λ
Sequence Observatory

3,825,707

19 × 271 × 743
Deficient Odd Composite

Starting at 3,825,707, the Collatz iteration reaches 1 after 203 steps. The first transition is 11477122; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 271 × 743
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,047,360
Proper Divisor Sum 221,653
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3825691 ← → #3825713

Radix Representation

Decimal 3825707
Binary 1110100110000000101011 (22 bits)
Octal 0o16460053
Hexadecimal 0x3A602B

Divisor Catalog (8)

1 19 271 743 5,149 14,117 201,353 3,825,707

Collatz Trajectory (203 steps to reach 1)

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

3,825,707 11,477,122 5,738,561 17,215,684 8,607,842 4,303,921 12,911,764 6,455,882 3,227,941 9,683,824 4,841,912 2,420,956 1,210,478 605,239 1,815,718 907,859 2,723,578 1,361,789 4,085,368 2,042,684 1,021,342 510,671 1,532,014 766,007 2,298,022 1,149,011 3,447,034 1,723,517 5,170,552 2,585,276 1,292,638 646,319 1,938,958 969,479 2,908,438 1,454,219 4,362,658 2,181,329 6,543,988 3,271,994 1,635,997 4,907,992 2,453,996 1,226,998 613,499 1,840,498 920,249 2,760,748 1,380,374 690,187 2,070,562 1,035,281 3,105,844 1,552,922 776,461 2,329,384 1,164,692 582,346 291,173 873,520

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