λ
Sigma Notebook

7,247,725

52 × 67 × 4327
Deficient Odd Composite

7,247,725 is odd and not a perfect square. Its factorization is 5^2 × 67 × 4327 and its 12 divisors sum to 9,123,424.

Prime Factor Structure

Factorization String 5^2 × 67 × 4327
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,123,424
Proper Divisor Sum 1,875,699
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7247719 ← → #7247731

Radix Representation

Decimal 7247725
Binary 11011101001011101101101 (23 bits)
Octal 0o33513555
Hexadecimal 0x6E976D

Divisor Catalog (12)

1 5 25 67 335 1,675 4,327 21,635 108,175 289,909 1,449,545 7,247,725

Collatz Trajectory (116 steps to reach 1)

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

7,247,725 21,743,176 10,871,588 5,435,794 2,717,897 8,153,692 4,076,846 2,038,423 6,115,270 3,057,635 9,172,906 4,586,453 13,759,360 6,879,680 3,439,840 1,719,920 859,960 429,980 214,990 107,495 322,486 161,243 483,730 241,865 725,596 362,798 181,399 544,198 272,099 816,298 408,149 1,224,448 612,224 306,112 153,056 76,528 38,264 19,132 9,566 4,783 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666

More profiles

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