8,581,776

2⁴ × 3 × 7 × 25541

Starting at 8,581,776, the Collatz iteration reaches 1 after 150 steps. The first transition is 4290888; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 25541

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 25,337,664

Proper Divisor Sum 16,755,888

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8581759 ← → #8581789

Radix Representation

Decimal	8581776
Binary	100000101111001010010000 (24 bits)
Octal	0o40571220
Hexadecimal	0x82F290

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 25,541 51,082 76,623 102,164 153,246 178,787 204,328 306,492 357,574 408,656 536,361 612,984 715,148 1,072,722 1,225,968 1,430,296 2,145,444 2,860,592 4,290,888 8,581,776

Collatz Trajectory (150 steps to reach 1)

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

8,581,776 4,290,888 2,145,444 1,072,722 536,361 1,609,084 804,542 402,271 1,206,814 603,407 1,810,222 905,111 2,715,334 1,357,667 4,073,002 2,036,501 6,109,504 3,054,752 1,527,376 763,688 381,844 190,922 95,461 286,384 143,192 71,596 35,798 17,899 53,698 26,849 80,548 40,274 20,137 60,412 30,206 15,103 45,310 22,655 67,966 33,983 101,950 50,975 152,926 76,463 229,390 114,695 344,086 172,043 516,130 258,065 774,196 387,098 193,549 580,648 290,324 145,162 72,581 217,744 108,872 54,436

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