λ
Sequence Observatory

6,368,904

23 × 32 × 53 × 1669
Abundant Even Composite

Starting at 6,368,904, the Collatz iteration reaches 1 after 103 steps. The first transition is 3184452; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 53 × 1669
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,585,100
Proper Divisor Sum 11,216,196
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6368881 ← → #6368917

Radix Representation

Decimal 6368904
Binary 11000010010111010001000 (23 bits)
Octal 0o30227210
Hexadecimal 0x612E88

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1,272 1,669 1,908 3,338 3,816 5,007 6,676 10,014 13,352 15,021 20,028 30,042 40,056 60,084 88,457 120,168 176,914 265,371 353,828 530,742 707,656 796,113 1,061,484 1,592,226 2,122,968 3,184,452 6,368,904

Collatz Trajectory (103 steps to reach 1)

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

6,368,904 3,184,452 1,592,226 796,113 2,388,340 1,194,170 597,085 1,791,256 895,628 447,814 223,907 671,722 335,861 1,007,584 503,792 251,896 125,948 62,974 31,487 94,462 47,231 141,694 70,847 212,542 106,271 318,814 159,407 478,222 239,111 717,334 358,667 1,076,002 538,001 1,614,004 807,002 403,501 1,210,504 605,252 302,626 151,313 453,940 226,970 113,485 340,456 170,228 85,114 42,557 127,672 63,836 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733

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