λ
Math Directory

3,015,263

41 × 251 × 293
Deficient Odd Composite

3,015,263 factors as 41 × 251 × 293. Its 8 positive divisors give a proper-divisor sum of 96,433, so this integer is deficient. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 41 × 251 × 293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,111,696
Proper Divisor Sum 96,433
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3015247 ← → #3015269

Radix Representation

Decimal 3015263
Binary 1011100000001001011111 (22 bits)
Octal 0o13401137
Hexadecimal 0x2E025F

Divisor Catalog (8)

1 41 251 293 10,291 12,013 73,543 3,015,263

Collatz Trajectory (226 steps to reach 1)

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

3,015,263 9,045,790 4,522,895 13,568,686 6,784,343 20,353,030 10,176,515 30,529,546 15,264,773 45,794,320 22,897,160 11,448,580 5,724,290 2,862,145 8,586,436 4,293,218 2,146,609 6,439,828 3,219,914 1,609,957 4,829,872 2,414,936 1,207,468 603,734 301,867 905,602 452,801 1,358,404 679,202 339,601 1,018,804 509,402 254,701 764,104 382,052 191,026 95,513 286,540 143,270 71,635 214,906 107,453 322,360 161,180 80,590 40,295 120,886 60,443 181,330 90,665 271,996 135,998 67,999 203,998 101,999 305,998 152,999 458,998 229,499 688,498

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