8,388,492

2² × 3 × 7 × 37 × 2699

Starting at 8,388,492, the Collatz iteration reaches 1 after 137 steps. The first transition is 4194246; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 37 × 2699

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,982,400

Proper Divisor Sum 14,593,908

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8388473 ← → #8388539

Radix Representation

Decimal	8388492
Binary	11111111111111110001100 (23 bits)
Octal	0o37777614
Hexadecimal	0x7FFF8C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1,036 1,554 2,699 3,108 5,398 8,097 10,796 16,194 18,893 32,388 37,786 56,679 75,572 99,863 113,358 199,726 226,716 299,589 399,452 599,178 699,041 1,198,356 1,398,082 2,097,123 2,796,164 4,194,246 8,388,492

Collatz Trajectory (137 steps to reach 1)

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

8,388,492 4,194,246 2,097,123 6,291,370 3,145,685 9,437,056 4,718,528 2,359,264 1,179,632 589,816 294,908 147,454 73,727 221,182 110,591 331,774 165,887 497,662 248,831 746,494 373,247 1,119,742 559,871 1,679,614 839,807 2,519,422 1,259,711 3,779,134 1,889,567 5,668,702 2,834,351 8,503,054 4,251,527 12,754,582 6,377,291 19,131,874 9,565,937 28,697,812 14,348,906 7,174,453 21,523,360 10,761,680 5,380,840 2,690,420 1,345,210 672,605 2,017,816 1,008,908 504,454 252,227 756,682 378,341 1,135,024 567,512 283,756 141,878 70,939 212,818 106,409 319,228

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