λ
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Atlas › Integer Profiles › Node 43,359,596

43,359,596

22 × 7 × 19 × 149 × 547
Abundant Even Composite

43,359,596 factors as 2^2 × 7 × 19 × 149 × 547. Its 48 positive divisors give a proper-divisor sum of 48,704,404, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 149 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 92,064,000
Proper Divisor Sum 48,704,404
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #43359581 ← → #43359599

Radix Representation

Decimal 43359596
Binary 10100101011001110101101100 (26 bits)
Octal 0o245316554
Hexadecimal 0x2959D6C

Divisor Catalog (48)

1 2 4 7 14 19 28 38 76 133 149 266 298 532 547 596 1,043 1,094 2,086 2,188 2,831 3,829 4,172 5,662 7,658 10,393 11,324 15,316 19,817 20,786 39,634 41,572 72,751 79,268 81,503 145,502 163,006 291,004 326,012 570,521 1,141,042 1,548,557 2,282,084 3,097,114 6,194,228 10,839,899 21,679,798 43,359,596

Collatz Trajectory (90 steps to reach 1)

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

43,359,596 21,679,798 10,839,899 32,519,698 16,259,849 48,779,548 24,389,774 12,194,887 36,584,662 18,292,331 54,876,994 27,438,497 82,315,492 41,157,746 20,578,873 61,736,620 30,868,310 15,434,155 46,302,466 23,151,233 69,453,700 34,726,850 17,363,425 52,090,276 26,045,138 13,022,569 39,067,708 19,533,854 9,766,927 29,300,782 14,650,391 43,951,174 21,975,587 65,926,762 32,963,381 98,890,144 49,445,072 24,722,536 12,361,268 6,180,634 3,090,317 9,270,952 4,635,476 2,317,738 1,158,869 3,476,608 1,738,304 869,152 434,576 217,288 108,644 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836

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