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Atlas › Integer Profiles › Node 71,704,384

71,704,384

26 × 479 × 2339
Deficient Even Composite

71,704,384 factors as 2^6 × 479 × 2339. Its 28 positive divisors give a proper-divisor sum of 70,942,016, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^6 × 479 × 2339
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 142,646,400
Proper Divisor Sum 70,942,016
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #71704343 ← → #71704387

Radix Representation

Decimal 71704384
Binary 100010001100001111101000000 (27 bits)
Octal 0o421417500
Hexadecimal 0x4461F40

Divisor Catalog (28)

1 2 4 8 16 32 64 479 958 1,916 2,339 3,832 4,678 7,664 9,356 15,328 18,712 30,656 37,424 74,848 149,696 1,120,381 2,240,762 4,481,524 8,963,048 17,926,096 35,852,192 71,704,384

Collatz Trajectory (122 steps to reach 1)

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

71,704,384 35,852,192 17,926,096 8,963,048 4,481,524 2,240,762 1,120,381 3,361,144 1,680,572 840,286 420,143 1,260,430 630,215 1,890,646 945,323 2,835,970 1,417,985 4,253,956 2,126,978 1,063,489 3,190,468 1,595,234 797,617 2,392,852 1,196,426 598,213 1,794,640 897,320 448,660 224,330 112,165 336,496 168,248 84,124 42,062 21,031 63,094 31,547 94,642 47,321 141,964 70,982 35,491 106,474 53,237 159,712 79,856 39,928 19,964 9,982 4,991 14,974 7,487 22,462 11,231 33,694 16,847 50,542 25,271 75,814

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