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Atlas › Integer Profiles › Node 78,932,176

78,932,176

24 × 43 × 47 × 2441
Abundant Even Composite

78,932,176 factors as 2^4 × 43 × 47 × 2441. Its 40 positive divisors give a proper-divisor sum of 80,950,448, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^4 × 43 × 47 × 2441
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 159,882,624
Proper Divisor Sum 80,950,448
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #78932143 ← → #78932179

Radix Representation

Decimal 78932176
Binary 100101101000110100011010000 (27 bits)
Octal 0o455064320
Hexadecimal 0x4B468D0

Divisor Catalog (40)

1 2 4 8 16 43 47 86 94 172 188 344 376 688 752 2,021 2,441 4,042 4,882 8,084 9,764 16,168 19,528 32,336 39,056 104,963 114,727 209,926 229,454 419,852 458,908 839,704 917,816 1,679,408 1,835,632 4,933,261 9,866,522 19,733,044 39,466,088 78,932,176

Collatz Trajectory (91 steps to reach 1)

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

78,932,176 39,466,088 19,733,044 9,866,522 4,933,261 14,799,784 7,399,892 3,699,946 1,849,973 5,549,920 2,774,960 1,387,480 693,740 346,870 173,435 520,306 260,153 780,460 390,230 195,115 585,346 292,673 878,020 439,010 219,505 658,516 329,258 164,629 493,888 246,944 123,472 61,736 30,868 15,434 7,717 23,152 11,576 5,788 2,894 1,447 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 4,124 2,062 1,031 3,094 1,547 4,642 2,321

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