3,072,272

2⁴ × 7 × 27431

3,072,272 factors as 2^4 × 7 × 27431. Its 20 positive divisors give a proper-divisor sum of 3,730,864, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 27431

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 6,803,136

Proper Divisor Sum 3,730,864

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3072269 ← → #3072283

Radix Representation

Decimal	3072272
Binary	1011101110000100010000 (22 bits)
Octal	0o13560420
Hexadecimal	0x2EE110

Divisor Catalog (20)

Collatz Trajectory (151 steps to reach 1)

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

3,072,272 1,536,136 768,068 384,034 192,017 576,052 288,026 144,013 432,040 216,020 108,010 54,005 162,016 81,008 40,504 20,252 10,126 5,063 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,072,271 Browse Full Index Next Integer #3,072,273 →