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7,931,376

24 × 32 × 55079
Abundant Even Composite

7,931,376 factors as 2^4 × 3^2 × 55079. Its 30 positive divisors give a proper-divisor sum of 14,265,864, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 55079
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 22,197,240
Proper Divisor Sum 14,265,864
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7931369 ← → #7931383

Radix Representation

Decimal 7931376
Binary 11110010000010111110000 (23 bits)
Octal 0o36202760
Hexadecimal 0x7905F0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 55,079 110,158 165,237 220,316 330,474 440,632 495,711 660,948 881,264 991,422 1,321,896 1,982,844 2,643,792 3,965,688 7,931,376

Collatz Trajectory (124 steps to reach 1)

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

7,931,376 3,965,688 1,982,844 991,422 495,711 1,487,134 743,567 2,230,702 1,115,351 3,346,054 1,673,027 5,019,082 2,509,541 7,528,624 3,764,312 1,882,156 941,078 470,539 1,411,618 705,809 2,117,428 1,058,714 529,357 1,588,072 794,036 397,018 198,509 595,528 297,764 148,882 74,441 223,324 111,662 55,831 167,494 83,747 251,242 125,621 376,864 188,432 94,216 47,108 23,554 11,777 35,332 17,666 8,833 26,500 13,250 6,625 19,876 9,938 4,969 14,908 7,454 3,727 11,182 5,591 16,774 8,387

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