λ
Sequence Observatory

4,537,535

5 × 907507
Deficient Odd Composite

Starting at 4,537,535, the Collatz iteration reaches 1 after 255 steps. The first transition is 13612606; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 907507
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,445,048
Proper Divisor Sum 907,513
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4537531 ← → #4537541

Radix Representation

Decimal 4537535
Binary 10001010011110010111111 (23 bits)
Octal 0o21236277
Hexadecimal 0x453CBF

Divisor Catalog (4)

1 5 907,507 4,537,535

Collatz Trajectory (255 steps to reach 1)

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

4,537,535 13,612,606 6,806,303 20,418,910 10,209,455 30,628,366 15,314,183 45,942,550 22,971,275 68,913,826 34,456,913 103,370,740 51,685,370 25,842,685 77,528,056 38,764,028 19,382,014 9,691,007 29,073,022 14,536,511 43,609,534 21,804,767 65,414,302 32,707,151 98,121,454 49,060,727 147,182,182 73,591,091 220,773,274 110,386,637 331,159,912 165,579,956 82,789,978 41,394,989 124,184,968 62,092,484 31,046,242 15,523,121 46,569,364 23,284,682 11,642,341 34,927,024 17,463,512 8,731,756 4,365,878 2,182,939 6,548,818 3,274,409 9,823,228 4,911,614 2,455,807 7,367,422 3,683,711 11,051,134 5,525,567 16,576,702 8,288,351 24,865,054 12,432,527 37,297,582

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