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Atlas › Integer Profiles › Node 32,876,320

32,876,320

25 × 5 × 205477
Abundant Even Composite

32,876,320 factors as 2^5 × 5 × 205477. Its 24 positive divisors give a proper-divisor sum of 44,794,364, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 205477
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 77,670,684
Proper Divisor Sum 44,794,364
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #32876309 ← → #32876321

Radix Representation

Decimal 32876320
Binary 1111101011010011100100000 (25 bits)
Octal 0o175323440
Hexadecimal 0x1F5A720

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 205,477 410,954 821,908 1,027,385 1,643,816 2,054,770 3,287,632 4,109,540 6,575,264 8,219,080 16,438,160 32,876,320

Collatz Trajectory (170 steps to reach 1)

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

32,876,320 16,438,160 8,219,080 4,109,540 2,054,770 1,027,385 3,082,156 1,541,078 770,539 2,311,618 1,155,809 3,467,428 1,733,714 866,857 2,600,572 1,300,286 650,143 1,950,430 975,215 2,925,646 1,462,823 4,388,470 2,194,235 6,582,706 3,291,353 9,874,060 4,937,030 2,468,515 7,405,546 3,702,773 11,108,320 5,554,160 2,777,080 1,388,540 694,270 347,135 1,041,406 520,703 1,562,110 781,055 2,343,166 1,171,583 3,514,750 1,757,375 5,272,126 2,636,063 7,908,190 3,954,095 11,862,286 5,931,143 17,793,430 8,896,715 26,690,146 13,345,073 40,035,220 20,017,610 10,008,805 30,026,416 15,013,208 7,506,604

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