71,638,762

2 × 13² × 211949

71,638,762 factors as 2 × 13^2 × 211949. Its 12 positive divisors give a proper-divisor sum of 44,721,788, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 211949

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 116,360,550

Proper Divisor Sum 44,721,788

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #71638751 ← → #71638789

Radix Representation

Decimal	71638762
Binary	100010001010001111011101010 (27 bits)
Octal	0o421217352
Hexadecimal	0x4451EEA

Divisor Catalog (12)

1 2 13 26 169 338 211,949 423,898 2,755,337 5,510,674 35,819,381 71,638,762

Collatz Trajectory (166 steps to reach 1)

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

71,638,762 35,819,381 107,458,144 53,729,072 26,864,536 13,432,268 6,716,134 3,358,067 10,074,202 5,037,101 15,111,304 7,555,652 3,777,826 1,888,913 5,666,740 2,833,370 1,416,685 4,250,056 2,125,028 1,062,514 531,257 1,593,772 796,886 398,443 1,195,330 597,665 1,792,996 896,498 448,249 1,344,748 672,374 336,187 1,008,562 504,281 1,512,844 756,422 378,211 1,134,634 567,317 1,701,952 850,976 425,488 212,744 106,372 53,186 26,593 79,780 39,890 19,945 59,836 29,918 14,959 44,878 22,439 67,318 33,659 100,978 50,489 151,468 75,734

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