6,317,376

2⁶ × 3 × 13 × 2531

6,317,376 has digital root 6. The neighboring primes are 6317371 and 6317383; its proper-divisor sum differs from the starting integer by 5,372,832.

Prime Factor Structure

Factorization String 2^6 × 3 × 13 × 2531

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 18,007,584

Proper Divisor Sum 11,690,208

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6317371 ← → #6317383

Radix Representation

Decimal	6317376
Binary	11000000110010101000000 (23 bits)
Octal	0o30062500
Hexadecimal	0x606540

Divisor Catalog (56)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1,248 2,496 2,531 5,062 7,593 10,124 15,186 20,248 30,372 32,903 40,496 60,744 65,806 80,992 98,709 121,488 131,612 161,984 197,418 242,976 263,224 394,836 485,952 526,448 789,672 1,052,896 1,579,344 2,105,792 3,158,688 6,317,376

Collatz Trajectory (121 steps to reach 1)

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

6,317,376 3,158,688 1,579,344 789,672 394,836 197,418 98,709 296,128 148,064 74,032 37,016 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132

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