2,641,100

2² × 5² × 7⁴ × 11

2,641,100 factors as 2^2 × 5^2 × 7^4 × 11. Its 90 positive divisors give a proper-divisor sum of 4,652,704, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7^4 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 7,293,804

Proper Divisor Sum 4,652,704

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #2641099 ← → #2641109

Radix Representation

Decimal	2641100
Binary	1010000100110011001100 (22 bits)
Octal	0o12046314
Hexadecimal	0x284CCC

Divisor Catalog (60 of 90)

1 2 4 5 7 10 11 14 20 22 25 28 35 44 49 50 55 70 77 98 100 110 140 154 175 196 220 245 275 308 343 350 385 490 539 550 686 700 770 980 1,078 1,100 1,225 1,372 1,540 1,715 1,925 2,156 2,401 2,450 2,695 3,430 3,773 3,850 4,802 4,900 5,390 6,860 7,546 7,700

Collatz Trajectory (187 steps to reach 1)

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

2,641,100 1,320,550 660,275 1,980,826 990,413 2,971,240 1,485,620 742,810 371,405 1,114,216 557,108 278,554 139,277 417,832 208,916 104,458 52,229 156,688 78,344 39,172 19,586 9,793 29,380 14,690 7,345 22,036 11,018 5,509 16,528 8,264 4,132 2,066 1,033 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806

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