4,352,472

2³ × 3² × 61 × 991

Starting at 4,352,472, the Collatz iteration reaches 1 after 211 steps. The first transition is 2176236; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 61 × 991

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,993,280

Proper Divisor Sum 7,640,808

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4352461 ← → #4352473

Radix Representation

Decimal	4352472
Binary	10000100110100111011000 (23 bits)
Octal	0o20464730
Hexadecimal	0x4269D8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 991 1,098 1,464 1,982 2,196 2,973 3,964 4,392 5,946 7,928 8,919 11,892 17,838 23,784 35,676 60,451 71,352 120,902 181,353 241,804 362,706 483,608 544,059 725,412 1,088,118 1,450,824 2,176,236 4,352,472

Collatz Trajectory (211 steps to reach 1)

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

4,352,472 2,176,236 1,088,118 544,059 1,632,178 816,089 2,448,268 1,224,134 612,067 1,836,202 918,101 2,754,304 1,377,152 688,576 344,288 172,144 86,072 43,036 21,518 10,759 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607

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