7,601,013

3³ × 7 × 131 × 307

7,601,013 has digital root 9. The neighboring primes are 7600993 and 7601039; its proper-divisor sum differs from the starting integer by -2,192,106.

Prime Factor Structure

Factorization String 3^3 × 7 × 131 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,009,920

Proper Divisor Sum 5,408,907

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7600993 ← → #7601039

Radix Representation

Decimal	7601013
Binary	11100111111101101110101 (23 bits)
Octal	0o34775565
Hexadecimal	0x73FB75

Divisor Catalog (32)

1 3 7 9 21 27 63 131 189 307 393 917 921 1,179 2,149 2,751 2,763 3,537 6,447 8,253 8,289 19,341 24,759 40,217 58,023 120,651 281,519 361,953 844,557 1,085,859 2,533,671 7,601,013

Collatz Trajectory (129 steps to reach 1)

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

7,601,013 22,803,040 11,401,520 5,700,760 2,850,380 1,425,190 712,595 2,137,786 1,068,893 3,206,680 1,603,340 801,670 400,835 1,202,506 601,253 1,803,760 901,880 450,940 225,470 112,735 338,206 169,103 507,310 253,655 760,966 380,483 1,141,450 570,725 1,712,176 856,088 428,044 214,022 107,011 321,034 160,517 481,552 240,776 120,388 60,194 30,097 90,292 45,146 22,573 67,720 33,860 16,930 8,465 25,396 12,698 6,349 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340

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