8,991,824

2⁴ × 251 × 2239

Starting at 8,991,824, the Collatz iteration reaches 1 after 111 steps. The first transition is 4495912; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 251 × 2239

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 17,498,880

Proper Divisor Sum 8,507,056

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8991823 ← → #8991839

Radix Representation

Decimal	8991824
Binary	100010010011010001010000 (24 bits)
Octal	0o42232120
Hexadecimal	0x893450

Divisor Catalog (20)

1 2 4 8 16 251 502 1,004 2,008 2,239 4,016 4,478 8,956 17,912 35,824 561,989 1,123,978 2,247,956 4,495,912 8,991,824

Collatz Trajectory (111 steps to reach 1)

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

8,991,824 4,495,912 2,247,956 1,123,978 561,989 1,685,968 842,984 421,492 210,746 105,373 316,120 158,060 79,030 39,515 118,546 59,273 177,820 88,910 44,455 133,366 66,683 200,050 100,025 300,076 150,038 75,019 225,058 112,529 337,588 168,794 84,397 253,192 126,596 63,298 31,649 94,948 47,474 23,737 71,212 35,606 17,803 53,410 26,705 80,116 40,058 20,029 60,088 30,044 15,022 7,511 22,534 11,267 33,802 16,901 50,704 25,352 12,676 6,338 3,169 9,508

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