8,408,048

2⁴ × 11² × 43 × 101

Starting at 8,408,048, the Collatz iteration reaches 1 after 93 steps. The first transition is 4204024; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11^2 × 43 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 18,504,024

Proper Divisor Sum 10,095,976

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8408039 ← → #8408053

Radix Representation

Decimal	8408048
Binary	100000000100101111110000 (24 bits)
Octal	0o40045760
Hexadecimal	0x804BF0

Divisor Catalog (60)

1 2 4 8 11 16 22 43 44 86 88 101 121 172 176 202 242 344 404 473 484 688 808 946 968 1,111 1,616 1,892 1,936 2,222 3,784 4,343 4,444 5,203 7,568 8,686 8,888 10,406 12,221 17,372 17,776 20,812 24,442 34,744 41,624 47,773 48,884 69,488 83,248 95,546 97,768 191,092 195,536 382,184 525,503 764,368 1,051,006 2,102,012 4,204,024 8,408,048

Collatz Trajectory (93 steps to reach 1)

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

8,408,048 4,204,024 2,102,012 1,051,006 525,503 1,576,510 788,255 2,364,766 1,182,383 3,547,150 1,773,575 5,320,726 2,660,363 7,981,090 3,990,545 11,971,636 5,985,818 2,992,909 8,978,728 4,489,364 2,244,682 1,122,341 3,367,024 1,683,512 841,756 420,878 210,439 631,318 315,659 946,978 473,489 1,420,468 710,234 355,117 1,065,352 532,676 266,338 133,169 399,508 199,754 99,877 299,632 149,816 74,908 37,454 18,727 56,182 28,091 84,274 42,137 126,412 63,206 31,603 94,810 47,405 142,216 71,108 35,554 17,777 53,332

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