7,740,024

2³ × 3 × 322501

7,740,024 has digital root 6. The neighboring primes are 7740023 and 7740037; its proper-divisor sum differs from the starting integer by 3,870,072.

Prime Factor Structure

Factorization String 2^3 × 3 × 322501

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,350,120

Proper Divisor Sum 11,610,096

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7740023 ← → #7740037

Radix Representation

Decimal	7740024
Binary	11101100001101001111000 (23 bits)
Octal	0o35415170
Hexadecimal	0x761A78

Divisor Catalog (16)

1 2 3 4 6 8 12 24 322,501 645,002 967,503 1,290,004 1,935,006 2,580,008 3,870,012 7,740,024

Collatz Trajectory (98 steps to reach 1)

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

7,740,024 3,870,012 1,935,006 967,503 2,902,510 1,451,255 4,353,766 2,176,883 6,530,650 3,265,325 9,795,976 4,897,988 2,448,994 1,224,497 3,673,492 1,836,746 918,373 2,755,120 1,377,560 688,780 344,390 172,195 516,586 258,293 774,880 387,440 193,720 96,860 48,430 24,215 72,646 36,323 108,970 54,485 163,456 81,728 40,864 20,432 10,216 5,108 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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