53,321,164

2² × 13 × 1025407

53,321,164 factors as 2^2 × 13 × 1025407. Its 12 positive divisors give a proper-divisor sum of 47,168,820, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 1025407

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 100,489,984

Proper Divisor Sum 47,168,820

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #53321141 ← → #53321207

Radix Representation

Decimal	53321164
Binary	11001011011001110111001100 (26 bits)
Octal	0o313316714
Hexadecimal	0x32D9DCC

Divisor Catalog (12)

1 2 4 13 26 52 1,025,407 2,050,814 4,101,628 13,330,291 26,660,582 53,321,164

Collatz Trajectory (119 steps to reach 1)

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

53,321,164 26,660,582 13,330,291 39,990,874 19,995,437 59,986,312 29,993,156 14,996,578 7,498,289 22,494,868 11,247,434 5,623,717 16,871,152 8,435,576 4,217,788 2,108,894 1,054,447 3,163,342 1,581,671 4,745,014 2,372,507 7,117,522 3,558,761 10,676,284 5,338,142 2,669,071 8,007,214 4,003,607 12,010,822 6,005,411 18,016,234 9,008,117 27,024,352 13,512,176 6,756,088 3,378,044 1,689,022 844,511 2,533,534 1,266,767 3,800,302 1,900,151 5,700,454 2,850,227 8,550,682 4,275,341 12,826,024 6,413,012 3,206,506 1,603,253 4,809,760 2,404,880 1,202,440 601,220 300,610 150,305 450,916 225,458 112,729 338,188

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