8,190,729

3² × 19² × 2521

8,190,729 has digital root 9. The neighboring primes are 8190701 and 8190751; its proper-divisor sum differs from the starting integer by -3,889,992.

Prime Factor Structure

Factorization String 3^2 × 19^2 × 2521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 12,491,466

Proper Divisor Sum 4,300,737

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8190701 ← → #8190751

Radix Representation

Decimal	8190729
Binary	11111001111101100001001 (23 bits)
Octal	0o37175411
Hexadecimal	0x7CFB09

Divisor Catalog (18)

1 3 9 19 57 171 361 1,083 2,521 3,249 7,563 22,689 47,899 143,697 431,091 910,081 2,730,243 8,190,729

Collatz Trajectory (111 steps to reach 1)

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

8,190,729 24,572,188 12,286,094 6,143,047 18,429,142 9,214,571 27,643,714 13,821,857 41,465,572 20,732,786 10,366,393 31,099,180 15,549,590 7,774,795 23,324,386 11,662,193 34,986,580 17,493,290 8,746,645 26,239,936 13,119,968 6,559,984 3,279,992 1,639,996 819,998 409,999 1,229,998 614,999 1,844,998 922,499 2,767,498 1,383,749 4,151,248 2,075,624 1,037,812 518,906 259,453 778,360 389,180 194,590 97,295 291,886 145,943 437,830 218,915 656,746 328,373 985,120 492,560 246,280 123,140 61,570 30,785 92,356 46,178 23,089 69,268 34,634 17,317 51,952

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