3,878,774

2 × 19 × 103 × 991

Starting at 3,878,774, the Collatz iteration reaches 1 after 172 steps. The first transition is 1939387; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 103 × 991

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,190,080

Proper Divisor Sum 2,311,306

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #3878773 ← → #3878783

Radix Representation

Decimal	3878774
Binary	1110110010111101110110 (22 bits)
Octal	0o16627566
Hexadecimal	0x3B2F76

Divisor Catalog (16)

1 2 19 38 103 206 991 1,957 1,982 3,914 18,829 37,658 102,073 204,146 1,939,387 3,878,774

Collatz Trajectory (172 steps to reach 1)

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

3,878,774 1,939,387 5,818,162 2,909,081 8,727,244 4,363,622 2,181,811 6,545,434 3,272,717 9,818,152 4,909,076 2,454,538 1,227,269 3,681,808 1,840,904 920,452 460,226 230,113 690,340 345,170 172,585 517,756 258,878 129,439 388,318 194,159 582,478 291,239 873,718 436,859 1,310,578 655,289 1,965,868 982,934 491,467 1,474,402 737,201 2,211,604 1,105,802 552,901 1,658,704 829,352 414,676 207,338 103,669 311,008 155,504 77,752 38,876 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604

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