λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,201,162

32,201,162

2 × 7 × 17 × 19 × 7121
Deficient Even Composite

32,201,162 factors as 2 × 7 × 17 × 19 × 7121. Its 32 positive divisors give a proper-divisor sum of 29,332,918, so this integer is deficient. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 19 × 7121
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 61,534,080
Proper Divisor Sum 29,332,918
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #32201161 ← → #32201189

Radix Representation

Decimal 32201162
Binary 1111010110101100111001010 (25 bits)
Octal 0o172654712
Hexadecimal 0x1EB59CA

Divisor Catalog (32)

1 2 7 14 17 19 34 38 119 133 238 266 323 646 2,261 4,522 7,121 14,242 49,847 99,694 121,057 135,299 242,114 270,598 847,399 947,093 1,694,798 1,894,186 2,300,083 4,600,166 16,100,581 32,201,162

Collatz Trajectory (263 steps to reach 1)

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

32,201,162 16,100,581 48,301,744 24,150,872 12,075,436 6,037,718 3,018,859 9,056,578 4,528,289 13,584,868 6,792,434 3,396,217 10,188,652 5,094,326 2,547,163 7,641,490 3,820,745 11,462,236 5,731,118 2,865,559 8,596,678 4,298,339 12,895,018 6,447,509 19,342,528 9,671,264 4,835,632 2,417,816 1,208,908 604,454 302,227 906,682 453,341 1,360,024 680,012 340,006 170,003 510,010 255,005 765,016 382,508 191,254 95,627 286,882 143,441 430,324 215,162 107,581 322,744 161,372 80,686 40,343 121,030 60,515 181,546 90,773 272,320 136,160 68,080 34,040

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #32,201,161 Browse Full Index Next Integer #32,201,163 →