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Atlas › Integer Profiles › Node 43,001,058

43,001,058

2 × 3 × 17 × 103 × 4093
Abundant Even Composite

43,001,058 factors as 2 × 3 × 17 × 103 × 4093. Its 32 positive divisors give a proper-divisor sum of 48,966,558, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 103 × 4093
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 91,967,616
Proper Divisor Sum 48,966,558
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #43001051 ← → #43001071

Radix Representation

Decimal 43001058
Binary 10100100000010010011100010 (26 bits)
Octal 0o244022342
Hexadecimal 0x29024E2

Divisor Catalog (32)

1 2 3 6 17 34 51 102 103 206 309 618 1,751 3,502 4,093 5,253 8,186 10,506 12,279 24,558 69,581 139,162 208,743 417,486 421,579 843,158 1,264,737 2,529,474 7,166,843 14,333,686 21,500,529 43,001,058

Collatz Trajectory (98 steps to reach 1)

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

43,001,058 21,500,529 64,501,588 32,250,794 16,125,397 48,376,192 24,188,096 12,094,048 6,047,024 3,023,512 1,511,756 755,878 377,939 1,133,818 566,909 1,700,728 850,364 425,182 212,591 637,774 318,887 956,662 478,331 1,434,994 717,497 2,152,492 1,076,246 538,123 1,614,370 807,185 2,421,556 1,210,778 605,389 1,816,168 908,084 454,042 227,021 681,064 340,532 170,266 85,133 255,400 127,700 63,850 31,925 95,776 47,888 23,944 11,972 5,986 2,993 8,980 4,490 2,245 6,736 3,368 1,684 842 421 1,264

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