λ
Sequence Observatory

8,476,219

37 × 107 × 2141
Deficient Odd Composite

Starting at 8,476,219, the Collatz iteration reaches 1 after 106 steps. The first transition is 25428658; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 107 × 2141
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,790,768
Proper Divisor Sum 314,549
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8476199 ← → #8476231

Radix Representation

Decimal 8476219
Binary 100000010101011000111011 (24 bits)
Octal 0o40253073
Hexadecimal 0x81563B

Divisor Catalog (8)

1 37 107 2,141 3,959 79,217 229,087 8,476,219

Collatz Trajectory (106 steps to reach 1)

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

8,476,219 25,428,658 12,714,329 38,142,988 19,071,494 9,535,747 28,607,242 14,303,621 42,910,864 21,455,432 10,727,716 5,363,858 2,681,929 8,045,788 4,022,894 2,011,447 6,034,342 3,017,171 9,051,514 4,525,757 13,577,272 6,788,636 3,394,318 1,697,159 5,091,478 2,545,739 7,637,218 3,818,609 11,455,828 5,727,914 2,863,957 8,591,872 4,295,936 2,147,968 1,073,984 536,992 268,496 134,248 67,124 33,562 16,781 50,344 25,172 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498

More profiles

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