6,657,784

2³ × 7 × 61 × 1949

Starting at 6,657,784, the Collatz iteration reaches 1 after 134 steps. The first transition is 3328892; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 61 × 1949

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,508,000

Proper Divisor Sum 7,850,216

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6657779 ← → #6657797

Radix Representation

Decimal	6657784
Binary	11001011001011011111000 (23 bits)
Octal	0o31313370
Hexadecimal	0x6596F8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 61 122 244 427 488 854 1,708 1,949 3,416 3,898 7,796 13,643 15,592 27,286 54,572 109,144 118,889 237,778 475,556 832,223 951,112 1,664,446 3,328,892 6,657,784

Collatz Trajectory (134 steps to reach 1)

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

6,657,784 3,328,892 1,664,446 832,223 2,496,670 1,248,335 3,745,006 1,872,503 5,617,510 2,808,755 8,426,266 4,213,133 12,639,400 6,319,700 3,159,850 1,579,925 4,739,776 2,369,888 1,184,944 592,472 296,236 148,118 74,059 222,178 111,089 333,268 166,634 83,317 249,952 124,976 62,488 31,244 15,622 7,811 23,434 11,717 35,152 17,576 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

← Previous Integer #6,657,783 Browse Full Index Next Integer #6,657,785 →