λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,034,752

8,034,752

26 × 11 × 101 × 113
Abundant Even Composite

8,034,752 factors as 2^6 × 11 × 101 × 113. Its 56 positive divisors give a proper-divisor sum of 9,686,320, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 101 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 17,721,072
Proper Divisor Sum 9,686,320
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8034749 ← → #8034757

Radix Representation

Decimal 8034752
Binary 11110101001100111000000 (23 bits)
Octal 0o36514700
Hexadecimal 0x7A99C0

Divisor Catalog (56)

1 2 4 8 11 16 22 32 44 64 88 101 113 176 202 226 352 404 452 704 808 904 1,111 1,243 1,616 1,808 2,222 2,486 3,232 3,616 4,444 4,972 6,464 7,232 8,888 9,944 11,413 17,776 19,888 22,826 35,552 39,776 45,652 71,104 79,552 91,304 125,543 182,608 251,086 365,216 502,172 730,432 1,004,344 2,008,688 4,017,376 8,034,752

Collatz Trajectory (186 steps to reach 1)

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

8,034,752 4,017,376 2,008,688 1,004,344 502,172 251,086 125,543 376,630 188,315 564,946 282,473 847,420 423,710 211,855 635,566 317,783 953,350 476,675 1,430,026 715,013 2,145,040 1,072,520 536,260 268,130 134,065 402,196 201,098 100,549 301,648 150,824 75,412 37,706 18,853 56,560 28,280 14,140 7,070 3,535 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,034,751 Browse Full Index Next Integer #8,034,753 →