8,467,278

2 × 3 × 31 × 45523

Starting at 8,467,278, the Collatz iteration reaches 1 after 155 steps. The first transition is 4233639; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 45523

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,481,216

Proper Divisor Sum 9,013,938

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8467271 ← → #8467297

Radix Representation

Decimal	8467278
Binary	100000010011001101001110 (24 bits)
Octal	0o40231516
Hexadecimal	0x81334E

Divisor Catalog (16)

1 2 3 6 31 62 93 186 45,523 91,046 136,569 273,138 1,411,213 2,822,426 4,233,639 8,467,278

Collatz Trajectory (155 steps to reach 1)

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

8,467,278 4,233,639 12,700,918 6,350,459 19,051,378 9,525,689 28,577,068 14,288,534 7,144,267 21,432,802 10,716,401 32,149,204 16,074,602 8,037,301 24,111,904 12,055,952 6,027,976 3,013,988 1,506,994 753,497 2,260,492 1,130,246 565,123 1,695,370 847,685 2,543,056 1,271,528 635,764 317,882 158,941 476,824 238,412 119,206 59,603 178,810 89,405 268,216 134,108 67,054 33,527 100,582 50,291 150,874 75,437 226,312 113,156 56,578 28,289 84,868 42,434 21,217 63,652 31,826 15,913 47,740 23,870 11,935 35,806 17,903 53,710

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