2,509,088

2⁵ × 89 × 881

For 2,509,088, the 24 positive divisors have a total of 5,000,940. Removing 2,509,088 leaves 2,491,852, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^5 × 89 × 881

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,000,940

Proper Divisor Sum 2,491,852

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2509079 ← → #2509103

Radix Representation

Decimal	2509088
Binary	1001100100100100100000 (22 bits)
Octal	0o11444440
Hexadecimal	0x264920

Divisor Catalog (24)

1 2 4 8 16 32 89 178 356 712 881 1,424 1,762 2,848 3,524 7,048 14,096 28,192 78,409 156,818 313,636 627,272 1,254,544 2,509,088

Collatz Trajectory (156 steps to reach 1)

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

2,509,088 1,254,544 627,272 313,636 156,818 78,409 235,228 117,614 58,807 176,422 88,211 264,634 132,317 396,952 198,476 99,238 49,619 148,858 74,429 223,288 111,644 55,822 27,911 83,734 41,867 125,602 62,801 188,404 94,202 47,101 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494

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