λ
Sigma Notebook

7,610,740

22 × 5 × 443 × 859
Abundant Even Composite

7,610,740 is even and not a perfect square. Its factorization is 2^2 × 5 × 443 × 859 and its 24 divisors sum to 16,037,280.

Prime Factor Structure

Factorization String 2^2 × 5 × 443 × 859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,037,280
Proper Divisor Sum 8,426,540
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7610693 ← → #7610741

Radix Representation

Decimal 7610740
Binary 11101000010000101110100 (23 bits)
Octal 0o35020564
Hexadecimal 0x742174

Divisor Catalog (24)

1 2 4 5 10 20 443 859 886 1,718 1,772 2,215 3,436 4,295 4,430 8,590 8,860 17,180 380,537 761,074 1,522,148 1,902,685 3,805,370 7,610,740

Collatz Trajectory (80 steps to reach 1)

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

7,610,740 3,805,370 1,902,685 5,708,056 2,854,028 1,427,014 713,507 2,140,522 1,070,261 3,210,784 1,605,392 802,696 401,348 200,674 100,337 301,012 150,506 75,253 225,760 112,880 56,440 28,220 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

More profiles

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