507,616

2⁵ × 29 × 547

507,616 is even and not a perfect square. Its factorization is 2^5 × 29 × 547 and its 24 divisors sum to 1,035,720.

Prime Factor Structure

Factorization String 2^5 × 29 × 547

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,035,720

Proper Divisor Sum 528,104

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #507607 ← → #507631

Radix Representation

Decimal	507616
Binary	1111011111011100000 (19 bits)
Octal	0o1737340
Hexadecimal	0x7BEE0

Divisor Catalog (24)

1 2 4 8 16 29 32 58 116 232 464 547 928 1,094 2,188 4,376 8,752 15,863 17,504 31,726 63,452 126,904 253,808 507,616

Collatz Trajectory (81 steps to reach 1)

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

507,616 253,808 126,904 63,452 31,726 15,863 47,590 23,795 71,386 35,693 107,080 53,540 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226

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