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Atlas › Integer Profiles › Node 32,421,160

32,421,160

23 × 5 × 41 × 53 × 373
Abundant Even Composite

32,421,160 factors as 2^3 × 5 × 41 × 53 × 373. Its 64 positive divisors give a proper-divisor sum of 43,919,720, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 41 × 53 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 76,340,880
Proper Divisor Sum 43,919,720
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #32421157 ← → #32421197

Radix Representation

Decimal 32421160
Binary 1111011101011010100101000 (25 bits)
Octal 0o173532450
Hexadecimal 0x1EEB528

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 40 41 53 82 106 164 205 212 265 328 373 410 424 530 746 820 1,060 1,492 1,640 1,865 2,120 2,173 2,984 3,730 4,346 7,460 8,692 10,865 14,920 15,293 17,384 19,769 21,730 30,586 39,538 43,460 61,172 76,465 79,076 86,920 98,845 122,344 152,930 158,152 197,690 305,860 395,380 611,720 790,760 810,529 1,621,058 3,242,116 4,052,645

Collatz Trajectory (232 steps to reach 1)

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

32,421,160 16,210,580 8,105,290 4,052,645 12,157,936 6,078,968 3,039,484 1,519,742 759,871 2,279,614 1,139,807 3,419,422 1,709,711 5,129,134 2,564,567 7,693,702 3,846,851 11,540,554 5,770,277 17,310,832 8,655,416 4,327,708 2,163,854 1,081,927 3,245,782 1,622,891 4,868,674 2,434,337 7,303,012 3,651,506 1,825,753 5,477,260 2,738,630 1,369,315 4,107,946 2,053,973 6,161,920 3,080,960 1,540,480 770,240 385,120 192,560 96,280 48,140 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714

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