λ
Sequence Observatory

1,693,453

372 × 1237
Deficient Odd Composite

Starting at 1,693,453, the Collatz iteration reaches 1 after 83 steps. The first transition is 5080360; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 37^2 × 1237
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,741,866
Proper Divisor Sum 48,413
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1693441 ← → #1693493

Radix Representation

Decimal 1693453
Binary 110011101011100001101 (21 bits)
Octal 0o6353415
Hexadecimal 0x19D70D

Divisor Catalog (6)

1 37 1,237 1,369 45,769 1,693,453

Collatz Trajectory (83 steps to reach 1)

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

1,693,453 5,080,360 2,540,180 1,270,090 635,045 1,905,136 952,568 476,284 238,142 119,071 357,214 178,607 535,822 267,911 803,734 401,867 1,205,602 602,801 1,808,404 904,202 452,101 1,356,304 678,152 339,076 169,538 84,769 254,308 127,154 63,577 190,732 95,366 47,683 143,050 71,525 214,576 107,288 53,644 26,822 13,411 40,234 20,117 60,352 30,176 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792

More profiles

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