7,684,528

2⁴ × 31 × 15493

7,684,528 factors as 2^4 × 31 × 15493. Its 20 positive divisors give a proper-divisor sum of 7,685,520, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 15493

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 15,370,048

Proper Divisor Sum 7,685,520

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7684519 ← → #7684529

Radix Representation

Decimal	7684528
Binary	11101010100000110110000 (23 bits)
Octal	0o35240660
Hexadecimal	0x7541B0

Divisor Catalog (20)

Collatz Trajectory (98 steps to reach 1)

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

7,684,528 3,842,264 1,921,132 960,566 480,283 1,440,850 720,425 2,161,276 1,080,638 540,319 1,620,958 810,479 2,431,438 1,215,719 3,647,158 1,823,579 5,470,738 2,735,369 8,206,108 4,103,054 2,051,527 6,154,582 3,077,291 9,231,874 4,615,937 13,847,812 6,923,906 3,461,953 10,385,860 5,192,930 2,596,465 7,789,396 3,894,698 1,947,349 5,842,048 2,921,024 1,460,512 730,256 365,128 182,564 91,282 45,641 136,924 68,462 34,231 102,694 51,347 154,042 77,021 231,064 115,532 57,766 28,883 86,650 43,325 129,976 64,988 32,494 16,247 48,742

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