4,656,010

2 × 5 × 563 × 827

4,656,010 factors as 2 × 5 × 563 × 827. Its 16 positive divisors give a proper-divisor sum of 3,749,846, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2 × 5 × 563 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,405,856

Proper Divisor Sum 3,749,846

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4655971 ← → #4656053

Radix Representation

Decimal	4656010
Binary	10001110000101110001010 (23 bits)
Octal	0o21605612
Hexadecimal	0x470B8A

Divisor Catalog (16)

1 2 5 10 563 827 1,126 1,654 2,815 4,135 5,630 8,270 465,601 931,202 2,328,005 4,656,010

Collatz Trajectory (74 steps to reach 1)

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

4,656,010 2,328,005 6,984,016 3,492,008 1,746,004 873,002 436,501 1,309,504 654,752 327,376 163,688 81,844 40,922 20,461 61,384 30,692 15,346 7,673 23,020 11,510 5,755 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23

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