λ
Ratio Atlas

30,827,252

22 × 827 × 9319
Deficient Even Composite

30,827,252 factors as 2^2 × 827 × 9319. Its 12 positive divisors give a proper-divisor sum of 23,191,468, so this integer is deficient. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^2 × 827 × 9319
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 54,018,720
Proper Divisor Sum 23,191,468
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #30827249 ← → #30827257

Radix Representation

Decimal 30827252
Binary 1110101100110001011110100 (25 bits)
Octal 0o165461364
Hexadecimal 0x1D662F4

Divisor Catalog (12)

Collatz Trajectory (263 steps to reach 1)

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

30,827,252 15,413,626 7,706,813 23,120,440 11,560,220 5,780,110 2,890,055 8,670,166 4,335,083 13,005,250 6,502,625 19,507,876 9,753,938 4,876,969 14,630,908 7,315,454 3,657,727 10,973,182 5,486,591 16,459,774 8,229,887 24,689,662 12,344,831 37,034,494 18,517,247 55,551,742 27,775,871 83,327,614 41,663,807 124,991,422 62,495,711 187,487,134 93,743,567 281,230,702 140,615,351 421,846,054 210,923,027 632,769,082 316,384,541 949,153,624 474,576,812 237,288,406 118,644,203 355,932,610 177,966,305 533,898,916 266,949,458 133,474,729 400,424,188 200,212,094 100,106,047 300,318,142 150,159,071 450,477,214 225,238,607 675,715,822 337,857,911 1,013,573,734 506,786,867 1,520,360,602

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