358,765

5 × 11² × 593

358,765 factors as 5 × 11^2 × 593. Its 12 positive divisors give a proper-divisor sum of 115,247, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 5 × 11^2 × 593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 474,012

Proper Divisor Sum 115,247

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #358753 ← → #358769

Radix Representation

Decimal	358765
Binary	1010111100101101101 (19 bits)
Octal	0o1274555
Hexadecimal	0x5796D

Divisor Catalog (12)

1 5 11 55 121 593 605 2,965 6,523 32,615 71,753 358,765

Collatz Trajectory (117 steps to reach 1)

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

358,765 1,076,296 538,148 269,074 134,537 403,612 201,806 100,903 302,710 151,355 454,066 227,033 681,100 340,550 170,275 510,826 255,413 766,240 383,120 191,560 95,780 47,890 23,945 71,836 35,918 17,959 53,878 26,939 80,818 40,409 121,228 60,614 30,307 90,922 45,461 136,384 68,192 34,096 17,048 8,524 4,262 2,131 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #358,764 Browse Full Index Next Integer #358,766 →