7,541,856

2⁵ × 3³ × 7 × 29 × 43

Starting at 7,541,856, the Collatz iteration reaches 1 after 80 steps. The first transition is 3770928; the starting value is even with 192 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 7 × 29 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 26,611,200

Proper Divisor Sum 19,069,344

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7541851 ← → #7541867

Radix Representation

Decimal	7541856
Binary	11100110001010001100000 (23 bits)
Octal	0o34612140
Hexadecimal	0x731460

Divisor Catalog (60 of 192)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 42 43 48 54 56 58 63 72 84 86 87 96 108 112 116 126 129 144 168 172 174 189 203 216 224 232 252 258 261 288 301 336 344 348 378 387 406 432 464 504 516

Collatz Trajectory (80 steps to reach 1)

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

7,541,856 3,770,928 1,885,464 942,732 471,366 235,683 707,050 353,525 1,060,576 530,288 265,144 132,572 66,286 33,143 99,430 49,715 149,146 74,573 223,720 111,860 55,930 27,965 83,896 41,948 20,974 10,487 31,462 15,731 47,194 23,597 70,792 35,396 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37

← Previous Integer #7,541,855 Browse Full Index Next Integer #7,541,857 →