6,413,811

3 × 17 × 19 × 6619

Starting at 6,413,811, the Collatz iteration reaches 1 after 240 steps. The first transition is 19241434; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 19 × 6619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,532,800

Proper Divisor Sum 3,118,989

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6413809 ← → #6413821

Radix Representation

Decimal	6413811
Binary	11000011101110111110011 (23 bits)
Octal	0o30356763
Hexadecimal	0x61DDF3

Divisor Catalog (16)

1 3 17 19 51 57 323 969 6,619 19,857 112,523 125,761 337,569 377,283 2,137,937 6,413,811

Collatz Trajectory (240 steps to reach 1)

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

6,413,811 19,241,434 9,620,717 28,862,152 14,431,076 7,215,538 3,607,769 10,823,308 5,411,654 2,705,827 8,117,482 4,058,741 12,176,224 6,088,112 3,044,056 1,522,028 761,014 380,507 1,141,522 570,761 1,712,284 856,142 428,071 1,284,214 642,107 1,926,322 963,161 2,889,484 1,444,742 722,371 2,167,114 1,083,557 3,250,672 1,625,336 812,668 406,334 203,167 609,502 304,751 914,254 457,127 1,371,382 685,691 2,057,074 1,028,537 3,085,612 1,542,806 771,403 2,314,210 1,157,105 3,471,316 1,735,658 867,829 2,603,488 1,301,744 650,872 325,436 162,718 81,359 244,078

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