λ
Zalai Atlas

7,417,244

22 × 53 × 59 × 593
Deficient Even Composite

7,417,244 has the prime decomposition 2^2 × 53 × 59 × 593. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 53 × 59 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,471,920
Proper Divisor Sum 6,054,676
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7417237 ← → #7417259

Radix Representation

Decimal 7417244
Binary 11100010010110110011100 (23 bits)
Octal 0o34226634
Hexadecimal 0x712D9C

Divisor Catalog (24)

1 2 4 53 59 106 118 212 236 593 1,186 2,372 3,127 6,254 12,508 31,429 34,987 62,858 69,974 125,716 139,948 1,854,311 3,708,622 7,417,244

Collatz Trajectory (142 steps to reach 1)

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

7,417,244 3,708,622 1,854,311 5,562,934 2,781,467 8,344,402 4,172,201 12,516,604 6,258,302 3,129,151 9,387,454 4,693,727 14,081,182 7,040,591 21,121,774 10,560,887 31,682,662 15,841,331 47,523,994 23,761,997 71,285,992 35,642,996 17,821,498 8,910,749 26,732,248 13,366,124 6,683,062 3,341,531 10,024,594 5,012,297 15,036,892 7,518,446 3,759,223 11,277,670 5,638,835 16,916,506 8,458,253 25,374,760 12,687,380 6,343,690 3,171,845 9,515,536 4,757,768 2,378,884 1,189,442 594,721 1,784,164 892,082 446,041 1,338,124 669,062 334,531 1,003,594 501,797 1,505,392 752,696 376,348 188,174 94,087 282,262

More profiles

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