λ
Prime Ledger

372,848

24 × 7 × 3329
Abundant Even Composite

372,848 has the prime decomposition 2^4 × 7 × 3329. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 3329
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 825,840
Proper Divisor Sum 452,992
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #372847 ← → #372859

Radix Representation

Decimal 372848
Binary 1011011000001110000 (19 bits)
Octal 0o1330160
Hexadecimal 0x5B070

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 3,329 6,658 13,316 23,303 26,632 46,606 53,264 93,212 186,424 372,848

Collatz Trajectory (117 steps to reach 1)

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

372,848 186,424 93,212 46,606 23,303 69,910 34,955 104,866 52,433 157,300 78,650 39,325 117,976 58,988 29,494 14,747 44,242 22,121 66,364 33,182 16,591 49,774 24,887 74,662 37,331 111,994 55,997 167,992 83,996 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157

More profiles

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