4,652,600

2³ × 5² × 43 × 541

Starting at 4,652,600, the Collatz iteration reaches 1 after 162 steps. The first transition is 2326300; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 43 × 541

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,089,320

Proper Divisor Sum 6,436,720

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4652581 ← → #4652603

Radix Representation

Decimal	4652600
Binary	10001101111111000111000 (23 bits)
Octal	0o21577070
Hexadecimal	0x46FE38

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 541 860 1,075 1,082 1,720 2,150 2,164 2,705 4,300 4,328 5,410 8,600 10,820 13,525 21,640 23,263 27,050 46,526 54,100 93,052 108,200 116,315 186,104 232,630 465,260 581,575 930,520 1,163,150 2,326,300 4,652,600

Collatz Trajectory (162 steps to reach 1)

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

4,652,600 2,326,300 1,163,150 581,575 1,744,726 872,363 2,617,090 1,308,545 3,925,636 1,962,818 981,409 2,944,228 1,472,114 736,057 2,208,172 1,104,086 552,043 1,656,130 828,065 2,484,196 1,242,098 621,049 1,863,148 931,574 465,787 1,397,362 698,681 2,096,044 1,048,022 524,011 1,572,034 786,017 2,358,052 1,179,026 589,513 1,768,540 884,270 442,135 1,326,406 663,203 1,989,610 994,805 2,984,416 1,492,208 746,104 373,052 186,526 93,263 279,790 139,895 419,686 209,843 629,530 314,765 944,296 472,148 236,074 118,037 354,112 177,056

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