λ
Prime Ledger

373,648

24 × 112 × 193
Abundant Even Composite

373,648 has the prime decomposition 2^4 × 11^2 × 193. Its 3 distinct prime factors produce 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11^2 × 193
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 799,862
Proper Divisor Sum 426,214
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #373631 ← → #373649

Radix Representation

Decimal 373648
Binary 1011011001110010000 (19 bits)
Octal 0o1331620
Hexadecimal 0x5B390

Divisor Catalog (30)

1 2 4 8 11 16 22 44 88 121 176 193 242 386 484 772 968 1,544 1,936 2,123 3,088 4,246 8,492 16,984 23,353 33,968 46,706 93,412 186,824 373,648

Collatz Trajectory (210 steps to reach 1)

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

373,648 186,824 93,412 46,706 23,353 70,060 35,030 17,515 52,546 26,273 78,820 39,410 19,705 59,116 29,558 14,779 44,338 22,169 66,508 33,254 16,627 49,882 24,941 74,824 37,412 18,706 9,353 28,060 14,030 7,015 21,046 10,523 31,570 15,785 47,356 23,678 11,839 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371

More profiles

← Previous Integer #373,647 Browse Full Index Next Integer #373,649 →