7,610,007

3 × 389 × 6521

7,610,007 has digital root 3. The neighboring primes are 7610003 and 7610039; its proper-divisor sum differs from the starting integer by -5,045,694.

Prime Factor Structure

Factorization String 3 × 389 × 6521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,174,320

Proper Divisor Sum 2,564,313

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7610003 ← → #7610039

Radix Representation

Decimal	7610007
Binary	11101000001111010010111 (23 bits)
Octal	0o35017227
Hexadecimal	0x741E97

Divisor Catalog (8)

1 3 389 1,167 6,521 19,563 2,536,669 7,610,007

Collatz Trajectory (129 steps to reach 1)

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

7,610,007 22,830,022 11,415,011 34,245,034 17,122,517 51,367,552 25,683,776 12,841,888 6,420,944 3,210,472 1,605,236 802,618 401,309 1,203,928 601,964 300,982 150,491 451,474 225,737 677,212 338,606 169,303 507,910 253,955 761,866 380,933 1,142,800 571,400 285,700 142,850 71,425 214,276 107,138 53,569 160,708 80,354 40,177 120,532 60,266 30,133 90,400 45,200 22,600 11,300 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050

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