6,137,577

3² × 41 × 16633

6,137,577 has digital root 9. The neighboring primes are 6137569 and 6137587; its proper-divisor sum differs from the starting integer by -3,192,990.

Prime Factor Structure

Factorization String 3^2 × 41 × 16633

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,082,164

Proper Divisor Sum 2,944,587

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6137569 ← → #6137587

Radix Representation

Decimal	6137577
Binary	10111011010011011101001 (23 bits)
Octal	0o27323351
Hexadecimal	0x5DA6E9

Divisor Catalog (12)

1 3 9 41 123 369 16,633 49,899 149,697 681,953 2,045,859 6,137,577

Collatz Trajectory (108 steps to reach 1)

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

6,137,577 18,412,732 9,206,366 4,603,183 13,809,550 6,904,775 20,714,326 10,357,163 31,071,490 15,535,745 46,607,236 23,303,618 11,651,809 34,955,428 17,477,714 8,738,857 26,216,572 13,108,286 6,554,143 19,662,430 9,831,215 29,493,646 14,746,823 44,240,470 22,120,235 66,360,706 33,180,353 99,541,060 49,770,530 24,885,265 74,655,796 37,327,898 18,663,949 55,991,848 27,995,924 13,997,962 6,998,981 20,996,944 10,498,472 5,249,236 2,624,618 1,312,309 3,936,928 1,968,464 984,232 492,116 246,058 123,029 369,088 184,544 92,272 46,136 23,068 11,534 5,767 17,302 8,651 25,954 12,977 38,932

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