4,524,952

2³ × 37 × 15287

Starting at 4,524,952, the Collatz iteration reaches 1 after 286 steps. The first transition is 2262476; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 37 × 15287

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,714,160

Proper Divisor Sum 4,189,208

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4524931 ← → #4524959

Radix Representation

Decimal	4524952
Binary	10001010000101110011000 (23 bits)
Octal	0o21205630
Hexadecimal	0x450B98

Divisor Catalog (16)

1 2 4 8 37 74 148 296 15,287 30,574 61,148 122,296 565,619 1,131,238 2,262,476 4,524,952

Collatz Trajectory (286 steps to reach 1)

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

4,524,952 2,262,476 1,131,238 565,619 1,696,858 848,429 2,545,288 1,272,644 636,322 318,161 954,484 477,242 238,621 715,864 357,932 178,966 89,483 268,450 134,225 402,676 201,338 100,669 302,008 151,004 75,502 37,751 113,254 56,627 169,882 84,941 254,824 127,412 63,706 31,853 95,560 47,780 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089 459,268 229,634 114,817 344,452 172,226

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