497,147

7 × 29 × 31 × 79

497,147 factors as 7 × 29 × 31 × 79. Its 16 positive divisors give a proper-divisor sum of 117,253, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 7 × 29 × 31 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 614,400

Proper Divisor Sum 117,253

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #497141 ← → #497153

Radix Representation

Decimal	497147
Binary	1111001010111111011 (19 bits)
Octal	0o1712773
Hexadecimal	0x795FB

Divisor Catalog (16)

1 7 29 31 79 203 217 553 899 2,291 2,449 6,293 16,037 17,143 71,021 497,147

Collatz Trajectory (164 steps to reach 1)

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

497,147 1,491,442 745,721 2,237,164 1,118,582 559,291 1,677,874 838,937 2,516,812 1,258,406 629,203 1,887,610 943,805 2,831,416 1,415,708 707,854 353,927 1,061,782 530,891 1,592,674 796,337 2,389,012 1,194,506 597,253 1,791,760 895,880 447,940 223,970 111,985 335,956 167,978 83,989 251,968 125,984 62,992 31,496 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934

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