9,552,192

2⁶ × 3 × 13 × 43 × 89

Starting at 9,552,192, the Collatz iteration reaches 1 after 101 steps. The first transition is 4776096; the starting value is even with 112 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 13 × 43 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 28,163,520

Proper Divisor Sum 18,611,328

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9552187 ← → #9552197

Radix Representation

Decimal	9552192
Binary	100100011100000101000000 (24 bits)
Octal	0o44340500
Hexadecimal	0x91C140

Divisor Catalog (60 of 112)

1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 89 96 104 129 156 172 178 192 208 258 267 312 344 356 416 516 534 559 624 688 712 832 1,032 1,068 1,118 1,157 1,248 1,376 1,424 1,677 2,064 2,136 2,236 2,314 2,496 2,752 2,848 3,354 3,471 3,827 4,128

Collatz Trajectory (101 steps to reach 1)

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

9,552,192 4,776,096 2,388,048 1,194,024 597,012 298,506 149,253 447,760 223,880 111,940 55,970 27,985 83,956 41,978 20,989 62,968 31,484 15,742 7,871 23,614 11,807 35,422 17,711 53,134 26,567 79,702 39,851 119,554 59,777 179,332 89,666 44,833 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744 28,372 14,186 7,093 21,280 10,640 5,320 2,660 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281

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