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7,697,232

24 × 32 × 53453
Abundant Even Composite

7,697,232 factors as 2^4 × 3^2 × 53453. Its 30 positive divisors give a proper-divisor sum of 13,844,730, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 53453
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 21,541,962
Proper Divisor Sum 13,844,730
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7697231 ← → #7697257

Radix Representation

Decimal 7697232
Binary 11101010111001101010000 (23 bits)
Octal 0o35271520
Hexadecimal 0x757350

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 53,453 106,906 160,359 213,812 320,718 427,624 481,077 641,436 855,248 962,154 1,282,872 1,924,308 2,565,744 3,848,616 7,697,232

Collatz Trajectory (98 steps to reach 1)

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

7,697,232 3,848,616 1,924,308 962,154 481,077 1,443,232 721,616 360,808 180,404 90,202 45,101 135,304 67,652 33,826 16,913 50,740 25,370 12,685 38,056 19,028 9,514 4,757 14,272 7,136 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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