4,392,575

5² × 11 × 15973

Starting at 4,392,575, the Collatz iteration reaches 1 after 123 steps. The first transition is 13177726; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 15973

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,942,328

Proper Divisor Sum 1,549,753

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4392571 ← → #4392589

Radix Representation

Decimal	4392575
Binary	10000110000011001111111 (23 bits)
Octal	0o20603177
Hexadecimal	0x43067F

Divisor Catalog (12)

1 5 11 25 55 275 15,973 79,865 175,703 399,325 878,515 4,392,575

Collatz Trajectory (123 steps to reach 1)

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

4,392,575 13,177,726 6,588,863 19,766,590 9,883,295 29,649,886 14,824,943 44,474,830 22,237,415 66,712,246 33,356,123 100,068,370 50,034,185 150,102,556 75,051,278 37,525,639 112,576,918 56,288,459 168,865,378 84,432,689 253,298,068 126,649,034 63,324,517 189,973,552 94,986,776 47,493,388 23,746,694 11,873,347 35,620,042 17,810,021 53,430,064 26,715,032 13,357,516 6,678,758 3,339,379 10,018,138 5,009,069 15,027,208 7,513,604 3,756,802 1,878,401 5,635,204 2,817,602 1,408,801 4,226,404 2,113,202 1,056,601 3,169,804 1,584,902 792,451 2,377,354 1,188,677 3,566,032 1,783,016 891,508 445,754 222,877 668,632 334,316 167,158

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