7,243,776

2¹¹ × 3³ × 131

Starting at 7,243,776, the Collatz iteration reaches 1 after 41 steps. The first transition is 3621888; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^11 × 3^3 × 131

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,621,600

Proper Divisor Sum 14,377,824

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7243771 ← → #7243777

Radix Representation

Decimal	7243776
Binary	11011101000100000000000 (23 bits)
Octal	0o33504000
Hexadecimal	0x6E8800

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 131 144 192 216 256 262 288 384 393 432 512 524 576 768 786 864 1,024 1,048 1,152 1,179 1,536 1,572 1,728 2,048 2,096 2,304 2,358 3,072 3,144 3,456 3,537 4,192 4,608 4,716 6,144 6,288 6,912 7,074 8,384

Collatz Trajectory (41 steps to reach 1)

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

7,243,776 3,621,888 1,810,944 905,472 452,736 226,368 113,184 56,592 28,296 14,148 7,074 3,537 10,612 5,306 2,653 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

← Previous Integer #7,243,775 Browse Full Index Next Integer #7,243,777 →