λ
Sequence Observatory

3,374,627

503 × 6709
Deficient Odd Composite

Starting at 3,374,627, the Collatz iteration reaches 1 after 133 steps. The first transition is 10123882; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 503 × 6709
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,381,840
Proper Divisor Sum 7,213
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3374621 ← → #3374671

Radix Representation

Decimal 3374627
Binary 1100110111111000100011 (22 bits)
Octal 0o14677043
Hexadecimal 0x337E23

Divisor Catalog (4)

1 503 6,709 3,374,627

Collatz Trajectory (133 steps to reach 1)

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

3,374,627 10,123,882 5,061,941 15,185,824 7,592,912 3,796,456 1,898,228 949,114 474,557 1,423,672 711,836 355,918 177,959 533,878 266,939 800,818 400,409 1,201,228 600,614 300,307 900,922 450,461 1,351,384 675,692 337,846 168,923 506,770 253,385 760,156 380,078 190,039 570,118 285,059 855,178 427,589 1,282,768 641,384 320,692 160,346 80,173 240,520 120,260 60,130 30,065 90,196 45,098 22,549 67,648 33,824 16,912 8,456 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595

More profiles

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