7,699,632

2⁴ × 3 × 160409

7,699,632 factors as 2^4 × 3 × 160409. Its 20 positive divisors give a proper-divisor sum of 12,191,208, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 160409

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 19,890,840

Proper Divisor Sum 12,191,208

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7699609 ← → #7699633

Radix Representation

Decimal	7699632
Binary	11101010111110010110000 (23 bits)
Octal	0o35276260
Hexadecimal	0x757CB0

Divisor Catalog (20)

Collatz Trajectory (72 steps to reach 1)

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

7,699,632 3,849,816 1,924,908 962,454 481,227 1,443,682 721,841 2,165,524 1,082,762 541,381 1,624,144 812,072 406,036 203,018 101,509 304,528 152,264 76,132 38,066 19,033 57,100 28,550 14,275 42,826 21,413 64,240 32,120 16,060 8,030 4,015 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227

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