λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,328,072

3,328,072

23 × 11 × 59 × 641
Abundant Even Composite

3,328,072 factors as 2^3 × 11 × 59 × 641. Its 32 positive divisors give a proper-divisor sum of 3,605,528, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 59 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,933,600
Proper Divisor Sum 3,605,528
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3328063 ← → #3328111

Radix Representation

Decimal 3328072
Binary 1100101100100001001000 (22 bits)
Octal 0o14544110
Hexadecimal 0x32C848

Divisor Catalog (32)

1 2 4 8 11 22 44 59 88 118 236 472 641 649 1,282 1,298 2,564 2,596 5,128 5,192 7,051 14,102 28,204 37,819 56,408 75,638 151,276 302,552 416,009 832,018 1,664,036 3,328,072

Collatz Trajectory (208 steps to reach 1)

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

3,328,072 1,664,036 832,018 416,009 1,248,028 624,014 312,007 936,022 468,011 1,404,034 702,017 2,106,052 1,053,026 526,513 1,579,540 789,770 394,885 1,184,656 592,328 296,164 148,082 74,041 222,124 111,062 55,531 166,594 83,297 249,892 124,946 62,473 187,420 93,710 46,855 140,566 70,283 210,850 105,425 316,276 158,138 79,069 237,208 118,604 59,302 29,651 88,954 44,477 133,432 66,716 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,328,071 Browse Full Index Next Integer #3,328,073 →