8,379,088

2⁴ × 41 × 53 × 241

Starting at 8,379,088, the Collatz iteration reaches 1 after 75 steps. The first transition is 4189544; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 41 × 53 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 17,014,536

Proper Divisor Sum 8,635,448

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8379073 ← → #8379127

Radix Representation

Decimal	8379088
Binary	11111111101101011010000 (23 bits)
Octal	0o37755320
Hexadecimal	0x7FDAD0

Divisor Catalog (40)

1 2 4 8 16 41 53 82 106 164 212 241 328 424 482 656 848 964 1,928 2,173 3,856 4,346 8,692 9,881 12,773 17,384 19,762 25,546 34,768 39,524 51,092 79,048 102,184 158,096 204,368 523,693 1,047,386 2,094,772 4,189,544 8,379,088

Collatz Trajectory (75 steps to reach 1)

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

8,379,088 4,189,544 2,094,772 1,047,386 523,693 1,571,080 785,540 392,770 196,385 589,156 294,578 147,289 441,868 220,934 110,467 331,402 165,701 497,104 248,552 124,276 62,138 31,069 93,208 46,604 23,302 11,651 34,954 17,477 52,432 26,216 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7

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