8,650,440

2³ × 3² × 5 × 24029

Starting at 8,650,440, the Collatz iteration reaches 1 after 168 steps. The first transition is 4325220; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 24029

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 28,115,100

Proper Divisor Sum 19,464,660

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8650429 ← → #8650451

Radix Representation

Decimal	8650440
Binary	100000111111111011001000 (24 bits)
Octal	0o40777310
Hexadecimal	0x83FEC8

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 24,029 48,058 72,087 96,116 120,145 144,174 192,232 216,261 240,290 288,348 360,435 432,522 480,580 576,696 720,870 865,044 961,160 1,081,305 1,441,740 1,730,088 2,162,610 2,883,480 4,325,220 8,650,440

Collatz Trajectory (168 steps to reach 1)

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

8,650,440 4,325,220 2,162,610 1,081,305 3,243,916 1,621,958 810,979 2,432,938 1,216,469 3,649,408 1,824,704 912,352 456,176 228,088 114,044 57,022 28,511 85,534 42,767 128,302 64,151 192,454 96,227 288,682 144,341 433,024 216,512 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152

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