132,013

7 × 18859

132,013 factors as 7 × 18859. Its 4 positive divisors give a proper-divisor sum of 18,867, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 7 × 18859

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 150,880

Proper Divisor Sum 18,867

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #132001 ← → #132019

Radix Representation

Decimal	132013
Binary	100000001110101101 (18 bits)
Octal	0o401655
Hexadecimal	0x203AD

Divisor Catalog (4)

1 7 18,859 132,013

Collatz Trajectory (74 steps to reach 1)

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

132,013 396,040 198,020 99,010 49,505 148,516 74,258 37,129 111,388 55,694 27,847 83,542 41,771 125,314 62,657 187,972 93,986 46,993 140,980 70,490 35,245 105,736 52,868 26,434 13,217 39,652 19,826 9,913 29,740 14,870 7,435 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140

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