8,449,608

2³ × 3 × 31 × 41 × 277

Starting at 8,449,608, the Collatz iteration reaches 1 after 106 steps. The first transition is 4224804; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 41 × 277

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 22,417,920

Proper Divisor Sum 13,968,312

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8449607 ← → #8449627

Radix Representation

Decimal	8449608
Binary	100000001110111001001000 (24 bits)
Octal	0o40167110
Hexadecimal	0x80EE48

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 186 246 248 277 328 372 492 554 744 831 984 1,108 1,271 1,662 2,216 2,542 3,324 3,813 5,084 6,648 7,626 8,587 10,168 11,357 15,252 17,174 22,714 25,761 30,504 34,071 34,348 45,428 51,522 68,142 68,696 90,856 103,044 136,284 206,088 272,568 352,067 704,134 1,056,201 1,408,268

Collatz Trajectory (106 steps to reach 1)

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

8,449,608 4,224,804 2,112,402 1,056,201 3,168,604 1,584,302 792,151 2,376,454 1,188,227 3,564,682 1,782,341 5,347,024 2,673,512 1,336,756 668,378 334,189 1,002,568 501,284 250,642 125,321 375,964 187,982 93,991 281,974 140,987 422,962 211,481 634,444 317,222 158,611 475,834 237,917 713,752 356,876 178,438 89,219 267,658 133,829 401,488 200,744 100,372 50,186 25,093 75,280 37,640 18,820 9,410 4,705 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936

← Previous Integer #8,449,607 Browse Full Index Next Integer #8,449,609 →