λ
Harmonic Matrix

3,675,625

54 × 5881
Deficient Odd Composite

3,675,625 has digital root 7. The neighboring primes are 3675613 and 3675629; its proper-divisor sum differs from the starting integer by -2,757,408.

Prime Factor Structure

Factorization String 5^4 × 5881
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 4,593,842
Proper Divisor Sum 918,217
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3675613 ← → #3675629

Radix Representation

Decimal 3675625
Binary 1110000001010111101001 (22 bits)
Octal 0o16012751
Hexadecimal 0x3815E9

Divisor Catalog (10)

1 5 25 125 625 5,881 29,405 147,025 735,125 3,675,625

Collatz Trajectory (234 steps to reach 1)

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

3,675,625 11,026,876 5,513,438 2,756,719 8,270,158 4,135,079 12,405,238 6,202,619 18,607,858 9,303,929 27,911,788 13,955,894 6,977,947 20,933,842 10,466,921 31,400,764 15,700,382 7,850,191 23,550,574 11,775,287 35,325,862 17,662,931 52,988,794 26,494,397 79,483,192 39,741,596 19,870,798 9,935,399 29,806,198 14,903,099 44,709,298 22,354,649 67,063,948 33,531,974 16,765,987 50,297,962 25,148,981 75,446,944 37,723,472 18,861,736 9,430,868 4,715,434 2,357,717 7,073,152 3,536,576 1,768,288 884,144 442,072 221,036 110,518 55,259 165,778 82,889 248,668 124,334 62,167 186,502 93,251 279,754 139,877

More profiles

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