λ
Sigma Notebook

7,610,701

7 × 197 × 5519
Deficient Odd Composite

7,610,701 is odd and not a perfect square. Its factorization is 7 × 197 × 5519 and its 8 divisors sum to 8,743,680.

Prime Factor Structure

Factorization String 7 × 197 × 5519
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,743,680
Proper Divisor Sum 1,132,979
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7610693 ← → #7610741

Radix Representation

Decimal 7610701
Binary 11101000010000101001101 (23 bits)
Octal 0o35020515
Hexadecimal 0x74214D

Divisor Catalog (8)

1 7 197 1,379 5,519 38,633 1,087,243 7,610,701

Collatz Trajectory (155 steps to reach 1)

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

7,610,701 22,832,104 11,416,052 5,708,026 2,854,013 8,562,040 4,281,020 2,140,510 1,070,255 3,210,766 1,605,383 4,816,150 2,408,075 7,224,226 3,612,113 10,836,340 5,418,170 2,709,085 8,127,256 4,063,628 2,031,814 1,015,907 3,047,722 1,523,861 4,571,584 2,285,792 1,142,896 571,448 285,724 142,862 71,431 214,294 107,147 321,442 160,721 482,164 241,082 120,541 361,624 180,812 90,406 45,203 135,610 67,805 203,416 101,708 50,854 25,427 76,282 38,141 114,424 57,212 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275

More profiles

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