7,201,825

5² × 271 × 1063

Prime Factor Structure

Factorization String 5^2 × 271 × 1063

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,971,648

Proper Divisor Sum 1,769,823

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7201823 ← → #7201847

Radix Representation

Decimal	7201825
Binary	11011011110010000100001 (23 bits)
Octal	0o33362041
Hexadecimal	0x6DE421

Divisor Catalog (12)

1 5 25 271 1,063 1,355 5,315 6,775 26,575 288,073 1,440,365 7,201,825

Collatz Trajectory (434 steps to reach 1)

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

7,201,825 21,605,476 10,802,738 5,401,369 16,204,108 8,102,054 4,051,027 12,153,082 6,076,541 18,229,624 9,114,812 4,557,406 2,278,703 6,836,110 3,418,055 10,254,166 5,127,083 15,381,250 7,690,625 23,071,876 11,535,938 5,767,969 17,303,908 8,651,954 4,325,977 12,977,932 6,488,966 3,244,483 9,733,450 4,866,725 14,600,176 7,300,088 3,650,044 1,825,022 912,511 2,737,534 1,368,767 4,106,302 2,053,151 6,159,454 3,079,727 9,239,182 4,619,591 13,858,774 6,929,387 20,788,162 10,394,081 31,182,244 15,591,122 7,795,561 23,386,684 11,693,342 5,846,671 17,540,014 8,770,007 26,310,022 13,155,011 39,465,034 19,732,517 59,197,552

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