λ
Sigma Notebook

8,260,225

52 × 330409
Deficient Odd Composite

8,260,225 is odd and not a perfect square. Its factorization is 5^2 × 330409 and its 6 divisors sum to 10,242,710.

Prime Factor Structure

Factorization String 5^2 × 330409
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,242,710
Proper Divisor Sum 1,982,485
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8260223 ← → #8260261

Radix Representation

Decimal 8260225
Binary 11111100000101010000001 (23 bits)
Octal 0o37405201
Hexadecimal 0x7E0A81

Divisor Catalog (6)

1 5 25 330,409 1,652,045 8,260,225

Collatz Trajectory (137 steps to reach 1)

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

8,260,225 24,780,676 12,390,338 6,195,169 18,585,508 9,292,754 4,646,377 13,939,132 6,969,566 3,484,783 10,454,350 5,227,175 15,681,526 7,840,763 23,522,290 11,761,145 35,283,436 17,641,718 8,820,859 26,462,578 13,231,289 39,693,868 19,846,934 9,923,467 29,770,402 14,885,201 44,655,604 22,327,802 11,163,901 33,491,704 16,745,852 8,372,926 4,186,463 12,559,390 6,279,695 18,839,086 9,419,543 28,258,630 14,129,315 42,387,946 21,193,973 63,581,920 31,790,960 15,895,480 7,947,740 3,973,870 1,986,935 5,960,806 2,980,403 8,941,210 4,470,605 13,411,816 6,705,908 3,352,954 1,676,477 5,029,432 2,514,716 1,257,358 628,679 1,886,038

More profiles

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