6,785,829

3³ × 97 × 2591

Starting at 6,785,829, the Collatz iteration reaches 1 after 129 steps. The first transition is 20357488; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 97 × 2591

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,160,640

Proper Divisor Sum 3,374,811

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6785791 ← → #6785843

Radix Representation

Decimal	6785829
Binary	11001111000101100100101 (23 bits)
Octal	0o31705445
Hexadecimal	0x678B25

Divisor Catalog (16)

1 3 9 27 97 291 873 2,591 2,619 7,773 23,319 69,957 251,327 753,981 2,261,943 6,785,829

Collatz Trajectory (129 steps to reach 1)

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

6,785,829 20,357,488 10,178,744 5,089,372 2,544,686 1,272,343 3,817,030 1,908,515 5,725,546 2,862,773 8,588,320 4,294,160 2,147,080 1,073,540 536,770 268,385 805,156 402,578 201,289 603,868 301,934 150,967 452,902 226,451 679,354 339,677 1,019,032 509,516 254,758 127,379 382,138 191,069 573,208 286,604 143,302 71,651 214,954 107,477 322,432 161,216 80,608 40,304 20,152 10,076 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180

← Previous Integer #6,785,828 Browse Full Index Next Integer #6,785,830 →