λ
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4,774,476

22 × 3 × 7 × 113 × 503
Abundant Even Composite

4,774,476 factors as 2^2 × 3 × 7 × 113 × 503. Its 48 positive divisors give a proper-divisor sum of 8,095,668, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 113 × 503
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,870,144
Proper Divisor Sum 8,095,668
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4774463 ← → #4774477

Radix Representation

Decimal 4774476
Binary 10010001101101001001100 (23 bits)
Octal 0o22155114
Hexadecimal 0x48DA4C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 503 678 791 1,006 1,356 1,509 1,582 2,012 2,373 3,018 3,164 3,521 4,746 6,036 7,042 9,492 10,563 14,084 21,126 42,252 56,839 113,678 170,517 227,356 341,034 397,873 682,068 795,746 1,193,619 1,591,492 2,387,238 4,774,476

Collatz Trajectory (100 steps to reach 1)

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

4,774,476 2,387,238 1,193,619 3,580,858 1,790,429 5,371,288 2,685,644 1,342,822 671,411 2,014,234 1,007,117 3,021,352 1,510,676 755,338 377,669 1,133,008 566,504 283,252 141,626 70,813 212,440 106,220 53,110 26,555 79,666 39,833 119,500 59,750 29,875 89,626 44,813 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844

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