712,453

7 × 17 × 5987

712,453 factors as 7 × 17 × 5987. Its 8 positive divisors give a proper-divisor sum of 149,819, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 7 × 17 × 5987

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 862,272

Proper Divisor Sum 149,819

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #712447 ← → #712477

Radix Representation

Decimal	712453
Binary	10101101111100000101 (20 bits)
Octal	0o2557405
Hexadecimal	0xADF05

Divisor Catalog (8)

1 7 17 119 5,987 41,909 101,779 712,453

Collatz Trajectory (79 steps to reach 1)

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

712,453 2,137,360 1,068,680 534,340 267,170 133,585 400,756 200,378 100,189 300,568 150,284 75,142 37,571 112,714 56,357 169,072 84,536 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522

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