λ
Prime Ledger

490,748

22 × 79 × 1553
Deficient Even Composite

490,748 has the prime decomposition 2^2 × 79 × 1553. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 79 × 1553
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 870,240
Proper Divisor Sum 379,492
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #490741 ← → #490769

Radix Representation

Decimal 490748
Binary 1110111110011111100 (19 bits)
Octal 0o1676374
Hexadecimal 0x77CFC

Divisor Catalog (12)

1 2 4 79 158 316 1,553 3,106 6,212 122,687 245,374 490,748

Collatz Trajectory (94 steps to reach 1)

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

490,748 245,374 122,687 368,062 184,031 552,094 276,047 828,142 414,071 1,242,214 621,107 1,863,322 931,661 2,794,984 1,397,492 698,746 349,373 1,048,120 524,060 262,030 131,015 393,046 196,523 589,570 294,785 884,356 442,178 221,089 663,268 331,634 165,817 497,452 248,726 124,363 373,090 186,545 559,636 279,818 139,909 419,728 209,864 104,932 52,466 26,233 78,700 39,350 19,675 59,026 29,513 88,540 44,270 22,135 66,406 33,203 99,610 49,805 149,416 74,708 37,354 18,677

More profiles

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