4,182,453

3² × 11 × 83 × 509

Starting at 4,182,453, the Collatz iteration reaches 1 after 180 steps. The first transition is 12547360; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 83 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,683,040

Proper Divisor Sum 2,500,587

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4182433 ← → #4182461

Radix Representation

Decimal	4182453
Binary	1111111101000110110101 (22 bits)
Octal	0o17750665
Hexadecimal	0x3FD1B5

Divisor Catalog (24)

1 3 9 11 33 83 99 249 509 747 913 1,527 2,739 4,581 5,599 8,217 16,797 42,247 50,391 126,741 380,223 464,717 1,394,151 4,182,453

Collatz Trajectory (180 steps to reach 1)

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

4,182,453 12,547,360 6,273,680 3,136,840 1,568,420 784,210 392,105 1,176,316 588,158 294,079 882,238 441,119 1,323,358 661,679 1,985,038 992,519 2,977,558 1,488,779 4,466,338 2,233,169 6,699,508 3,349,754 1,674,877 5,024,632 2,512,316 1,256,158 628,079 1,884,238 942,119 2,826,358 1,413,179 4,239,538 2,119,769 6,359,308 3,179,654 1,589,827 4,769,482 2,384,741 7,154,224 3,577,112 1,788,556 894,278 447,139 1,341,418 670,709 2,012,128 1,006,064 503,032 251,516 125,758 62,879 188,638 94,319 282,958 141,479 424,438 212,219 636,658 318,329 954,988

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