7,607,825

5² × 23 × 101 × 131

7,607,825 has the prime decomposition 5^2 × 23 × 101 × 131. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 23 × 101 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,017,216

Proper Divisor Sum 2,409,391

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7607813 ← → #7607827

Radix Representation

Decimal	7607825
Binary	11101000001011000010001 (23 bits)
Octal	0o35013021
Hexadecimal	0x741611

Divisor Catalog (24)

1 5 23 25 101 115 131 505 575 655 2,323 2,525 3,013 3,275 11,615 13,231 15,065 58,075 66,155 75,325 304,313 330,775 1,521,565 7,607,825

Collatz Trajectory (80 steps to reach 1)

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

7,607,825 22,823,476 11,411,738 5,705,869 17,117,608 8,558,804 4,279,402 2,139,701 6,419,104 3,209,552 1,604,776 802,388 401,194 200,597 601,792 300,896 150,448 75,224 37,612 18,806 9,403 28,210 14,105 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224

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