λ
Sequence Observatory

1,903,513

1903513
Deficient Odd Prime

Starting at 1,903,513, the Collatz iteration reaches 1 after 171 steps. The first transition is 5710540; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1903513
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,903,514
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1903511 ← → #1903529

Radix Representation

Decimal 1903513
Binary 111010000101110011001 (21 bits)
Octal 0o7205631
Hexadecimal 0x1D0B99

Divisor Catalog (2)

Collatz Trajectory (171 steps to reach 1)

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

1,903,513 5,710,540 2,855,270 1,427,635 4,282,906 2,141,453 6,424,360 3,212,180 1,606,090 803,045 2,409,136 1,204,568 602,284 301,142 150,571 451,714 225,857 677,572 338,786 169,393 508,180 254,090 127,045 381,136 190,568 95,284 47,642 23,821 71,464 35,732 17,866 8,933 26,800 13,400 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337

More profiles

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