λ
Prime Ledger

373,016

23 × 7 × 6661
Abundant Even Composite

373,016 has the prime decomposition 2^3 × 7 × 6661. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 6661
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 799,440
Proper Divisor Sum 426,424
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #373007 ← → #373019

Radix Representation

Decimal 373016
Binary 1011011000100011000 (19 bits)
Octal 0o1330430
Hexadecimal 0x5B118

Divisor Catalog (16)

1 2 4 7 8 14 28 56 6,661 13,322 26,644 46,627 53,288 93,254 186,508 373,016

Collatz Trajectory (117 steps to reach 1)

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

373,016 186,508 93,254 46,627 139,882 69,941 209,824 104,912 52,456 26,228 13,114 6,557 19,672 9,836 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215

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