λ
Sigma Notebook

2,509,255

5 × 7 × 71693
Deficient Odd Composite

2,509,255 is odd and not a perfect square. Its factorization is 5 × 7 × 71693 and its 8 divisors sum to 3,441,312.

Prime Factor Structure

Factorization String 5 × 7 × 71693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,441,312
Proper Divisor Sum 932,057
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2509253 ← → #2509259

Radix Representation

Decimal 2509255
Binary 1001100100100111000111 (22 bits)
Octal 0o11444707
Hexadecimal 0x2649C7

Divisor Catalog (8)

1 5 7 35 71,693 358,465 501,851 2,509,255

Collatz Trajectory (161 steps to reach 1)

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

2,509,255 7,527,766 3,763,883 11,291,650 5,645,825 16,937,476 8,468,738 4,234,369 12,703,108 6,351,554 3,175,777 9,527,332 4,763,666 2,381,833 7,145,500 3,572,750 1,786,375 5,359,126 2,679,563 8,038,690 4,019,345 12,058,036 6,029,018 3,014,509 9,043,528 4,521,764 2,260,882 1,130,441 3,391,324 1,695,662 847,831 2,543,494 1,271,747 3,815,242 1,907,621 5,722,864 2,861,432 1,430,716 715,358 357,679 1,073,038 536,519 1,609,558 804,779 2,414,338 1,207,169 3,621,508 1,810,754 905,377 2,716,132 1,358,066 679,033 2,037,100 1,018,550 509,275 1,527,826 763,913 2,291,740 1,145,870 572,935

More profiles

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