λ
Sigma Notebook

2,703,610

2 × 5 × 7 × 13 × 2971
Abundant Even Composite

2,703,610 is even and not a perfect square. Its factorization is 2 × 5 × 7 × 13 × 2971 and its 32 divisors sum to 5,991,552.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 2971
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,991,552
Proper Divisor Sum 3,287,942
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2703607 ← → #2703611

Radix Representation

Decimal 2703610
Binary 1010010100000011111010 (22 bits)
Octal 0o12240372
Hexadecimal 0x2940FA

Divisor Catalog (32)

1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 2,971 5,942 14,855 20,797 29,710 38,623 41,594 77,246 103,985 193,115 207,970 270,361 386,230 540,722 1,351,805 2,703,610

Collatz Trajectory (86 steps to reach 1)

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

2,703,610 1,351,805 4,055,416 2,027,708 1,013,854 506,927 1,520,782 760,391 2,281,174 1,140,587 3,421,762 1,710,881 5,132,644 2,566,322 1,283,161 3,849,484 1,924,742 962,371 2,887,114 1,443,557 4,330,672 2,165,336 1,082,668 541,334 270,667 812,002 406,001 1,218,004 609,002 304,501 913,504 456,752 228,376 114,188 57,094 28,547 85,642 42,821 128,464 64,232 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861

More profiles

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