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Atlas › Integer Profiles › Node 92,324,752

92,324,752

24 × 13 × 443869
Abundant Even Composite

92,324,752 factors as 2^4 × 13 × 443869. Its 20 positive divisors give a proper-divisor sum of 100,314,828, so this integer is abundant. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 443869
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 192,639,580
Proper Divisor Sum 100,314,828
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #92324747 ← → #92324753

Radix Representation

Decimal 92324752
Binary 101100000001100001110010000 (27 bits)
Octal 0o540141620
Hexadecimal 0x580C390

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 443,869 887,738 1,775,476 3,550,952 5,770,297 7,101,904 11,540,594 23,081,188 46,162,376 92,324,752

Collatz Trajectory (249 steps to reach 1)

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

92,324,752 46,162,376 23,081,188 11,540,594 5,770,297 17,310,892 8,655,446 4,327,723 12,983,170 6,491,585 19,474,756 9,737,378 4,868,689 14,606,068 7,303,034 3,651,517 10,954,552 5,477,276 2,738,638 1,369,319 4,107,958 2,053,979 6,161,938 3,080,969 9,242,908 4,621,454 2,310,727 6,932,182 3,466,091 10,398,274 5,199,137 15,597,412 7,798,706 3,899,353 11,698,060 5,849,030 2,924,515 8,773,546 4,386,773 13,160,320 6,580,160 3,290,080 1,645,040 822,520 411,260 205,630 102,815 308,446 154,223 462,670 231,335 694,006 347,003 1,041,010 520,505 1,561,516 780,758 390,379 1,171,138 585,569

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