4,762,273

41² × 2833

Starting at 4,762,273, the Collatz iteration reaches 1 after 237 steps. The first transition is 14286820; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 41^2 × 2833

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,882,982

Proper Divisor Sum 120,709

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4762271 ← → #4762309

Radix Representation

Decimal	4762273
Binary	10010001010101010100001 (23 bits)
Octal	0o22125241
Hexadecimal	0x48AAA1

Divisor Catalog (6)

1 41 1,681 2,833 116,153 4,762,273

Collatz Trajectory (237 steps to reach 1)

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

4,762,273 14,286,820 7,143,410 3,571,705 10,715,116 5,357,558 2,678,779 8,036,338 4,018,169 12,054,508 6,027,254 3,013,627 9,040,882 4,520,441 13,561,324 6,780,662 3,390,331 10,170,994 5,085,497 15,256,492 7,628,246 3,814,123 11,442,370 5,721,185 17,163,556 8,581,778 4,290,889 12,872,668 6,436,334 3,218,167 9,654,502 4,827,251 14,481,754 7,240,877 21,722,632 10,861,316 5,430,658 2,715,329 8,145,988 4,072,994 2,036,497 6,109,492 3,054,746 1,527,373 4,582,120 2,291,060 1,145,530 572,765 1,718,296 859,148 429,574 214,787 644,362 322,181 966,544 483,272 241,636 120,818 60,409 181,228

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