152,675

5² × 31 × 197

152,675 factors as 5^2 × 31 × 197. Its 12 positive divisors give a proper-divisor sum of 43,741, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 5^2 × 31 × 197

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 196,416

Proper Divisor Sum 43,741

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #152671 ← → #152681

Radix Representation

Decimal	152675
Binary	100101010001100011 (18 bits)
Octal	0o452143
Hexadecimal	0x25463

Divisor Catalog (12)

1 5 25 31 155 197 775 985 4,925 6,107 30,535 152,675

Collatz Trajectory (95 steps to reach 1)

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

152,675 458,026 229,013 687,040 343,520 171,760 85,880 42,940 21,470 10,735 32,206 16,103 48,310 24,155 72,466 36,233 108,700 54,350 27,175 81,526 40,763 122,290 61,145 183,436 91,718 45,859 137,578 68,789 206,368 103,184 51,592 25,796 12,898 6,449 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830

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