λ
Sequence Observatory

6,574,399

13 × 19 × 43 × 619
Deficient Odd Composite

Starting at 6,574,399, the Collatz iteration reaches 1 after 222 steps. The first transition is 19723198; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 13 × 19 × 43 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,638,400
Proper Divisor Sum 1,064,001
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6574357 ← → #6574423

Radix Representation

Decimal 6574399
Binary 11001000101000100111111 (23 bits)
Octal 0o31050477
Hexadecimal 0x64513F

Divisor Catalog (16)

1 13 19 43 247 559 619 817 8,047 10,621 11,761 26,617 152,893 346,021 505,723 6,574,399

Collatz Trajectory (222 steps to reach 1)

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

6,574,399 19,723,198 9,861,599 29,584,798 14,792,399 44,377,198 22,188,599 66,565,798 33,282,899 99,848,698 49,924,349 149,773,048 74,886,524 37,443,262 18,721,631 56,164,894 28,082,447 84,247,342 42,123,671 126,371,014 63,185,507 189,556,522 94,778,261 284,334,784 142,167,392 71,083,696 35,541,848 17,770,924 8,885,462 4,442,731 13,328,194 6,664,097 19,992,292 9,996,146 4,998,073 14,994,220 7,497,110 3,748,555 11,245,666 5,622,833 16,868,500 8,434,250 4,217,125 12,651,376 6,325,688 3,162,844 1,581,422 790,711 2,372,134 1,186,067 3,558,202 1,779,101 5,337,304 2,668,652 1,334,326 667,163 2,001,490 1,000,745 3,002,236 1,501,118

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