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Atlas › Integer Profiles › Node 42,229,348

42,229,348

22 × 7 × 449 × 3359
Abundant Even Composite

42,229,348 factors as 2^2 × 7 × 449 × 3359. Its 24 positive divisors give a proper-divisor sum of 42,442,652, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 449 × 3359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 84,672,000
Proper Divisor Sum 42,442,652
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #42229339 ← → #42229351

Radix Representation

Decimal 42229348
Binary 10100001000101111001100100 (26 bits)
Octal 0o241057144
Hexadecimal 0x2845E64

Divisor Catalog (24)

1 2 4 7 14 28 449 898 1,796 3,143 3,359 6,286 6,718 12,572 13,436 23,513 47,026 94,052 1,508,191 3,016,382 6,032,764 10,557,337 21,114,674 42,229,348

Collatz Trajectory (222 steps to reach 1)

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

42,229,348 21,114,674 10,557,337 31,672,012 15,836,006 7,918,003 23,754,010 11,877,005 35,631,016 17,815,508 8,907,754 4,453,877 13,361,632 6,680,816 3,340,408 1,670,204 835,102 417,551 1,252,654 626,327 1,878,982 939,491 2,818,474 1,409,237 4,227,712 2,113,856 1,056,928 528,464 264,232 132,116 66,058 33,029 99,088 49,544 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451

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