7,796,608

2⁷ × 17 × 3583

Starting at 7,796,608, the Collatz iteration reaches 1 after 98 steps. The first transition is 3898304; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 17 × 3583

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,450,560

Proper Divisor Sum 8,653,952

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7796599 ← → #7796611

Radix Representation

Decimal	7796608
Binary	11101101111011110000000 (23 bits)
Octal	0o35573600
Hexadecimal	0x76F780

Divisor Catalog (32)

1 2 4 8 16 17 32 34 64 68 128 136 272 544 1,088 2,176 3,583 7,166 14,332 28,664 57,328 60,911 114,656 121,822 229,312 243,644 458,624 487,288 974,576 1,949,152 3,898,304 7,796,608

Collatz Trajectory (98 steps to reach 1)

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

7,796,608 3,898,304 1,949,152 974,576 487,288 243,644 121,822 60,911 182,734 91,367 274,102 137,051 411,154 205,577 616,732 308,366 154,183 462,550 231,275 693,826 346,913 1,040,740 520,370 260,185 780,556 390,278 195,139 585,418 292,709 878,128 439,064 219,532 109,766 54,883 164,650 82,325 246,976 123,488 61,744 30,872 15,436 7,718 3,859 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248

← Previous Integer #7,796,607 Browse Full Index Next Integer #7,796,609 →