,744 2,654,372 1,327,186 663,593 1,990,780 995,390 497,695 1,493,086 746,543 2,239,630 1,119,815 3,359,446 1,679,723 5,039,170 2,519,585 7,558,756 3,779,378 1,889,689 5,669,068 2,834,534 1,417,267 4,251,802 2,125,901 6,377,704 3,188,852 1,594,426 797,213 2,391,640 1,195,820 597,910 298,955 896,866 448,433 1,345,300 672,650 336,325 1,008,976 504,488 252,244 126,122 63,061 189,184 94,592 47,296 23,648 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416

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