λ
Matchaa Zalai

7,288,393

7 × 17 × 73 × 839
Deficient Odd Composite

7,288,393 factors as 7 × 17 × 73 × 839. Its 16 positive divisors give a proper-divisor sum of 1,662,647, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 7 × 17 × 73 × 839
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,951,040
Proper Divisor Sum 1,662,647
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7288361 ← → #7288397

Radix Representation

Decimal 7288393
Binary 11011110011011001001001 (23 bits)
Octal 0o33633111
Hexadecimal 0x6F3649

Divisor Catalog (16)

1 7 17 73 119 511 839 1,241 5,873 8,687 14,263 61,247 99,841 428,729 1,041,199 7,288,393

Collatz Trajectory (222 steps to reach 1)

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

7,288,393 21,865,180 10,932,590 5,466,295 16,398,886 8,199,443 24,598,330 12,299,165 36,897,496 18,448,748 9,224,374 4,612,187 13,836,562 6,918,281 20,754,844 10,377,422 5,188,711 15,566,134 7,783,067 23,349,202 11,674,601 35,023,804 17,511,902 8,755,951 26,267,854 13,133,927 39,401,782 19,700,891 59,102,674 29,551,337 88,654,012 44,327,006 22,163,503 66,490,510 33,245,255 99,735,766 49,867,883 149,603,650 74,801,825 224,405,476 112,202,738 56,101,369 168,304,108 84,152,054 42,076,027 126,228,082 63,114,041 189,342,124 94,671,062 47,335,531 142,006,594 71,003,297 213,009,892 106,504,946 53,252,473 159,757,420 79,878,710 39,939,355 119,818,066 59,909,033

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