2,318,160

2⁴ × 3 × 5 × 13 × 743

Starting at 2,318,160, the Collatz iteration reaches 1 after 47 steps. The first transition is 1159080; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 13 × 743

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 7,749,504

Proper Divisor Sum 5,431,344

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2318159 ← → #2318189

Radix Representation

Decimal	2318160
Binary	1000110101111101010000 (22 bits)
Octal	0o10657520
Hexadecimal	0x235F50

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 743 780 1,040 1,486 1,560 2,229 2,972 3,120 3,715 4,458 5,944 7,430 8,916 9,659 11,145 11,888 14,860 17,832 19,318 22,290 28,977 29,720 35,664 38,636

Collatz Trajectory (47 steps to reach 1)

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

2,318,160 1,159,080 579,540 289,770 144,885 434,656 217,328 108,664 54,332 27,166 13,583 40,750 20,375 61,126 30,563 91,690 45,845 137,536 68,768 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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