501,153

3 × 167051

501,153 factors as 3 × 167051. Its 4 positive divisors give a proper-divisor sum of 167,055, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3 × 167051

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 668,208

Proper Divisor Sum 167,055

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #501139 ← → #501157

Radix Representation

Decimal	501153
Binary	1111010010110100001 (19 bits)
Octal	0o1722641
Hexadecimal	0x7A5A1

Divisor Catalog (4)

1 3 167,051 501,153

Collatz Trajectory (138 steps to reach 1)

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

501,153 1,503,460 751,730 375,865 1,127,596 563,798 281,899 845,698 422,849 1,268,548 634,274 317,137 951,412 475,706 237,853 713,560 356,780 178,390 89,195 267,586 133,793 401,380 200,690 100,345 301,036 150,518 75,259 225,778 112,889 338,668 169,334 84,667 254,002 127,001 381,004 190,502 95,251 285,754 142,877 428,632 214,316 107,158 53,579 160,738 80,369 241,108 120,554 60,277 180,832 90,416 45,208 22,604 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179

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