λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,769,152

8,769,152

27 × 7 × 9787
Abundant Even Composite

8,769,152 factors as 2^7 × 7 × 9787. Its 32 positive divisors give a proper-divisor sum of 11,198,368, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^7 × 7 × 9787
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,967,520
Proper Divisor Sum 11,198,368
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8769151 ← → #8769157

Radix Representation

Decimal 8769152
Binary 100001011100111010000000 (24 bits)
Octal 0o41347200
Hexadecimal 0x85CE80

Divisor Catalog (32)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 9,787 19,574 39,148 68,509 78,296 137,018 156,592 274,036 313,184 548,072 626,368 1,096,144 1,252,736 2,192,288 4,384,576 8,769,152

Collatz Trajectory (119 steps to reach 1)

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

8,769,152 4,384,576 2,192,288 1,096,144 548,072 274,036 137,018 68,509 205,528 102,764 51,382 25,691 77,074 38,537 115,612 57,806 28,903 86,710 43,355 130,066 65,033 195,100 97,550 48,775 146,326 73,163 219,490 109,745 329,236 164,618 82,309 246,928 123,464 61,732 30,866 15,433 46,300 23,150 11,575 34,726 17,363 52,090 26,045 78,136 39,068 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,769,151 Browse Full Index Next Integer #8,769,153 →