2,509,767

3² × 13 × 19 × 1129

2,509,767 factors as 3^2 × 13 × 19 × 1129. Its 24 positive divisors give a proper-divisor sum of 1,603,433, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 19 × 1129

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,113,200

Proper Divisor Sum 1,603,433

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2509757 ← → #2509777

Radix Representation

Decimal	2509767
Binary	1001100100101111000111 (22 bits)
Octal	0o11445707
Hexadecimal	0x264BC7

Divisor Catalog (24)

Collatz Trajectory (156 steps to reach 1)

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

2,509,767 7,529,302 3,764,651 11,293,954 5,646,977 16,940,932 8,470,466 4,235,233 12,705,700 6,352,850 3,176,425 9,529,276 4,764,638 2,382,319 7,146,958 3,573,479 10,720,438 5,360,219 16,080,658 8,040,329 24,120,988 12,060,494 6,030,247 18,090,742 9,045,371 27,136,114 13,568,057 40,704,172 20,352,086 10,176,043 30,528,130 15,264,065 45,792,196 22,896,098 11,448,049 34,344,148 17,172,074 8,586,037 25,758,112 12,879,056 6,439,528 3,219,764 1,609,882 804,941 2,414,824 1,207,412 603,706 301,853 905,560 452,780 226,390 113,195 339,586 169,793 509,380 254,690 127,345 382,036 191,018 95,509

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