λ
Sequence Observatory

1,591,811

132 × 9419
Deficient Odd Composite

Starting at 1,591,811, the Collatz iteration reaches 1 after 70 steps. The first transition is 4775434; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 9419
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,723,860
Proper Divisor Sum 132,049
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1591787 ← → #1591813

Radix Representation

Decimal 1591811
Binary 110000100101000000011 (21 bits)
Octal 0o6045003
Hexadecimal 0x184A03

Divisor Catalog (6)

1 13 169 9,419 122,447 1,591,811

Collatz Trajectory (70 steps to reach 1)

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

1,591,811 4,775,434 2,387,717 7,163,152 3,581,576 1,790,788 895,394 447,697 1,343,092 671,546 335,773 1,007,320 503,660 251,830 125,915 377,746 188,873 566,620 283,310 141,655 424,966 212,483 637,450 318,725 956,176 478,088 239,044 119,522 59,761 179,284 89,642 44,821 134,464 67,232 33,616 16,808 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52

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