3,852,478

2 × 7² × 19 × 2069

Starting at 3,852,478, the Collatz iteration reaches 1 after 216 steps. The first transition is 1926239; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 19 × 2069

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,079,400

Proper Divisor Sum 3,226,922

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3852451 ← → #3852487

Radix Representation

Decimal	3852478
Binary	1110101100100010111110 (22 bits)
Octal	0o16544276
Hexadecimal	0x3AC8BE

Divisor Catalog (24)

1 2 7 14 19 38 49 98 133 266 931 1,862 2,069 4,138 14,483 28,966 39,311 78,622 101,381 202,762 275,177 550,354 1,926,239 3,852,478

Collatz Trajectory (216 steps to reach 1)

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

3,852,478 1,926,239 5,778,718 2,889,359 8,668,078 4,334,039 13,002,118 6,501,059 19,503,178 9,751,589 29,254,768 14,627,384 7,313,692 3,656,846 1,828,423 5,485,270 2,742,635 8,227,906 4,113,953 12,341,860 6,170,930 3,085,465 9,256,396 4,628,198 2,314,099 6,942,298 3,471,149 10,413,448 5,206,724 2,603,362 1,301,681 3,905,044 1,952,522 976,261 2,928,784 1,464,392 732,196 366,098 183,049 549,148 274,574 137,287 411,862 205,931 617,794 308,897 926,692 463,346 231,673 695,020 347,510 173,755 521,266 260,633 781,900 390,950 195,475 586,426 293,213 879,640

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