λ
Sigma Notebook

2,512,671

3 × 72 × 17093
Deficient Odd Composite

2,512,671 is odd and not a perfect square. Its factorization is 3 × 7^2 × 17093 and its 12 divisors sum to 3,897,432.

Prime Factor Structure

Factorization String 3 × 7^2 × 17093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,897,432
Proper Divisor Sum 1,384,761
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2512661 ← → #2512673

Radix Representation

Decimal 2512671
Binary 1001100101011100011111 (22 bits)
Octal 0o11453437
Hexadecimal 0x26571F

Divisor Catalog (12)

1 3 7 21 49 147 17,093 51,279 119,651 358,953 837,557 2,512,671

Collatz Trajectory (280 steps to reach 1)

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

2,512,671 7,538,014 3,769,007 11,307,022 5,653,511 16,960,534 8,480,267 25,440,802 12,720,401 38,161,204 19,080,602 9,540,301 28,620,904 14,310,452 7,155,226 3,577,613 10,732,840 5,366,420 2,683,210 1,341,605 4,024,816 2,012,408 1,006,204 503,102 251,551 754,654 377,327 1,131,982 565,991 1,697,974 848,987 2,546,962 1,273,481 3,820,444 1,910,222 955,111 2,865,334 1,432,667 4,298,002 2,149,001 6,447,004 3,223,502 1,611,751 4,835,254 2,417,627 7,252,882 3,626,441 10,879,324 5,439,662 2,719,831 8,159,494 4,079,747 12,239,242 6,119,621 18,358,864 9,179,432 4,589,716 2,294,858 1,147,429 3,442,288

More profiles

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