λ
Sequence Observatory

3,661,975

52 × 29 × 5051
Deficient Odd Composite

Starting at 3,661,975, the Collatz iteration reaches 1 after 58 steps. The first transition is 10985926; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 29 × 5051
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,698,360
Proper Divisor Sum 1,036,385
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3661963 ← → #3661979

Radix Representation

Decimal 3661975
Binary 1101111110000010010111 (22 bits)
Octal 0o15760227
Hexadecimal 0x37E097

Divisor Catalog (12)

1 5 25 29 145 725 5,051 25,255 126,275 146,479 732,395 3,661,975

Collatz Trajectory (58 steps to reach 1)

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

3,661,975 10,985,926 5,492,963 16,478,890 8,239,445 24,718,336 12,359,168 6,179,584 3,089,792 1,544,896 772,448 386,224 193,112 96,556 48,278 24,139 72,418 36,209 108,628 54,314 27,157 81,472 40,736 20,368 10,184 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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