λ
Prime Ledger

373,748

22 × 223 × 419
Deficient Even Composite

373,748 has the prime decomposition 2^2 × 223 × 419. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 223 × 419
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 658,560
Proper Divisor Sum 284,812
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #373721 ← → #373753

Radix Representation

Decimal 373748
Binary 1011011001111110100 (19 bits)
Octal 0o1331764
Hexadecimal 0x5B3F4

Divisor Catalog (12)

1 2 4 223 419 446 838 892 1,676 93,437 186,874 373,748

Collatz Trajectory (86 steps to reach 1)

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

373,748 186,874 93,437 280,312 140,156 70,078 35,039 105,118 52,559 157,678 78,839 236,518 118,259 354,778 177,389 532,168 266,084 133,042 66,521 199,564 99,782 49,891 149,674 74,837 224,512 112,256 56,128 28,064 14,032 7,016 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67

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