6,766,782

2 × 3 × 11 × 17 × 37 × 163

Starting at 6,766,782, the Collatz iteration reaches 1 after 284 steps. The first transition is 3383391; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 17 × 37 × 163

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 16,153,344

Proper Divisor Sum 9,386,562

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6766777 ← → #6766789

Radix Representation

Decimal	6766782
Binary	11001110100000010111110 (23 bits)
Octal	0o31640276
Hexadecimal	0x6740BE

Divisor Catalog (60 of 64)

1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 163 187 222 326 374 407 489 561 629 814 978 1,122 1,221 1,258 1,793 1,887 2,442 2,771 3,586 3,774 5,379 5,542 6,031 6,919 8,313 10,758 12,062 13,838 16,626 18,093 20,757 30,481 36,186 41,514 60,962 66,341 91,443 102,527 132,682 182,886 199,023 205,054 307,581 398,046 615,162

Collatz Trajectory (284 steps to reach 1)

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

6,766,782 3,383,391 10,150,174 5,075,087 15,225,262 7,612,631 22,837,894 11,418,947 34,256,842 17,128,421 51,385,264 25,692,632 12,846,316 6,423,158 3,211,579 9,634,738 4,817,369 14,452,108 7,226,054 3,613,027 10,839,082 5,419,541 16,258,624 8,129,312 4,064,656 2,032,328 1,016,164 508,082 254,041 762,124 381,062 190,531 571,594 285,797 857,392 428,696 214,348 107,174 53,587 160,762 80,381 241,144 120,572 60,286 30,143 90,430 45,215 135,646 67,823 203,470 101,735 305,206 152,603 457,810 228,905 686,716 343,358 171,679 515,038 257,519

← Previous Integer #6,766,781 Browse Full Index Next Integer #6,766,783 →