2,387,684

2² × 13 × 17 × 37 × 73

Starting at 2,387,684, the Collatz iteration reaches 1 after 161 steps. The first transition is 1193842; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 37 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,960,368

Proper Divisor Sum 2,572,684

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #2387629 ← → #2387687

Radix Representation

Decimal	2387684
Binary	1001000110111011100100 (22 bits)
Octal	0o11067344
Hexadecimal	0x246EE4

Divisor Catalog (48)

1 2 4 13 17 26 34 37 52 68 73 74 146 148 221 292 442 481 629 884 949 962 1,241 1,258 1,898 1,924 2,482 2,516 2,701 3,796 4,964 5,402 8,177 10,804 16,133 16,354 32,266 32,708 35,113 45,917 64,532 70,226 91,834 140,452 183,668 596,921 1,193,842 2,387,684

Collatz Trajectory (161 steps to reach 1)

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

2,387,684 1,193,842 596,921 1,790,764 895,382 447,691 1,343,074 671,537 2,014,612 1,007,306 503,653 1,510,960 755,480 377,740 188,870 94,435 283,306 141,653 424,960 212,480 106,240 53,120 26,560 13,280 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71

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