705,747

3 × 7² × 4801

705,747 factors as 3 × 7^2 × 4801. Its 12 positive divisors give a proper-divisor sum of 389,109, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 4801

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,094,856

Proper Divisor Sum 389,109

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #705737 ← → #705751

Radix Representation

Decimal	705747
Binary	10101100010011010011 (20 bits)
Octal	0o2542323
Hexadecimal	0xAC4D3

Divisor Catalog (12)

1 3 7 21 49 147 4,801 14,403 33,607 100,821 235,249 705,747

Collatz Trajectory (149 steps to reach 1)

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

705,747 2,117,242 1,058,621 3,175,864 1,587,932 793,966 396,983 1,190,950 595,475 1,786,426 893,213 2,679,640 1,339,820 669,910 334,955 1,004,866 502,433 1,507,300 753,650 376,825 1,130,476 565,238 282,619 847,858 423,929 1,271,788 635,894 317,947 953,842 476,921 1,430,764 715,382 357,691 1,073,074 536,537 1,609,612 804,806 402,403 1,207,210 603,605 1,810,816 905,408 452,704 226,352 113,176 56,588 28,294 14,147 42,442 21,221 63,664 31,832 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477

More profiles

6,222,748 7,571,656 1,655,683 2,202,261 4,414,880 1,409,507 4,020,463 4,329,109 9,103,424 2,089,102 4,591,838 9,837,923 4,610,572 1,570,397 4,030,111 1,620,297

← Previous Integer #705,746 Browse Full Index Next Integer #705,748 →