10,082,550

2 × 3 × 5² × 67217

10,082,550 factors as 2 × 3 × 5^2 × 67217. Its 24 positive divisors give a proper-divisor sum of 14,922,546, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 67217

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 25,005,096

Proper Divisor Sum 14,922,546

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #10082549 ← → #10082551

Radix Representation

Decimal	10082550
Binary	100110011101100011110110 (24 bits)
Octal	0o46354366
Hexadecimal	0x99D8F6

Divisor Catalog (24)

Collatz Trajectory (145 steps to reach 1)

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

10,082,550 5,041,275 15,123,826 7,561,913 22,685,740 11,342,870 5,671,435 17,014,306 8,507,153 25,521,460 12,760,730 6,380,365 19,141,096 9,570,548 4,785,274 2,392,637 7,177,912 3,588,956 1,794,478 897,239 2,691,718 1,345,859 4,037,578 2,018,789 6,056,368 3,028,184 1,514,092 757,046 378,523 1,135,570 567,785 1,703,356 851,678 425,839 1,277,518 638,759 1,916,278 958,139 2,874,418 1,437,209 4,311,628 2,155,814 1,077,907 3,233,722 1,616,861 4,850,584 2,425,292 1,212,646 606,323 1,818,970 909,485 2,728,456 1,364,228 682,114 341,057 1,023,172 511,586 255,793 767,380 383,690

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