λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,166,162

32,166,162

2 × 32 × 7 × 29 × 8803
Abundant Even Composite

32,166,162 factors as 2 × 3^2 × 7 × 29 × 8803. Its 48 positive divisors give a proper-divisor sum of 50,239,278, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 29 × 8803
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 82,405,440
Proper Divisor Sum 50,239,278
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #32166157 ← → #32166217

Radix Representation

Decimal 32166162
Binary 1111010101101000100010010 (25 bits)
Octal 0o172550422
Hexadecimal 0x1EAD112

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1,218 1,827 3,654 8,803 17,606 26,409 52,818 61,621 79,227 123,242 158,454 184,863 255,287 369,726 510,574 554,589 765,861 1,109,178 1,531,722 1,787,009 2,297,583 3,574,018 4,595,166 5,361,027 10,722,054 16,083,081 32,166,162

Collatz Trajectory (263 steps to reach 1)

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

32,166,162 16,083,081 48,249,244 24,124,622 12,062,311 36,186,934 18,093,467 54,280,402 27,140,201 81,420,604 40,710,302 20,355,151 61,065,454 30,532,727 91,598,182 45,799,091 137,397,274 68,698,637 206,095,912 103,047,956 51,523,978 25,761,989 77,285,968 38,642,984 19,321,492 9,660,746 4,830,373 14,491,120 7,245,560 3,622,780 1,811,390 905,695 2,717,086 1,358,543 4,075,630 2,037,815 6,113,446 3,056,723 9,170,170 4,585,085 13,755,256 6,877,628 3,438,814 1,719,407 5,158,222 2,579,111 7,737,334 3,868,667 11,606,002 5,803,001 17,409,004 8,704,502 4,352,251 13,056,754 6,528,377 19,585,132 9,792,566 4,896,283 14,688,850 7,344,425

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #32,166,161 Browse Full Index Next Integer #32,166,163 →