6,978,840

2³ × 3 × 5 × 11 × 17 × 311

Starting at 6,978,840, the Collatz iteration reaches 1 after 72 steps. The first transition is 3489420; the starting value is even with 128 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 17 × 311

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 24,261,120

Proper Divisor Sum 17,282,280

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6978809 ← → #6978841

Radix Representation

Decimal	6978840
Binary	11010100111110100011000 (23 bits)
Octal	0o32476430
Hexadecimal	0x6A7D18

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 311 330 340 374 408 440 510 561 622 660 680 748 933 935 1,020 1,122 1,244 1,320 1,496 1,555 1,866

Collatz Trajectory (72 steps to reach 1)

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

6,978,840 3,489,420 1,744,710 872,355 2,617,066 1,308,533 3,925,600 1,962,800 981,400 490,700 245,350 122,675 368,026 184,013 552,040 276,020 138,010 69,005 207,016 103,508 51,754 25,877 77,632 38,816 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

← Previous Integer #6,978,839 Browse Full Index Next Integer #6,978,841 →