4,618,900

2² × 5² × 11 × 13 × 17 × 19

Starting at 4,618,900, the Collatz iteration reaches 1 after 237 steps. The first transition is 2309450; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 13 × 17 × 19

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 13,124,160

Proper Divisor Sum 8,505,260

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4618879 ← → #4618921

Radix Representation

Decimal	4618900
Binary	10001100111101010010100 (23 bits)
Octal	0o21475224
Hexadecimal	0x467A94

Divisor Catalog (60 of 144)

1 2 4 5 10 11 13 17 19 20 22 25 26 34 38 44 50 52 55 65 68 76 85 95 100 110 130 143 170 187 190 209 220 221 247 260 275 286 323 325 340 374 380 418 425 442 475 494 550 572 646 650 715 748 836 850 884 935 950 988

Collatz Trajectory (237 steps to reach 1)

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

4,618,900 2,309,450 1,154,725 3,464,176 1,732,088 866,044 433,022 216,511 649,534 324,767 974,302 487,151 1,461,454 730,727 2,192,182 1,096,091 3,288,274 1,644,137 4,932,412 2,466,206 1,233,103 3,699,310 1,849,655 5,548,966 2,774,483 8,323,450 4,161,725 12,485,176 6,242,588 3,121,294 1,560,647 4,681,942 2,340,971 7,022,914 3,511,457 10,534,372 5,267,186 2,633,593 7,900,780 3,950,390 1,975,195 5,925,586 2,962,793 8,888,380 4,444,190 2,222,095 6,666,286 3,333,143 9,999,430 4,999,715 14,999,146 7,499,573 22,498,720 11,249,360 5,624,680 2,812,340 1,406,170 703,085 2,109,256 1,054,628

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