λ
Harmonic Matrix

7,697,004

22 × 3 × 7 × 91631
Abundant Even Composite

7,697,004 has digital root 6. The neighboring primes are 7697003 and 7697009; its proper-divisor sum differs from the starting integer by 5,131,560.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 91631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,525,568
Proper Divisor Sum 12,828,564
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7697003 ← → #7697009

Radix Representation

Decimal 7697004
Binary 11101010111001001101100 (23 bits)
Octal 0o35271154
Hexadecimal 0x75726C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 91,631 183,262 274,893 366,524 549,786 641,417 1,099,572 1,282,834 1,924,251 2,565,668 3,848,502 7,697,004

Collatz Trajectory (217 steps to reach 1)

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

7,697,004 3,848,502 1,924,251 5,772,754 2,886,377 8,659,132 4,329,566 2,164,783 6,494,350 3,247,175 9,741,526 4,870,763 14,612,290 7,306,145 21,918,436 10,959,218 5,479,609 16,438,828 8,219,414 4,109,707 12,329,122 6,164,561 18,493,684 9,246,842 4,623,421 13,870,264 6,935,132 3,467,566 1,733,783 5,201,350 2,600,675 7,802,026 3,901,013 11,703,040 5,851,520 2,925,760 1,462,880 731,440 365,720 182,860 91,430 45,715 137,146 68,573 205,720 102,860 51,430 25,715 77,146 38,573 115,720 57,860 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137

More profiles

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