2,511,624

2³ × 3 × 104651

2,511,624 factors as 2^3 × 3 × 104651. Its 16 positive divisors give a proper-divisor sum of 3,767,496, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 104651

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,279,120

Proper Divisor Sum 3,767,496

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2511601 ← → #2511637

Radix Representation

Decimal	2511624
Binary	1001100101001100001000 (22 bits)
Octal	0o11451410
Hexadecimal	0x265308

Divisor Catalog (16)

1 2 3 4 6 8 12 24 104,651 209,302 313,953 418,604 627,906 837,208 1,255,812 2,511,624

Collatz Trajectory (112 steps to reach 1)

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

2,511,624 1,255,812 627,906 313,953 941,860 470,930 235,465 706,396 353,198 176,599 529,798 264,899 794,698 397,349 1,192,048 596,024 298,012 149,006 74,503 223,510 111,755 335,266 167,633 502,900 251,450 125,725 377,176 188,588 94,294 47,147 141,442 70,721 212,164 106,082 53,041 159,124 79,562 39,781 119,344 59,672 29,836 14,918 7,459 22,378 11,189 33,568 16,784 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443

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