6,572,016

2⁴ × 3⁴ × 11 × 461

6,572,016 factors as 2^4 × 3^4 × 11 × 461. Its 100 positive divisors give a proper-divisor sum of 14,223,528, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 11 × 461

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 20,795,544

Proper Divisor Sum 14,223,528

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6572011 ← → #6572029

Radix Representation

Decimal	6572016
Binary	11001000100011111110000 (23 bits)
Octal	0o31043760
Hexadecimal	0x6447F0

Divisor Catalog (60 of 100)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 461 528 594 648 792 891 922 1,188 1,296 1,383 1,584 1,782 1,844 2,376 2,766 3,564 3,688 4,149 4,752 5,071 5,532 7,128 7,376 8,298

Collatz Trajectory (209 steps to reach 1)

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

6,572,016 3,286,008 1,643,004 821,502 410,751 1,232,254 616,127 1,848,382 924,191 2,772,574 1,386,287 4,158,862 2,079,431 6,238,294 3,119,147 9,357,442 4,678,721 14,036,164 7,018,082 3,509,041 10,527,124 5,263,562 2,631,781 7,895,344 3,947,672 1,973,836 986,918 493,459 1,480,378 740,189 2,220,568 1,110,284 555,142 277,571 832,714 416,357 1,249,072 624,536 312,268 156,134 78,067 234,202 117,101 351,304 175,652 87,826 43,913 131,740 65,870 32,935 98,806 49,403 148,210 74,105 222,316 111,158 55,579 166,738 83,369 250,108

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,572,015 Browse Full Index Next Integer #6,572,017 →