8,681,175

3⁵ × 5² × 1429

Starting at 8,681,175, the Collatz iteration reaches 1 after 119 steps. The first transition is 26043526; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 5^2 × 1429

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 16,136,120

Proper Divisor Sum 7,454,945

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8681159 ← → #8681177

Radix Representation

Decimal	8681175
Binary	100001000111011011010111 (24 bits)
Octal	0o41073327
Hexadecimal	0x8476D7

Divisor Catalog (36)

1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 1,215 1,429 2,025 4,287 6,075 7,145 12,861 21,435 35,725 38,583 64,305 107,175 115,749 192,915 321,525 347,247 578,745 964,575 1,736,235 2,893,725 8,681,175

Collatz Trajectory (119 steps to reach 1)

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

8,681,175 26,043,526 13,021,763 39,065,290 19,532,645 58,597,936 29,298,968 14,649,484 7,324,742 3,662,371 10,987,114 5,493,557 16,480,672 8,240,336 4,120,168 2,060,084 1,030,042 515,021 1,545,064 772,532 386,266 193,133 579,400 289,700 144,850 72,425 217,276 108,638 54,319 162,958 81,479 244,438 122,219 366,658 183,329 549,988 274,994 137,497 412,492 206,246 103,123 309,370 154,685 464,056 232,028 116,014 58,007 174,022 87,011 261,034 130,517 391,552 195,776 97,888 48,944 24,472 12,236 6,118 3,059 9,178

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