7,828,558

2 × 3914279

Starting at 7,828,558, the Collatz iteration reaches 1 after 155 steps. The first transition is 3914279; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3914279

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 11,742,840

Proper Divisor Sum 3,914,282

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7828553 ← → #7828559

Radix Representation

Decimal	7828558
Binary	11101110111010001001110 (23 bits)
Octal	0o35672116
Hexadecimal	0x77744E

Divisor Catalog (4)

1 2 3,914,279 7,828,558

Collatz Trajectory (155 steps to reach 1)

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

7,828,558 3,914,279 11,742,838 5,871,419 17,614,258 8,807,129 26,421,388 13,210,694 6,605,347 19,816,042 9,908,021 29,724,064 14,862,032 7,431,016 3,715,508 1,857,754 928,877 2,786,632 1,393,316 696,658 348,329 1,044,988 522,494 261,247 783,742 391,871 1,175,614 587,807 1,763,422 881,711 2,645,134 1,322,567 3,967,702 1,983,851 5,951,554 2,975,777 8,927,332 4,463,666 2,231,833 6,695,500 3,347,750 1,673,875 5,021,626 2,510,813 7,532,440 3,766,220 1,883,110 941,555 2,824,666 1,412,333 4,237,000 2,118,500 1,059,250 529,625 1,588,876 794,438 397,219 1,191,658 595,829 1,787,488

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