607,113

3² × 13 × 5189

607,113 factors as 3^2 × 13 × 5189. Its 12 positive divisors give a proper-divisor sum of 337,467, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 5189

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 944,580

Proper Divisor Sum 337,467

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #607109 ← → #607127

Radix Representation

Decimal	607113
Binary	10010100001110001001 (20 bits)
Octal	0o2241611
Hexadecimal	0x94389

Divisor Catalog (12)

1 3 9 13 39 117 5,189 15,567 46,701 67,457 202,371 607,113

Collatz Trajectory (203 steps to reach 1)

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

607,113 1,821,340 910,670 455,335 1,366,006 683,003 2,049,010 1,024,505 3,073,516 1,536,758 768,379 2,305,138 1,152,569 3,457,708 1,728,854 864,427 2,593,282 1,296,641 3,889,924 1,944,962 972,481 2,917,444 1,458,722 729,361 2,188,084 1,094,042 547,021 1,641,064 820,532 410,266 205,133 615,400 307,700 153,850 76,925 230,776 115,388 57,694 28,847 86,542 43,271 129,814 64,907 194,722 97,361 292,084 146,042 73,021 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613 184,840 92,420 46,210 23,105

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #607,112 Browse Full Index Next Integer #607,114 →