6,465,940

2² × 5 × 13² × 1913

Starting at 6,465,940, the Collatz iteration reaches 1 after 121 steps. The first transition is 3232970; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 1913

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,711,004

Proper Divisor Sum 8,245,064

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6465937 ← → #6465941

Radix Representation

Decimal	6465940
Binary	11000101010100110010100 (23 bits)
Octal	0o30524624
Hexadecimal	0x62A994

Divisor Catalog (36)

1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1,690 1,913 3,380 3,826 7,652 9,565 19,130 24,869 38,260 49,738 99,476 124,345 248,690 323,297 497,380 646,594 1,293,188 1,616,485 3,232,970 6,465,940

Collatz Trajectory (121 steps to reach 1)

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

6,465,940 3,232,970 1,616,485 4,849,456 2,424,728 1,212,364 606,182 303,091 909,274 454,637 1,363,912 681,956 340,978 170,489 511,468 255,734 127,867 383,602 191,801 575,404 287,702 143,851 431,554 215,777 647,332 323,666 161,833 485,500 242,750 121,375 364,126 182,063 546,190 273,095 819,286 409,643 1,228,930 614,465 1,843,396 921,698 460,849 1,382,548 691,274 345,637 1,036,912 518,456 259,228 129,614 64,807 194,422 97,211 291,634 145,817 437,452 218,726 109,363 328,090 164,045 492,136 246,068

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