100,245

3 × 5 × 41 × 163

Starting at 100,245, the Collatz iteration reaches 1 after 89 steps. The first transition is 300736; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 41 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 165,312

Proper Divisor Sum 65,067

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #100237 ← → #100267

Radix Representation

Decimal	100245
Binary	11000011110010101 (17 bits)
Octal	0o303625
Hexadecimal	0x18795

Divisor Catalog (16)

1 3 5 15 41 123 163 205 489 615 815 2,445 6,683 20,049 33,415 100,245

Collatz Trajectory (89 steps to reach 1)

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

100,245 300,736 150,368 75,184 37,592 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820

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