5,301,764

2² × 13 × 101957

5,301,764 factors as 2^2 × 13 × 101957. Its 12 positive divisors give a proper-divisor sum of 4,690,120, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 101957

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,991,884

Proper Divisor Sum 4,690,120

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5301757 ← → #5301781

Radix Representation

Decimal	5301764
Binary	10100001110011000000100 (23 bits)
Octal	0o24163004
Hexadecimal	0x50E604

Divisor Catalog (12)

1 2 4 13 26 52 101,957 203,914 407,828 1,325,441 2,650,882 5,301,764

Collatz Trajectory (157 steps to reach 1)

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

5,301,764 2,650,882 1,325,441 3,976,324 1,988,162 994,081 2,982,244 1,491,122 745,561 2,236,684 1,118,342 559,171 1,677,514 838,757 2,516,272 1,258,136 629,068 314,534 157,267 471,802 235,901 707,704 353,852 176,926 88,463 265,390 132,695 398,086 199,043 597,130 298,565 895,696 447,848 223,924 111,962 55,981 167,944 83,972 41,986 20,993 62,980 31,490 15,745 47,236 23,618 11,809 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606

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