λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,212,608

3,212,608

26 × 7 × 71 × 101
Abundant Even Composite

3,212,608 factors as 2^6 × 7 × 71 × 101. Its 56 positive divisors give a proper-divisor sum of 4,248,896, so this integer is abundant. The Collatz stopping time is 45 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 71 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 7,461,504
Proper Divisor Sum 4,248,896
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3212603 ← → #3212611

Radix Representation

Decimal 3212608
Binary 1100010000010101000000 (22 bits)
Octal 0o14202500
Hexadecimal 0x310540

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 56 64 71 101 112 142 202 224 284 404 448 497 568 707 808 994 1,136 1,414 1,616 1,988 2,272 2,828 3,232 3,976 4,544 5,656 6,464 7,171 7,952 11,312 14,342 15,904 22,624 28,684 31,808 45,248 50,197 57,368 100,394 114,736 200,788 229,472 401,576 458,944 803,152 1,606,304 3,212,608

Collatz Trajectory (45 steps to reach 1)

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

3,212,608 1,606,304 803,152 401,576 200,788 100,394 50,197 150,592 75,296 37,648 18,824 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #3,212,607 Browse Full Index Next Integer #3,212,609 →