λ
Sequence Observatory

7,756,712

23 × 19 × 51031
Deficient Even Composite

Starting at 7,756,712, the Collatz iteration reaches 1 after 54 steps. The first transition is 3878356; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 51031
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,309,600
Proper Divisor Sum 7,552,888
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7756703 ← → #7756733

Radix Representation

Decimal 7756712
Binary 11101100101101110101000 (23 bits)
Octal 0o35455650
Hexadecimal 0x765BA8

Divisor Catalog (16)

1 2 4 8 19 38 76 152 51,031 102,062 204,124 408,248 969,589 1,939,178 3,878,356 7,756,712

Collatz Trajectory (54 steps to reach 1)

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

7,756,712 3,878,356 1,939,178 969,589 2,908,768 1,454,384 727,192 363,596 181,798 90,899 272,698 136,349 409,048 204,524 102,262 51,131 153,394 76,697 230,092 115,046 57,523 172,570 86,285 258,856 129,428 64,714 32,357 97,072 48,536 24,268 12,134 6,067 18,202 9,101 27,304 13,652 6,826 3,413 10,240 5,120 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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