λ
Sigma Notebook

3,562,790

2 × 5 × 72 × 11 × 661
Abundant Even Composite

3,562,790 is even and not a perfect square. Its factorization is 2 × 5 × 7^2 × 11 × 661 and its 48 divisors sum to 8,150,544.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 11 × 661
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,150,544
Proper Divisor Sum 4,587,754
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3562789 ← → #3562813

Radix Representation

Decimal 3562790
Binary 1101100101110100100110 (22 bits)
Octal 0o15456446
Hexadecimal 0x365D26

Divisor Catalog (48)

1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 661 770 1,078 1,322 2,695 3,305 4,627 5,390 6,610 7,271 9,254 14,542 23,135 32,389 36,355 46,270 50,897 64,778 72,710 101,794 161,945 254,485 323,890 356,279 508,970 712,558 1,781,395 3,562,790

Collatz Trajectory (172 steps to reach 1)

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

3,562,790 1,781,395 5,344,186 2,672,093 8,016,280 4,008,140 2,004,070 1,002,035 3,006,106 1,503,053 4,509,160 2,254,580 1,127,290 563,645 1,690,936 845,468 422,734 211,367 634,102 317,051 951,154 475,577 1,426,732 713,366 356,683 1,070,050 535,025 1,605,076 802,538 401,269 1,203,808 601,904 300,952 150,476 75,238 37,619 112,858 56,429 169,288 84,644 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562

More profiles

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