7,888,984

2³ × 83 × 109²

Starting at 7,888,984, the Collatz iteration reaches 1 after 142 steps. The first transition is 3944492; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 83 × 109^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,108,660

Proper Divisor Sum 7,219,676

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #7888981 ← → #7888987

Radix Representation

Decimal	7888984
Binary	11110000110000001011000 (23 bits)
Octal	0o36060130
Hexadecimal	0x786058

Divisor Catalog (24)

1 2 4 8 83 109 166 218 332 436 664 872 9,047 11,881 18,094 23,762 36,188 47,524 72,376 95,048 986,123 1,972,246 3,944,492 7,888,984

Collatz Trajectory (142 steps to reach 1)

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

7,888,984 3,944,492 1,972,246 986,123 2,958,370 1,479,185 4,437,556 2,218,778 1,109,389 3,328,168 1,664,084 832,042 416,021 1,248,064 624,032 312,016 156,008 78,004 39,002 19,501 58,504 29,252 14,626 7,313 21,940 10,970 5,485 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233

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