4,447,989

3² × 7 × 13 × 5431

Starting at 4,447,989, the Collatz iteration reaches 1 after 193 steps. The first transition is 13343968; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 5431

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,908,992

Proper Divisor Sum 3,461,003

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #4447987 ← → #4447997

Radix Representation

Decimal	4447989
Binary	10000111101111011110101 (23 bits)
Octal	0o20757365
Hexadecimal	0x43DEF5

Divisor Catalog (24)

1 3 7 9 13 21 39 63 91 117 273 819 5,431 16,293 38,017 48,879 70,603 114,051 211,809 342,153 494,221 635,427 1,482,663 4,447,989

Collatz Trajectory (193 steps to reach 1)

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

4,447,989 13,343,968 6,671,984 3,335,992 1,667,996 833,998 416,999 1,250,998 625,499 1,876,498 938,249 2,814,748 1,407,374 703,687 2,111,062 1,055,531 3,166,594 1,583,297 4,749,892 2,374,946 1,187,473 3,562,420 1,781,210 890,605 2,671,816 1,335,908 667,954 333,977 1,001,932 500,966 250,483 751,450 375,725 1,127,176 563,588 281,794 140,897 422,692 211,346 105,673 317,020 158,510 79,255 237,766 118,883 356,650 178,325 534,976 267,488 133,744 66,872 33,436 16,718 8,359 25,078 12,539 37,618 18,809 56,428 28,214

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