4,444,072

2³ × 17 × 41 × 797

Starting at 4,444,072, the Collatz iteration reaches 1 after 286 steps. The first transition is 2222036; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 41 × 797

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,049,320

Proper Divisor Sum 4,605,248

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4444049 ← → #4444087

Radix Representation

Decimal	4444072
Binary	10000111100111110101000 (23 bits)
Octal	0o20747650
Hexadecimal	0x43CFA8

Divisor Catalog (32)

1 2 4 8 17 34 41 68 82 136 164 328 697 797 1,394 1,594 2,788 3,188 5,576 6,376 13,549 27,098 32,677 54,196 65,354 108,392 130,708 261,416 555,509 1,111,018 2,222,036 4,444,072

Collatz Trajectory (286 steps to reach 1)

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

4,444,072 2,222,036 1,111,018 555,509 1,666,528 833,264 416,632 208,316 104,158 52,079 156,238 78,119 234,358 117,179 351,538 175,769 527,308 263,654 131,827 395,482 197,741 593,224 296,612 148,306 74,153 222,460 111,230 55,615 166,846 83,423 250,270 125,135 375,406 187,703 563,110 281,555 844,666 422,333 1,267,000 633,500 316,750 158,375 475,126 237,563 712,690 356,345 1,069,036 534,518 267,259 801,778 400,889 1,202,668 601,334 300,667 902,002 451,001 1,353,004 676,502 338,251 1,014,754

← Previous Integer #4,444,071 Browse Full Index Next Integer #4,444,073 →