8,216,761

7² × 61 × 2749

8,216,761 has digital root 4. The neighboring primes are 8216743 and 8216777; its proper-divisor sum differs from the starting integer by -6,715,022.

Prime Factor Structure

Factorization String 7^2 × 61 × 2749

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,718,500

Proper Divisor Sum 1,501,739

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8216743 ← → #8216777

Radix Representation

Decimal	8216761
Binary	11111010110000010111001 (23 bits)
Octal	0o37260271
Hexadecimal	0x7D60B9

Divisor Catalog (12)

1 7 49 61 427 2,749 2,989 19,243 134,701 167,689 1,173,823 8,216,761

Collatz Trajectory (111 steps to reach 1)

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

8,216,761 24,650,284 12,325,142 6,162,571 18,487,714 9,243,857 27,731,572 13,865,786 6,932,893 20,798,680 10,399,340 5,199,670 2,599,835 7,799,506 3,899,753 11,699,260 5,849,630 2,924,815 8,774,446 4,387,223 13,161,670 6,580,835 19,742,506 9,871,253 29,613,760 14,806,880 7,403,440 3,701,720 1,850,860 925,430 462,715 1,388,146 694,073 2,082,220 1,041,110 520,555 1,561,666 780,833 2,342,500 1,171,250 585,625 1,756,876 878,438 439,219 1,317,658 658,829 1,976,488 988,244 494,122 247,061 741,184 370,592 185,296 92,648 46,324 23,162 11,581 34,744 17,372 8,686

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