576,016

2⁴ × 7 × 37 × 139

576,016 factors as 2^4 × 7 × 37 × 139. Its 40 positive divisors give a proper-divisor sum of 743,344, so this integer is abundant. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 37 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 1,319,360

Proper Divisor Sum 743,344

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #576013 ← → #576019

Radix Representation

Decimal	576016
Binary	10001100101000010000 (20 bits)
Octal	0o2145020
Hexadecimal	0x8CA10

Divisor Catalog (40)

1 2 4 7 8 14 16 28 37 56 74 112 139 148 259 278 296 518 556 592 973 1,036 1,112 1,946 2,072 2,224 3,892 4,144 5,143 7,784 10,286 15,568 20,572 36,001 41,144 72,002 82,288 144,004 288,008 576,016

Collatz Trajectory (221 steps to reach 1)

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

576,016 288,008 144,004 72,002 36,001 108,004 54,002 27,001 81,004 40,502 20,251 60,754 30,377 91,132 45,566 22,783 68,350 34,175 102,526 51,263 153,790 76,895 230,686 115,343 346,030 173,015 519,046 259,523 778,570 389,285 1,167,856 583,928 291,964 145,982 72,991 218,974 109,487 328,462 164,231 492,694 246,347 739,042 369,521 1,108,564 554,282 277,141 831,424 415,712 207,856 103,928 51,964 25,982 12,991 38,974 19,487 58,462 29,231 87,694 43,847 131,542

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #576,015 Browse Full Index Next Integer #576,017 →