λ
Sequence Observatory

3,707,451

35 × 11 × 19 × 73
Deficient Odd Composite

Starting at 3,707,451, the Collatz iteration reaches 1 after 234 steps. The first transition is 11122354; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 11 × 19 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,464,640
Proper Divisor Sum 2,757,189
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3707449 ← → #3707453

Radix Representation

Decimal 3707451
Binary 1110001001001000111011 (22 bits)
Octal 0o16111073
Hexadecimal 0x38923B

Divisor Catalog (48)

1 3 9 11 19 27 33 57 73 81 99 171 209 219 243 297 513 627 657 803 891 1,387 1,539 1,881 1,971 2,409 2,673 4,161 4,617 5,643 5,913 7,227 12,483 15,257 16,929 17,739 21,681 37,449 45,771 50,787 65,043 112,347 137,313 195,129 337,041 411,939 1,235,817 3,707,451

Collatz Trajectory (234 steps to reach 1)

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

3,707,451 11,122,354 5,561,177 16,683,532 8,341,766 4,170,883 12,512,650 6,256,325 18,768,976 9,384,488 4,692,244 2,346,122 1,173,061 3,519,184 1,759,592 879,796 439,898 219,949 659,848 329,924 164,962 82,481 247,444 123,722 61,861 185,584 92,792 46,396 23,198 11,599 34,798 17,399 52,198 26,099 78,298 39,149 117,448 58,724 29,362 14,681 44,044 22,022 11,011 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922

More profiles

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