λ
Prime Ledger

4,711,180

22 × 5 × 235559
Abundant Even Composite

4,711,180 has the prime decomposition 2^2 × 5 × 235559. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 235559
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,893,520
Proper Divisor Sum 5,182,340
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4711171 ← → #4711181

Radix Representation

Decimal 4711180
Binary 10001111110001100001100 (23 bits)
Octal 0o21761414
Hexadecimal 0x47E30C

Divisor Catalog (12)

1 2 4 5 10 20 235,559 471,118 942,236 1,177,795 2,355,590 4,711,180

Collatz Trajectory (131 steps to reach 1)

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

4,711,180 2,355,590 1,177,795 3,533,386 1,766,693 5,300,080 2,650,040 1,325,020 662,510 331,255 993,766 496,883 1,490,650 745,325 2,235,976 1,117,988 558,994 279,497 838,492 419,246 209,623 628,870 314,435 943,306 471,653 1,414,960 707,480 353,740 176,870 88,435 265,306 132,653 397,960 198,980 99,490 49,745 149,236 74,618 37,309 111,928 55,964 27,982 13,991 41,974 20,987 62,962 31,481 94,444 47,222 23,611 70,834 35,417 106,252 53,126 26,563 79,690 39,845 119,536 59,768 29,884

More profiles

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