7,876,650

2 × 3 × 5² × 52511

Starting at 7,876,650, the Collatz iteration reaches 1 after 67 steps. The first transition is 3938325; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 52511

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,534,464

Proper Divisor Sum 11,657,814

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7876643 ← → #7876663

Radix Representation

Decimal	7876650
Binary	11110000011000000101010 (23 bits)
Octal	0o36030052
Hexadecimal	0x78302A

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 52,511 105,022 157,533 262,555 315,066 525,110 787,665 1,312,775 1,575,330 2,625,550 3,938,325 7,876,650

Collatz Trajectory (67 steps to reach 1)

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

7,876,650 3,938,325 11,814,976 5,907,488 2,953,744 1,476,872 738,436 369,218 184,609 553,828 276,914 138,457 415,372 207,686 103,843 311,530 155,765 467,296 233,648 116,824 58,412 29,206 14,603 43,810 21,905 65,716 32,858 16,429 49,288 24,644 12,322 6,161 18,484 9,242 4,621 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40

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