38,192

2⁴ × 7 × 11 × 31

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 95,232

Proper Divisor Sum 57,040

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #38189 ← → #38197

Radix Representation

Decimal	38192
Binary	1001010100110000 (16 bits)
Octal	0o112460
Hexadecimal	0x9530

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 434 496 616 682 868 1,232 1,364 1,736 2,387 2,728 3,472 4,774 5,456 9,548 19,096 38,192

Collatz Trajectory (106 steps to reach 1)

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

38,192 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #38,191 Browse Full Index Next Integer #38,193 →