λ
Sigma Notebook

725,242

2 × 7 × 51803
Deficient Even Composite

725,242 is even and not a perfect square. Its factorization is 2 × 7 × 51803 and its 8 divisors sum to 1,243,296.

Prime Factor Structure

Factorization String 2 × 7 × 51803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,243,296
Proper Divisor Sum 518,054
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #725209 ← → #725273

Radix Representation

Decimal 725242
Binary 10110001000011111010 (20 bits)
Octal 0o2610372
Hexadecimal 0xB10FA

Divisor Catalog (8)

1 2 7 14 51,803 103,606 362,621 725,242

Collatz Trajectory (118 steps to reach 1)

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

725,242 362,621 1,087,864 543,932 271,966 135,983 407,950 203,975 611,926 305,963 917,890 458,945 1,376,836 688,418 344,209 1,032,628 516,314 258,157 774,472 387,236 193,618 96,809 290,428 145,214 72,607 217,822 108,911 326,734 163,367 490,102 245,051 735,154 367,577 1,102,732 551,366 275,683 827,050 413,525 1,240,576 620,288 310,144 155,072 77,536 38,768 19,384 9,692 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767

More profiles

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