λ
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Atlas › Integer Profiles › Node 92,183,488

92,183,488

26 × 59 × 24413
Abundant Even Composite

92,183,488 factors as 2^6 × 59 × 24413. Its 28 positive divisors give a proper-divisor sum of 93,851,192, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^6 × 59 × 24413
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 186,034,680
Proper Divisor Sum 93,851,192
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #92183467 ← → #92183501

Radix Representation

Decimal 92183488
Binary 101011111101001101111000000 (27 bits)
Octal 0o537515700
Hexadecimal 0x57E9BC0

Divisor Catalog (28)

1 2 4 8 16 32 59 64 118 236 472 944 1,888 3,776 24,413 48,826 97,652 195,304 390,608 781,216 1,440,367 1,562,432 2,880,734 5,761,468 11,522,936 23,045,872 46,091,744 92,183,488

Collatz Trajectory (143 steps to reach 1)

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

92,183,488 46,091,744 23,045,872 11,522,936 5,761,468 2,880,734 1,440,367 4,321,102 2,160,551 6,481,654 3,240,827 9,722,482 4,861,241 14,583,724 7,291,862 3,645,931 10,937,794 5,468,897 16,406,692 8,203,346 4,101,673 12,305,020 6,152,510 3,076,255 9,228,766 4,614,383 13,843,150 6,921,575 20,764,726 10,382,363 31,147,090 15,573,545 46,720,636 23,360,318 11,680,159 35,040,478 17,520,239 52,560,718 26,280,359 78,841,078 39,420,539 118,261,618 59,130,809 177,392,428 88,696,214 44,348,107 133,044,322 66,522,161 199,566,484 99,783,242 49,891,621 149,674,864 74,837,432 37,418,716 18,709,358 9,354,679 28,064,038 14,032,019 42,096,058 21,048,029

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