1,504,165

5 × 13 × 73 × 317

Starting at 1,504,165, the Collatz iteration reaches 1 after 111 steps. The first transition is 4512496; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 73 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,976,688

Proper Divisor Sum 472,523

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1504157 ← → #1504171

Radix Representation

Decimal	1504165
Binary	101101111001110100101 (21 bits)
Octal	0o5571645
Hexadecimal	0x16F3A5

Divisor Catalog (16)

1 5 13 65 73 317 365 949 1,585 4,121 4,745 20,605 23,141 115,705 300,833 1,504,165

Collatz Trajectory (111 steps to reach 1)

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

1,504,165 4,512,496 2,256,248 1,128,124 564,062 282,031 846,094 423,047 1,269,142 634,571 1,903,714 951,857 2,855,572 1,427,786 713,893 2,141,680 1,070,840 535,420 267,710 133,855 401,566 200,783 602,350 301,175 903,526 451,763 1,355,290 677,645 2,032,936 1,016,468 508,234 254,117 762,352 381,176 190,588 95,294 47,647 142,942 71,471 214,414 107,207 321,622 160,811 482,434 241,217 723,652 361,826 180,913 542,740 271,370 135,685 407,056 203,528 101,764 50,882 25,441 76,324 38,162 19,081 57,244

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