535,950

2 × 3³ × 5² × 397

Starting at 535,950, the Collatz iteration reaches 1 after 115 steps. The first transition is 267975; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 397

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,480,560

Proper Divisor Sum 944,610

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #535943 ← → #535957

Radix Representation

Decimal	535950
Binary	10000010110110001110 (20 bits)
Octal	0o2026616
Hexadecimal	0x82D8E

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 397 450 675 794 1,191 1,350 1,985 2,382 3,573 3,970 5,955 7,146 9,925 10,719 11,910 17,865 19,850 21,438 29,775 35,730 53,595 59,550 89,325 107,190 178,650 267,975 535,950

Collatz Trajectory (115 steps to reach 1)

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

535,950 267,975 803,926 401,963 1,205,890 602,945 1,808,836 904,418 452,209 1,356,628 678,314 339,157 1,017,472 508,736 254,368 127,184 63,592 31,796 15,898 7,949 23,848 11,924 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569

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