7,916,380

2² × 5 × 101 × 3919

Starting at 7,916,380, the Collatz iteration reaches 1 after 354 steps. The first transition is 3958190; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 101 × 3919

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,793,280

Proper Divisor Sum 8,876,900

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7916357 ← → #7916399

Radix Representation

Decimal	7916380
Binary	11110001100101101011100 (23 bits)
Octal	0o36145534
Hexadecimal	0x78CB5C

Divisor Catalog (24)

1 2 4 5 10 20 101 202 404 505 1,010 2,020 3,919 7,838 15,676 19,595 39,190 78,380 395,819 791,638 1,583,276 1,979,095 3,958,190 7,916,380

Collatz Trajectory (354 steps to reach 1)

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

7,916,380 3,958,190 1,979,095 5,937,286 2,968,643 8,905,930 4,452,965 13,358,896 6,679,448 3,339,724 1,669,862 834,931 2,504,794 1,252,397 3,757,192 1,878,596 939,298 469,649 1,408,948 704,474 352,237 1,056,712 528,356 264,178 132,089 396,268 198,134 99,067 297,202 148,601 445,804 222,902 111,451 334,354 167,177 501,532 250,766 125,383 376,150 188,075 564,226 282,113 846,340 423,170 211,585 634,756 317,378 158,689 476,068 238,034 119,017 357,052 178,526 89,263 267,790 133,895 401,686 200,843 602,530 301,265

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