8,472,384

2⁶ × 3³ × 4903

Starting at 8,472,384, the Collatz iteration reaches 1 after 199 steps. The first transition is 4236192; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 4903

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 24,912,320

Proper Divisor Sum 16,439,936

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8472383 ← → #8472407

Radix Representation

Decimal	8472384
Binary	100000010100011101000000 (24 bits)
Octal	0o40243500
Hexadecimal	0x814740

Divisor Catalog (56)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1,728 4,903 9,806 14,709 19,612 29,418 39,224 44,127 58,836 78,448 88,254 117,672 132,381 156,896 176,508 235,344 264,762 313,792 353,016 470,688 529,524 706,032 941,376 1,059,048 1,412,064 2,118,096 2,824,128 4,236,192 8,472,384

Collatz Trajectory (199 steps to reach 1)

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

8,472,384 4,236,192 2,118,096 1,059,048 529,524 264,762 132,381 397,144 198,572 99,286 49,643 148,930 74,465 223,396 111,698 55,849 167,548 83,774 41,887 125,662 62,831 188,494 94,247 282,742 141,371 424,114 212,057 636,172 318,086 159,043 477,130 238,565 715,696 357,848 178,924 89,462 44,731 134,194 67,097 201,292 100,646 50,323 150,970 75,485 226,456 113,228 56,614 28,307 84,922 42,461 127,384 63,692 31,846 15,923 47,770 23,885 71,656 35,828 17,914 8,957

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