1,602,872

2³ × 191 × 1049

Starting at 1,602,872, the Collatz iteration reaches 1 after 93 steps. The first transition is 801436; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 191 × 1049

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,024,000

Proper Divisor Sum 1,421,128

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1602869 ← → #1602883

Radix Representation

Decimal	1602872
Binary	110000111010100111000 (21 bits)
Octal	0o6072470
Hexadecimal	0x187538

Divisor Catalog (16)

1 2 4 8 191 382 764 1,049 1,528 2,098 4,196 8,392 200,359 400,718 801,436 1,602,872

Collatz Trajectory (93 steps to reach 1)

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

1,602,872 801,436 400,718 200,359 601,078 300,539 901,618 450,809 1,352,428 676,214 338,107 1,014,322 507,161 1,521,484 760,742 380,371 1,141,114 570,557 1,711,672 855,836 427,918 213,959 641,878 320,939 962,818 481,409 1,444,228 722,114 361,057 1,083,172 541,586 270,793 812,380 406,190 203,095 609,286 304,643 913,930 456,965 1,370,896 685,448 342,724 171,362 85,681 257,044 128,522 64,261 192,784 96,392 48,196 24,098 12,049 36,148 18,074 9,037 27,112 13,556 6,778 3,389 10,168

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