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Atlas › Integer Profiles › Node 42,844,974

42,844,974

2 × 3 × 59 × 127 × 953
Abundant Even Composite

42,844,974 factors as 2 × 3 × 59 × 127 × 953. Its 32 positive divisors give a proper-divisor sum of 45,075,666, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 3 × 59 × 127 × 953
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 87,920,640
Proper Divisor Sum 45,075,666
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #42844973 ← → #42844993

Radix Representation

Decimal 42844974
Binary 10100011011100001100101110 (26 bits)
Octal 0o243341456
Hexadecimal 0x28DC32E

Divisor Catalog (32)

1 2 3 6 59 118 127 177 254 354 381 762 953 1,906 2,859 5,718 7,493 14,986 22,479 44,958 56,227 112,454 121,031 168,681 242,062 337,362 363,093 726,186 7,140,829 14,281,658 21,422,487 42,844,974

Collatz Trajectory (191 steps to reach 1)

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

42,844,974 21,422,487 64,267,462 32,133,731 96,401,194 48,200,597 144,601,792 72,300,896 36,150,448 18,075,224 9,037,612 4,518,806 2,259,403 6,778,210 3,389,105 10,167,316 5,083,658 2,541,829 7,625,488 3,812,744 1,906,372 953,186 476,593 1,429,780 714,890 357,445 1,072,336 536,168 268,084 134,042 67,021 201,064 100,532 50,266 25,133 75,400 37,700 18,850 9,425 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553

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