λ
Ratio Atlas
Atlas › Integer Profiles › Node 968,175

968,175

32 × 52 × 13 × 331
Deficient Odd Composite

968,175 factors as 3^2 × 5^2 × 13 × 331. Its 36 positive divisors give a proper-divisor sum of 904,969, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 13 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,873,144
Proper Divisor Sum 904,969
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #968173 ← → #968197

Radix Representation

Decimal 968175
Binary 11101100010111101111 (20 bits)
Octal 0o3542757
Hexadecimal 0xEC5EF

Divisor Catalog (36)

1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 331 585 975 993 1,655 2,925 2,979 4,303 4,965 8,275 12,909 14,895 21,515 24,825 38,727 64,545 74,475 107,575 193,635 322,725 968,175

Collatz Trajectory (214 steps to reach 1)

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

968,175 2,904,526 1,452,263 4,356,790 2,178,395 6,535,186 3,267,593 9,802,780 4,901,390 2,450,695 7,352,086 3,676,043 11,028,130 5,514,065 16,542,196 8,271,098 4,135,549 12,406,648 6,203,324 3,101,662 1,550,831 4,652,494 2,326,247 6,978,742 3,489,371 10,468,114 5,234,057 15,702,172 7,851,086 3,925,543 11,776,630 5,888,315 17,664,946 8,832,473 26,497,420 13,248,710 6,624,355 19,873,066 9,936,533 29,809,600 14,904,800 7,452,400 3,726,200 1,863,100 931,550 465,775 1,397,326 698,663 2,095,990 1,047,995 3,143,986 1,571,993 4,715,980 2,357,990 1,178,995 3,536,986 1,768,493 5,305,480 2,652,740 1,326,370

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #968,174 Browse Full Index Next Integer #968,176 →