497,744

2⁴ × 13 × 2393

497,744 has digital root 8. The neighboring primes are 497741 and 497771; its proper-divisor sum differs from the starting integer by 43,508.

Prime Factor Structure

Factorization String 2^4 × 13 × 2393

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,038,996

Proper Divisor Sum 541,252

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #497741 ← → #497771

Radix Representation

Decimal	497744
Binary	1111001100001010000 (19 bits)
Octal	0o1714120
Hexadecimal	0x79850

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 2,393 4,786 9,572 19,144 31,109 38,288 62,218 124,436 248,872 497,744

Collatz Trajectory (89 steps to reach 1)

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

497,744 248,872 124,436 62,218 31,109 93,328 46,664 23,332 11,666 5,833 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89

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