7,556,827

523 × 14449

Starting at 7,556,827, the Collatz iteration reaches 1 after 111 steps. The first transition is 22670482; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 523 × 14449

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,571,800

Proper Divisor Sum 14,973

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7556821 ← → #7556831

Radix Representation

Decimal	7556827
Binary	11100110100111011011011 (23 bits)
Octal	0o34647333
Hexadecimal	0x734EDB

Divisor Catalog (4)

1 523 14,449 7,556,827

Collatz Trajectory (111 steps to reach 1)

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

7,556,827 22,670,482 11,335,241 34,005,724 17,002,862 8,501,431 25,504,294 12,752,147 38,256,442 19,128,221 57,384,664 28,692,332 14,346,166 7,173,083 21,519,250 10,759,625 32,278,876 16,139,438 8,069,719 24,209,158 12,104,579 36,313,738 18,156,869 54,470,608 27,235,304 13,617,652 6,808,826 3,404,413 10,213,240 5,106,620 2,553,310 1,276,655 3,829,966 1,914,983 5,744,950 2,872,475 8,617,426 4,308,713 12,926,140 6,463,070 3,231,535 9,694,606 4,847,303 14,541,910 7,270,955 21,812,866 10,906,433 32,719,300 16,359,650 8,179,825 24,539,476 12,269,738 6,134,869 18,404,608 9,202,304 4,601,152 2,300,576 1,150,288 575,144 287,572

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